Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 2.8, Problem 34PPS

a.

To determine

To find: The formula for h .

a.

Expert Solution
Check Mark

Answer to Problem 34PPS

The required formula for h is h=625−1.57r21.57 .

Explanation of Solution

Given information:

The formula for the surface area of cylinder: S=2πrh+2πr2

The value of S = 2500

Calculation:

The given formula for the surface area of the cylinder is S=2πrh+2πr2 .

Rewrite the above formula for h as,

  S=2πrh+2πr2S−2πr2=2πrhS−2πr22πr=hh=S−2πr22πr

Substitute 2500 for S and 3.14 for π in the above expression.

  h=2500−2(3.14)r22(3.14)rh=2500−6.26r26.28rh=25004−6.28r246.28r4h=625−1.57r21.57

Hence, the required formula for h is h=625−1.57r21.57 .

b.

To determine

To write: The table of values using the new formula to find h if r=20,15,10,5 and 0.

b.

Expert Solution
Check Mark

Explanation of Solution

Given information:

The formula for the surface area of cylinder: S=2πrh+2πr2

The value of S = 2500

Calculation:

The given formula for the surface area of the cylinder is S=2πrh+2πr2 .

Rewrite the above formula for h as,

  S=2πrh+2πr2S−2πr2=2πrhS−2πr22πr=hh=S−2πr22πr

Substitute 2500 for S and 3.14 for π in the above expression.

  h=2500−2(3.14)r22(3.14)rh=2500−6.26r26.28rh=25004−6.28r246.28r4h=625−1.57r21.57

The required table is shown below:

    r h
    20−0.10
    1511.54
    1029.81
    574.62
    0Undefined

c.

To determine

To find: The domain (possible values of r ).

c.

Expert Solution
Check Mark

Answer to Problem 34PPS

The required domain is 0<r<20 .

Explanation of Solution

Given information:

The formula for the surface area of cylinder: S=2πrh+2πr2

The value of S = 2500

Calculation:

The given formula for the surface area of the cylinder is S=2πrh+2πr2 .

Rewrite the above formula for h as,

  S=2πrh+2πr2S−2πr2=2πrhS−2πr22πr=hh=S−2πr22πr

Substitute 2500 for S and 3.14 for π in the above expression.

  h=2500−2(3.14)r22(3.14)rh=2500−6.26r26.28rh=25004−6.28r246.28r4h=625−1.57r21.57

The required table is shown below:

    r h
    20−0.10
    1511.54
    1029.81
    574.62
    0Undefined

Here, the radius r cannot be negative or 0.

Hence, the domain is 0<r<20 .

Previous
Chapter 2.8, Problem 28PPS
Next
Chapter 2.8, Problem 35HP

Chapter 2 Solutions

Algebra 1

Ch. 2.1 - Prob. 55SRCh. 2.1 - Prob. 56SRCh. 2.1 - Prob. 57SRCh. 2.1 - Prob. 1ACYPCh. 2.1 - Prob. 1BCYPCh. 2.1 - Prob. 2CYPCh. 2.1 - Prob. 3CYPCh. 2.1 - Prob. 4ACYPCh. 2.1 - Prob. 4BCYPCh. 2.1 - Prob. 5CYP
Ch. 2.1 - Prob. 1CYUCh. 2.1 - Prob. 2CYUCh. 2.1 - Prob. 3CYUCh. 2.1 - Prob. 4CYUCh. 2.1 - Prob. 5CYUCh. 2.1 - Prob. 6CYUCh. 2.1 - Prob. 7CYUCh. 2.1 - Prob. 8CYUCh. 2.1 - Prob. 9CYUCh. 2.1 - Prob. 10CYUCh. 2.1 - Prob. 11CYUCh. 2.1 - Prob. 12CYUCh. 2.1 - Prob. 13CYUCh. 2.1 - Prob. 14CYUCh. 2.1 - Prob. 15CYUCh. 2.1 - Prob. 16CYUCh. 2.1 - Prob. 17CYUCh. 2.1 - Prob. 18CYUCh. 2.1 - Prob. 19CYUCh. 2.1 - Prob. 20CYUCh. 2.1 - Prob. 21PPSCh. 2.1 - Prob. 22PPSCh. 2.1 - Prob. 23PPSCh. 2.1 - Prob. 24PPSCh. 2.1 - Prob. 25PPSCh. 2.1 - Prob. 26PPSCh. 2.1 - Prob. 27PPSCh. 2.1 - Prob. 28PPSCh. 2.1 - Prob. 29PPSCh. 2.1 - Prob. 30PPSCh. 2.1 - Prob. 31PPSCh. 2.1 - Prob. 32PPSCh. 2.1 - Prob. 33PPSCh. 2.1 - Prob. 34PPSCh. 2.1 - Prob. 35PPSCh. 2.1 - Prob. 36PPSCh. 2.1 - Prob. 37PPSCh. 2.1 - Prob. 38PPSCh. 2.1 - Prob. 39PPSCh. 2.1 - Prob. 40PPSCh. 2.1 - Prob. 41PPSCh. 2.1 - Prob. 42PPSCh. 2.1 - Prob. 43PPSCh. 2.1 - Prob. 44PPSCh. 2.1 - Prob. 45PPSCh. 2.1 - Prob. 46PPSCh. 2.1 - Prob. 47HPCh. 2.1 - Prob. 48HPCh. 2.1 - Prob. 49HPCh. 2.1 - Prob. 50HPCh. 2.1 - Prob. 51STPCh. 2.1 - Prob. 52STPCh. 2.1 - Prob. 53STPCh. 2.1 - Prob. 54STPCh. 2.1 - Prob. 60SCh. 2.1 - Prob. 61SCh. 2.1 - Prob. 62SCh. 2.1 - Prob. 63SCh. 2.1 - Prob. 58SRCh. 2.1 - Prob. 59SRCh. 2.2 - Prob. 78HPCh. 2.2 - Prob. 62PPSCh. 2.2 - Prob. 63PPSCh. 2.2 - Prob. 64PPSCh. 2.2 - Prob. 65PPSCh. 2.2 - Prob. 66PPSCh. 2.2 - Prob. 67PPSCh. 2.2 - Prob. 68PPSCh. 2.2 - Prob. 69PPSCh. 2.2 - Prob. 70PPSCh. 2.2 - Prob. 71PPSCh. 2.2 - Prob. 83SRCh. 2.2 - Prob. 84SRCh. 2.2 - Prob. 85SRCh. 2.2 - Prob. 86SRCh. 2.2 - Prob. 87SRCh. 2.2 - Prob. 88SRCh. 2.2 - Prob. 89SRCh. 2.2 - Prob. 90SRCh. 2.2 - Prob. 91SCh. 2.2 - Prob. 92SCh. 2.2 - Prob. 82STPCh. 2.2 - Prob. 1ACYPCh. 2.2 - Prob. 1BCYPCh. 2.2 - Prob. 2ACYPCh. 2.2 - Prob. 2BCYPCh. 2.2 - Prob. 3ACYPCh. 2.2 - Prob. 3BCYPCh. 2.2 - Prob. 4CYPCh. 2.2 - Prob. 1CYUCh. 2.2 - Prob. 2CYUCh. 2.2 - Prob. 3CYUCh. 2.2 - Prob. 4CYUCh. 2.2 - Prob. 5CYUCh. 2.2 - Prob. 6CYUCh. 2.2 - Prob. 7CYUCh. 2.2 - Prob. 8CYUCh. 2.2 - Prob. 9CYUCh. 2.2 - Prob. 10CYUCh. 2.2 - Prob. 11CYUCh. 2.2 - Prob. 12CYUCh. 2.2 - Prob. 13CYUCh. 2.2 - Prob. 14CYUCh. 2.2 - Prob. 15CYUCh. 2.2 - Prob. 16CYUCh. 2.2 - Prob. 17CYUCh. 2.2 - Prob. 18PPSCh. 2.2 - Prob. 19PPSCh. 2.2 - Prob. 20PPSCh. 2.2 - Prob. 21PPSCh. 2.2 - Prob. 22PPSCh. 2.2 - Prob. 23PPSCh. 2.2 - Prob. 24PPSCh. 2.2 - Prob. 25PPSCh. 2.2 - Prob. 26PPSCh. 2.2 - Prob. 27PPSCh. 2.2 - Prob. 28PPSCh. 2.2 - Prob. 29PPSCh. 2.2 - Prob. 30PPSCh. 2.2 - Prob. 31PPSCh. 2.2 - Prob. 32PPSCh. 2.2 - Prob. 33PPSCh. 2.2 - Prob. 34PPSCh. 2.2 - Prob. 35PPSCh. 2.2 - Prob. 36PPSCh. 2.2 - Prob. 37PPSCh. 2.2 - Prob. 38PPSCh. 2.2 - Prob. 39PPSCh. 2.2 - Prob. 40PPSCh. 2.2 - Prob. 41PPSCh. 2.2 - Prob. 42PPSCh. 2.2 - Prob. 43PPSCh. 2.2 - Prob. 44PPSCh. 2.2 - Prob. 45PPSCh. 2.2 - Prob. 46PPSCh. 2.2 - Prob. 47PPSCh. 2.2 - Prob. 48PPSCh. 2.2 - Prob. 49PPSCh. 2.2 - Prob. 50PPSCh. 2.2 - Prob. 51PPSCh. 2.2 - Prob. 52PPSCh. 2.2 - Prob. 53PPSCh. 2.2 - Prob. 54PPSCh. 2.2 - Prob. 55PPSCh. 2.2 - Prob. 56PPSCh. 2.2 - Prob. 57PPSCh. 2.2 - Prob. 58PPSCh. 2.2 - Prob. 59PPSCh. 2.2 - Prob. 60PPSCh. 2.2 - Prob. 61PPSCh. 2.2 - Prob. 72HPCh. 2.2 - Prob. 73HPCh. 2.2 - Prob. 74HPCh. 2.2 - Prob. 75HPCh. 2.2 - Prob. 76HPCh. 2.2 - Prob. 77HPCh. 2.2 - Prob. 79STPCh. 2.2 - Prob. 80STPCh. 2.2 - Prob. 81STPCh. 2.3 - Prob. 51PPSCh. 2.3 - Prob. 52PPSCh. 2.3 - Prob. 53HPCh. 2.3 - Prob. 57HPCh. 2.3 - Prob. 54HPCh. 2.3 - Prob. 55HPCh. 2.3 - Prob. 56HPCh. 2.3 - Prob. 58STPCh. 2.3 - Prob. 59STPCh. 2.3 - Prob. 60STPCh. 2.3 - Prob. 61STPCh. 2.3 - Prob. 62SRCh. 2.3 - Prob. 63SRCh. 2.3 - Prob. 64SRCh. 2.3 - Prob. 65SRCh. 2.3 - Prob. 66SRCh. 2.3 - Prob. 67SRCh. 2.3 - Prob. 68SRCh. 2.3 - Prob. 69SRCh. 2.3 - Prob. 70SRCh. 2.3 - Prob. 46PPSCh. 2.3 - Prob. 47PPSCh. 2.3 - Prob. 48PPSCh. 2.3 - Prob. 49PPSCh. 2.3 - Prob. 50PPSCh. 2.3 - Prob. 71SRCh. 2.3 - Prob. 72SRCh. 2.3 - Prob. 73SRCh. 2.3 - Prob. 74SRCh. 2.3 - Prob. 75SCh. 2.3 - Prob. 76SCh. 2.3 - Prob. 77SCh. 2.3 - Prob. 78SCh. 2.3 - Prob. 1ACYPCh. 2.3 - Prob. 1BCYPCh. 2.3 - Prob. 2ACYPCh. 2.3 - Prob. 2BCYPCh. 2.3 - Prob. 3CYPCh. 2.3 - Prob. 1CYUCh. 2.3 - Prob. 2CYUCh. 2.3 - Prob. 3CYUCh. 2.3 - Prob. 4CYUCh. 2.3 - Prob. 5CYUCh. 2.3 - Prob. 6CYUCh. 2.3 - Prob. 7CYUCh. 2.3 - Prob. 8CYUCh. 2.3 - Prob. 9CYUCh. 2.3 - Prob. 10CYUCh. 2.3 - Prob. 11PPSCh. 2.3 - Prob. 12PPSCh. 2.3 - Prob. 13PPSCh. 2.3 - Prob. 14PPSCh. 2.3 - Prob. 15PPSCh. 2.3 - Prob. 16PPSCh. 2.3 - Prob. 17PPSCh. 2.3 - Prob. 18PPSCh. 2.3 - Prob. 19PPSCh. 2.3 - Prob. 20PPSCh. 2.3 - Prob. 21PPSCh. 2.3 - Prob. 22PPSCh. 2.3 - Prob. 23PPSCh. 2.3 - Prob. 24PPSCh. 2.3 - Prob. 25PPSCh. 2.3 - Prob. 26PPSCh. 2.3 - Prob. 27PPSCh. 2.3 - Prob. 28PPSCh. 2.3 - Prob. 29PPSCh. 2.3 - Prob. 30PPSCh. 2.3 - Prob. 31PPSCh. 2.3 - Prob. 32PPSCh. 2.3 - Prob. 33PPSCh. 2.3 - Prob. 34PPSCh. 2.3 - Prob. 35PPSCh. 2.3 - Prob. 36PPSCh. 2.3 - Prob. 37PPSCh. 2.3 - Prob. 38PPSCh. 2.3 - Prob. 39PPSCh. 2.3 - Prob. 40PPSCh. 2.3 - Prob. 41PPSCh. 2.3 - Prob. 42PPSCh. 2.3 - Prob. 43PPSCh. 2.3 - Prob. 44PPSCh. 2.3 - Prob. 45PPSCh. 2.4 - Prob. 44HPCh. 2.4 - Prob. 47HPCh. 2.4 - Prob. 3ACYPCh. 2.4 - Prob. 3BCYPCh. 2.4 - Prob. 4CYPCh. 2.4 - Prob. 3CYUCh. 2.4 - Prob. 4CYUCh. 2.4 - Prob. 5CYUCh. 2.4 - Prob. 6CYUCh. 2.4 - Prob. 7CYUCh. 2.4 - Prob. 8CYUCh. 2.4 - Prob. 9CYUCh. 2.4 - Prob. 10PPSCh. 2.4 - Prob. 11PPSCh. 2.4 - Prob. 12PPSCh. 2.4 - Prob. 13PPSCh. 2.4 - Prob. 14PPSCh. 2.4 - Prob. 15PPSCh. 2.4 - Prob. 16PPSCh. 2.4 - Prob. 17PPSCh. 2.4 - Prob. 18PPSCh. 2.4 - Prob. 19PPSCh. 2.4 - Prob. 20PPSCh. 2.4 - Prob. 21PPSCh. 2.4 - Prob. 22PPSCh. 2.4 - Prob. 23PPSCh. 2.4 - Prob. 24PPSCh. 2.4 - Prob. 25PPSCh. 2.4 - Prob. 26PPSCh. 2.4 - Prob. 27PPSCh. 2.4 - Prob. 28PPSCh. 2.4 - Prob. 29PPSCh. 2.4 - Prob. 30PPSCh. 2.4 - Prob. 31PPSCh. 2.4 - Prob. 32PPSCh. 2.4 - Prob. 33PPSCh. 2.4 - Prob. 34PPSCh. 2.4 - Prob. 35PPSCh. 2.4 - Prob. 36PPSCh. 2.4 - Prob. 37PPSCh. 2.4 - Prob. 38PPSCh. 2.4 - Prob. 39PPSCh. 2.4 - Prob. 40PPSCh. 2.4 - Prob. 41PPSCh. 2.4 - Prob. 42HPCh. 2.4 - Prob. 43HPCh. 2.4 - Prob. 45HPCh. 2.4 - Prob. 46HPCh. 2.4 - Prob. 48STPCh. 2.4 - Prob. 49STPCh. 2.4 - Prob. 50STPCh. 2.4 - Prob. 51STPCh. 2.4 - Prob. 52SRCh. 2.4 - Prob. 53SRCh. 2.4 - Prob. 54SRCh. 2.4 - Prob. 55SRCh. 2.4 - Prob. 56SRCh. 2.4 - Prob. 57SRCh. 2.4 - Prob. 58SRCh. 2.4 - Prob. 59SRCh. 2.4 - Prob. 60SRCh. 2.4 - Prob. 61SRCh. 2.4 - Prob. 62SRCh. 2.4 - Prob. 63SRCh. 2.4 - Prob. 64SRCh. 2.4 - Prob. 65SRCh. 2.4 - Prob. 66SCh. 2.4 - Prob. 67SCh. 2.4 - Prob. 68SCh. 2.4 - Prob. 69SCh. 2.4 - Prob. 70SCh. 2.4 - Prob. 71SCh. 2.4 - Prob. 72SCh. 2.4 - Prob. 73SCh. 2.4 - Prob. 74SCh. 2.4 - Prob. 1ACYPCh. 2.4 - Prob. 1BCYPCh. 2.4 - Prob. 1CCYPCh. 2.4 - Prob. 1DCYPCh. 2.4 - Prob. 2ACYPCh. 2.4 - Prob. 2BCYPCh. 2.4 - Prob. 1CYUCh. 2.4 - Prob. 2CYUCh. 2.5 - Prob. 43PPSCh. 2.5 - Prob. 44PPSCh. 2.5 - Prob. 45PPSCh. 2.5 - Prob. 52PPSCh. 2.5 - Prob. 53PPSCh. 2.5 - Prob. 54PPSCh. 2.5 - Prob. 55PPSCh. 2.5 - Prob. 64HPCh. 2.5 - Prob. 68STPCh. 2.5 - Prob. 56HPCh. 2.5 - Prob. 59HPCh. 2.5 - Prob. 10CYUCh. 2.5 - Prob. 69SRCh. 2.5 - Prob. 70SRCh. 2.5 - Prob. 71SRCh. 2.5 - Prob. 72SCh. 2.5 - Prob. 73SCh. 2.5 - Prob. 74SCh. 2.5 - Prob. 75SCh. 2.5 - Prob. 1CYPCh. 2.5 - Prob. 2ACYPCh. 2.5 - Prob. 2BCYPCh. 2.5 - Prob. 3CYPCh. 2.5 - Prob. 4CYPCh. 2.5 - Prob. 1CYUCh. 2.5 - Prob. 2CYUCh. 2.5 - Prob. 3CYUCh. 2.5 - Prob. 4CYUCh. 2.5 - Prob. 5CYUCh. 2.5 - Prob. 6CYUCh. 2.5 - Prob. 7CYUCh. 2.5 - Prob. 8CYUCh. 2.5 - Prob. 9CYUCh. 2.5 - Prob. 11CYUCh. 2.5 - Prob. 12CYUCh. 2.5 - Prob. 13PPSCh. 2.5 - Prob. 14PPSCh. 2.5 - Prob. 15PPSCh. 2.5 - Prob. 16PPSCh. 2.5 - Prob. 17PPSCh. 2.5 - Prob. 18PPSCh. 2.5 - Prob. 19PPSCh. 2.5 - Prob. 20PPSCh. 2.5 - Prob. 21PPSCh. 2.5 - Prob. 22PPSCh. 2.5 - Prob. 23PPSCh. 2.5 - Prob. 24PPSCh. 2.5 - Prob. 25PPSCh. 2.5 - Prob. 26PPSCh. 2.5 - Prob. 27PPSCh. 2.5 - Prob. 28PPSCh. 2.5 - Prob. 29PPSCh. 2.5 - Prob. 30PPSCh. 2.5 - Prob. 31PPSCh. 2.5 - Prob. 32PPSCh. 2.5 - Prob. 33PPSCh. 2.5 - Prob. 34PPSCh. 2.5 - Prob. 35PPSCh. 2.5 - Prob. 36PPSCh. 2.5 - Prob. 37PPSCh. 2.5 - Prob. 38PPSCh. 2.5 - Prob. 39PPSCh. 2.5 - Prob. 40PPSCh. 2.5 - Prob. 41PPSCh. 2.5 - Prob. 42PPSCh. 2.5 - Prob. 46PPSCh. 2.5 - Prob. 47PPSCh. 2.5 - Prob. 48PPSCh. 2.5 - Prob. 49PPSCh. 2.5 - Prob. 50PPSCh. 2.5 - Prob. 51PPSCh. 2.5 - Prob. 57HPCh. 2.5 - Prob. 58HPCh. 2.5 - Prob. 61HPCh. 2.5 - Prob. 62HPCh. 2.5 - Prob. 63HPCh. 2.5 - Prob. 65STPCh. 2.5 - Prob. 66STPCh. 2.5 - Prob. 60HPCh. 2.5 - Prob. 67STPCh. 2.6 - Prob. 1ACYPCh. 2.6 - Prob. 1BCYPCh. 2.6 - Prob. 2ACYPCh. 2.6 - Prob. 2BCYPCh. 2.6 - Prob. 3ACYPCh. 2.6 - Prob. 3BCYPCh. 2.6 - Prob. 4CYPCh. 2.6 - Prob. 5CYPCh. 2.6 - Prob. 1CYUCh. 2.6 - Prob. 2CYUCh. 2.6 - Prob. 3CYUCh. 2.6 - Prob. 4CYUCh. 2.6 - Prob. 5CYUCh. 2.6 - Prob. 6CYUCh. 2.6 - Prob. 7CYUCh. 2.6 - Prob. 8CYUCh. 2.6 - Prob. 9PPSCh. 2.6 - Prob. 10PPSCh. 2.6 - Prob. 11PPSCh. 2.6 - Prob. 12PPSCh. 2.6 - Prob. 13PPSCh. 2.6 - Prob. 14PPSCh. 2.6 - Prob. 15PPSCh. 2.6 - Prob. 16PPSCh. 2.6 - Prob. 17PPSCh. 2.6 - Prob. 18PPSCh. 2.6 - Prob. 19PPSCh. 2.6 - Prob. 20PPSCh. 2.6 - Prob. 21PPSCh. 2.6 - Prob. 22PPSCh. 2.6 - Prob. 23PPSCh. 2.6 - Prob. 24PPSCh. 2.6 - Prob. 25PPSCh. 2.6 - Prob. 26PPSCh. 2.6 - Prob. 27PPSCh. 2.6 - Prob. 28PPSCh. 2.6 - Prob. 29PPSCh. 2.6 - Prob. 30PPSCh. 2.6 - Prob. 31PPSCh. 2.6 - Prob. 32PPSCh. 2.6 - Prob. 33PPSCh. 2.6 - Prob. 34PPSCh. 2.6 - Prob. 35PPSCh. 2.6 - Prob. 36PPSCh. 2.6 - Prob. 37PPSCh. 2.6 - Prob. 38PPSCh. 2.6 - Prob. 39PPSCh. 2.6 - Prob. 40PPSCh. 2.6 - Prob. 41PPSCh. 2.6 - Prob. 42PPSCh. 2.6 - Prob. 43PPSCh. 2.6 - Prob. 44PPSCh. 2.6 - Prob. 45PPSCh. 2.6 - Prob. 46HPCh. 2.6 - Prob. 47HPCh. 2.6 - Prob. 48HPCh. 2.6 - Prob. 49HPCh. 2.6 - Prob. 50HPCh. 2.6 - Prob. 51STPCh. 2.6 - Prob. 52STPCh. 2.6 - Prob. 53STPCh. 2.6 - Prob. 54STPCh. 2.6 - Prob. 55SRCh. 2.6 - Prob. 56SRCh. 2.6 - Prob. 57SRCh. 2.6 - Prob. 58SRCh. 2.6 - Prob. 59SRCh. 2.6 - Prob. 60SRCh. 2.6 - Prob. 61SRCh. 2.6 - Prob. 62SRCh. 2.6 - Prob. 63SRCh. 2.6 - Prob. 64SRCh. 2.6 - Prob. 65SRCh. 2.6 - Prob. 66SRCh. 2.6 - Prob. 67SCh. 2.6 - Prob. 68SCh. 2.6 - Prob. 69SCh. 2.6 - Prob. 70SCh. 2.7 - Prob. 45HPCh. 2.7 - Prob. 46HPCh. 2.7 - Prob. 39PPSCh. 2.7 - Prob. 48HPCh. 2.7 - Prob. 55SRCh. 2.7 - Prob. 56SRCh. 2.7 - Prob. 57SRCh. 2.7 - Prob. 58SRCh. 2.7 - Prob. 59SRCh. 2.7 - Prob. 60SRCh. 2.7 - Prob. 61SRCh. 2.7 - Prob. 62SRCh. 2.7 - Prob. 63SRCh. 2.7 - Prob. 64SRCh. 2.7 - Prob. 65SRCh. 2.7 - Prob. 68SCh. 2.7 - Prob. 69SCh. 2.7 - Prob. 70SCh. 2.7 - Prob. 71SCh. 2.7 - Prob. 72SCh. 2.7 - Prob. 73SCh. 2.7 - Prob. 1ACYPCh. 2.7 - Prob. 1BCYPCh. 2.7 - Prob. 1CCYPCh. 2.7 - Prob. 1DCYPCh. 2.7 - Prob. 2CYPCh. 2.7 - Prob. 3CYPCh. 2.7 - Prob. 4CYPCh. 2.7 - Prob. 1CYUCh. 2.7 - Prob. 2CYUCh. 2.7 - Prob. 3CYUCh. 2.7 - Prob. 4CYUCh. 2.7 - Prob. 5CYUCh. 2.7 - Prob. 6CYUCh. 2.7 - Prob. 7CYUCh. 2.7 - Prob. 8CYUCh. 2.7 - Prob. 9CYUCh. 2.7 - Prob. 10CYUCh. 2.7 - Prob. 11CYUCh. 2.7 - Prob. 12CYUCh. 2.7 - Prob. 13CYUCh. 2.7 - Prob. 14PPSCh. 2.7 - Prob. 15PPSCh. 2.7 - Prob. 16PPSCh. 2.7 - Prob. 17PPSCh. 2.7 - Prob. 18PPSCh. 2.7 - Prob. 19PPSCh. 2.7 - Prob. 20PPSCh. 2.7 - Prob. 21PPSCh. 2.7 - Prob. 22PPSCh. 2.7 - Prob. 23PPSCh. 2.7 - Prob. 24PPSCh. 2.7 - Prob. 25PPSCh. 2.7 - Prob. 26PPSCh. 2.7 - Prob. 27PPSCh. 2.7 - Prob. 28PPSCh. 2.7 - Prob. 29PPSCh. 2.7 - Prob. 30PPSCh. 2.7 - Prob. 31PPSCh. 2.7 - Prob. 32PPSCh. 2.7 - Prob. 33PPSCh. 2.7 - Prob. 34PPSCh. 2.7 - Prob. 35PPSCh. 2.7 - Prob. 36PPSCh. 2.7 - Prob. 37PPSCh. 2.7 - Prob. 38PPSCh. 2.7 - Prob. 41PPSCh. 2.7 - Prob. 42PPSCh. 2.7 - Prob. 47HPCh. 2.7 - Prob. 49HPCh. 2.7 - Prob. 50STPCh. 2.7 - Prob. 51STPCh. 2.7 - Prob. 52STPCh. 2.7 - Prob. 54SRCh. 2.7 - Prob. 40PPSCh. 2.7 - Prob. 43PPSCh. 2.7 - Prob. 44PPSCh. 2.7 - Prob. 53STPCh. 2.7 - Prob. 66SRCh. 2.7 - Prob. 67SRCh. 2.8 - Prob. 18PPSCh. 2.8 - Prob. 24PPSCh. 2.8 - Prob. 25PPSCh. 2.8 - Prob. 26PPSCh. 2.8 - Prob. 27PPSCh. 2.8 - Prob. 3CYPCh. 2.8 - Prob. 4CYPCh. 2.8 - Prob. 5CYUCh. 2.8 - Prob. 6CYUCh. 2.8 - Prob. 7CYUCh. 2.8 - Prob. 16PPSCh. 2.8 - Prob. 29PPSCh. 2.8 - Prob. 30PPSCh. 2.8 - Prob. 31PPSCh. 2.8 - Prob. 32PPSCh. 2.8 - Prob. 33PPSCh. 2.8 - Prob. 36HPCh. 2.8 - Prob. 37HPCh. 2.8 - Prob. 38HPCh. 2.8 - Prob. 45SRCh. 2.8 - Prob. 46SRCh. 2.8 - Prob. 47SRCh. 2.8 - Prob. 48SRCh. 2.8 - Prob. 49SRCh. 2.8 - Prob. 50SRCh. 2.8 - Prob. 51SRCh. 2.8 - Prob. 52SRCh. 2.8 - Prob. 53SRCh. 2.8 - Prob. 56SCh. 2.8 - Prob. 57SCh. 2.8 - Prob. 58SCh. 2.8 - Prob. 59SCh. 2.8 - Prob. 60SCh. 2.8 - Prob. 61SCh. 2.8 - Prob. 1ACYPCh. 2.8 - Prob. 1BCYPCh. 2.8 - Prob. 1CCYPCh. 2.8 - Prob. 1DCYPCh. 2.8 - Prob. 2ACYPCh. 2.8 - Prob. 2BCYPCh. 2.8 - Prob. 1CYUCh. 2.8 - Prob. 2CYUCh. 2.8 - Prob. 3CYUCh. 2.8 - Prob. 4CYUCh. 2.8 - Prob. 8PPSCh. 2.8 - Prob. 9PPSCh. 2.8 - Prob. 10PPSCh. 2.8 - Prob. 11PPSCh. 2.8 - Prob. 12PPSCh. 2.8 - Prob. 13PPSCh. 2.8 - Prob. 14PPSCh. 2.8 - Prob. 15PPSCh. 2.8 - Prob. 20PPSCh. 2.8 - Prob. 21PPSCh. 2.8 - Prob. 22PPSCh. 2.8 - Prob. 23PPSCh. 2.8 - Prob. 17PPSCh. 2.8 - Prob. 19PPSCh. 2.8 - Prob. 28PPSCh. 2.8 - Prob. 34PPSCh. 2.8 - Prob. 35HPCh. 2.8 - Prob. 39HPCh. 2.8 - Prob. 40HPCh. 2.8 - Prob. 41STPCh. 2.8 - Prob. 42STPCh. 2.8 - Prob. 43STPCh. 2.8 - Prob. 44STPCh. 2.8 - Prob. 54SRCh. 2.8 - Prob. 55SRCh. 2.9 - Prob. 3CYPCh. 2.9 - Prob. 4CYPCh. 2.9 - Prob. 1CYUCh. 2.9 - Prob. 2CYUCh. 2.9 - Prob. 3CYUCh. 2.9 - Prob. 4CYUCh. 2.9 - Prob. 5CYUCh. 2.9 - Prob. 27STPCh. 2.9 - Prob. 28STPCh. 2.9 - Prob. 29STPCh. 2.9 - Prob. 31SRCh. 2.9 - Prob. 32SRCh. 2.9 - Prob. 33SRCh. 2.9 - Prob. 35SRCh. 2.9 - Prob. 36SRCh. 2.9 - Prob. 37SRCh. 2.9 - Prob. 42SCh. 2.9 - Prob. 43SCh. 2.9 - Prob. 44SCh. 2.9 - Prob. 45SCh. 2.9 - Prob. 46SCh. 2.9 - Prob. 47SCh. 2.9 - Prob. 1CYPCh. 2.9 - Prob. 2CYPCh. 2.9 - Prob. 6PPSCh. 2.9 - Prob. 7PPSCh. 2.9 - Prob. 8PPSCh. 2.9 - Prob. 9PPSCh. 2.9 - Prob. 10PPSCh. 2.9 - Prob. 11PPSCh. 2.9 - Prob. 12PPSCh. 2.9 - Prob. 13PPSCh. 2.9 - Prob. 14PPSCh. 2.9 - Prob. 15PPSCh. 2.9 - Prob. 16PPSCh. 2.9 - Prob. 17PPSCh. 2.9 - Prob. 18PPSCh. 2.9 - Prob. 19PPSCh. 2.9 - Prob. 20PPSCh. 2.9 - Prob. 21PPSCh. 2.9 - Prob. 22HPCh. 2.9 - Prob. 23HPCh. 2.9 - Prob. 24HPCh. 2.9 - Prob. 25HPCh. 2.9 - Prob. 26HPCh. 2.9 - Prob. 30STPCh. 2.9 - Prob. 34SRCh. 2.9 - Prob. 38SRCh. 2.9 - Prob. 39SRCh. 2.9 - Prob. 40SRCh. 2.9 - Prob. 41SRCh. 2 - Prob. 1QCCh. 2 - Prob. 23PTCh. 2 - Prob. 15STPCh. 2 - Prob. 8MCQCh. 2 - Prob. 9MCQCh. 2 - Prob. 10MCQCh. 2 - Prob. 11MCQCh. 2 - Prob. 12MCQCh. 2 - Prob. 14MCQCh. 2 - Prob. 15MCQCh. 2 - Prob. 16MCQCh. 2 - Prob. 17MCQCh. 2 - Prob. 18MCQCh. 2 - Prob. 19MCQCh. 2 - Prob. 20MCQCh. 2 - Prob. 22MCQCh. 2 - Prob. 23MCQCh. 2 - Prob. 24MCQCh. 2 - Prob. 1SGRCh. 2 - Prob. 2SGRCh. 2 - Prob. 3SGRCh. 2 - Prob. 4SGRCh. 2 - Prob. 5SGRCh. 2 - Prob. 6SGRCh. 2 - Prob. 7SGRCh. 2 - Prob. 8SGRCh. 2 - Prob. 1MCQCh. 2 - Prob. 2MCQCh. 2 - Prob. 3MCQCh. 2 - Prob. 5MCQCh. 2 - Prob. 6MCQCh. 2 - Prob. 7MCQCh. 2 - Prob. 9SGRCh. 2 - Prob. 10SGRCh. 2 - Prob. 11SGRCh. 2 - Prob. 12SGRCh. 2 - Prob. 13SGRCh. 2 - Prob. 14SGRCh. 2 - Prob. 15SGRCh. 2 - Prob. 16SGRCh. 2 - Prob. 17SGRCh. 2 - Prob. 18SGRCh. 2 - Prob. 19SGRCh. 2 - Prob. 20SGRCh. 2 - Prob. 21SGRCh. 2 - Prob. 22SGRCh. 2 - Prob. 23SGRCh. 2 - Prob. 24SGRCh. 2 - Prob. 25SGRCh. 2 - Prob. 26SGRCh. 2 - Prob. 27SGRCh. 2 - Prob. 28SGRCh. 2 - Prob. 29SGRCh. 2 - Prob. 30SGRCh. 2 - Prob. 31SGRCh. 2 - Prob. 32SGRCh. 2 - Prob. 33SGRCh. 2 - Prob. 34SGRCh. 2 - Prob. 35SGRCh. 2 - Prob. 36SGRCh. 2 - Prob. 37SGRCh. 2 - Prob. 38SGRCh. 2 - Prob. 39SGRCh. 2 - Prob. 40SGRCh. 2 - Prob. 41SGRCh. 2 - Prob. 42SGRCh. 2 - Prob. 43SGRCh. 2 - Prob. 44SGRCh. 2 - Prob. 45SGRCh. 2 - Prob. 46SGRCh. 2 - Prob. 47SGRCh. 2 - Prob. 48SGRCh. 2 - Prob. 49SGRCh. 2 - Prob. 50SGRCh. 2 - Prob. 51SGRCh. 2 - Prob. 52SGRCh. 2 - Prob. 53SGRCh. 2 - Prob. 54SGRCh. 2 - Prob. 55SGRCh. 2 - Prob. 56SGRCh. 2 - Prob. 57SGRCh. 2 - Prob. 58SGRCh. 2 - Prob. 59SGRCh. 2 - Prob. 60SGRCh. 2 - Prob. 61SGRCh. 2 - Prob. 62SGRCh. 2 - Prob. 63SGRCh. 2 - Prob. 64SGRCh. 2 - Prob. 65SGRCh. 2 - Prob. 66SGRCh. 2 - Prob. 67SGRCh. 2 - Prob. 68SGRCh. 2 - Prob. 69SGRCh. 2 - Prob. 70SGRCh. 2 - Prob. 71SGRCh. 2 - Prob. 72SGRCh. 2 - Prob. 73SGRCh. 2 - Prob. 74SGRCh. 2 - Prob. 75SGRCh. 2 - Prob. 76SGRCh. 2 - Prob. 77SGRCh. 2 - Prob. 78SGRCh. 2 - Prob. 79SGRCh. 2 - Prob. 80SGRCh. 2 - Prob. 1PTCh. 2 - Prob. 2PTCh. 2 - Prob. 3PTCh. 2 - Prob. 4PTCh. 2 - Prob. 5PTCh. 2 - Prob. 6PTCh. 2 - Prob. 7PTCh. 2 - Prob. 8PTCh. 2 - Prob. 9PTCh. 2 - Prob. 10PTCh. 2 - Prob. 11PTCh. 2 - Prob. 12PTCh. 2 - Prob. 13PTCh. 2 - Prob. 14PTCh. 2 - Prob. 15PTCh. 2 - Prob. 16PTCh. 2 - Prob. 17PTCh. 2 - Prob. 18PTCh. 2 - Prob. 19PTCh. 2 - Prob. 20PTCh. 2 - Prob. 21PTCh. 2 - Prob. 22PTCh. 2 - Prob. 24PTCh. 2 - Prob. 25PTCh. 2 - Prob. 1STPCh. 2 - Prob. 2STPCh. 2 - Prob. 3STPCh. 2 - Prob. 4STPCh. 2 - Prob. 5STPCh. 2 - Prob. 6STPCh. 2 - Prob. 7STPCh. 2 - Prob. 8STPCh. 2 - Prob. 9STPCh. 2 - Prob. 10STPCh. 2 - Prob. 11STPCh. 2 - Prob. 12STPCh. 2 - Prob. 13STPCh. 2 - Prob. 14STPCh. 2 - Prob. 2QCCh. 2 - Prob. 3QCCh. 2 - Prob. 4QCCh. 2 - Prob. 5QCCh. 2 - Prob. 6QCCh. 2 - Prob. 7QCCh. 2 - Prob. 8QCCh. 2 - Prob. 9QCCh. 2 - Prob. 10QCCh. 2 - Prob. 11QCCh. 2 - Prob. 12QCCh. 2 - Prob. 13QCCh. 2 - Prob. 14QCCh. 2 - Prob. 15QCCh. 2 - Prob. 4MCQCh. 2 - Prob. 13MCQCh. 2 - Prob. 21MCQCh. 2 - Prob. 25MCQ

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