4. Evaluate the limit of: A. 2 2 sine as 0 approaches 0. В. И с. о D. infinity 5. A trapezoidal trough is 10 ft long, 4 ft wide at the top, 2 ft wide at the bottom and 2 ft deep. If water flows in at 10 ft3/min, find how fast the surface is rising, when the water is 6 in deep. A.0.4 ft/min B. 0.5 ft/min C.0.6 ft/min D.0.7 ft/min 6. The slope of the tangent to y = 2- x at the point (1,1) is A.-2 В.-1 c.o D.-4 7. If In (In y) + in y In x, find y'. А. x+y B. I-y D C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 40E
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Assessment
(Quarter 3)
1. Evaluate the limit of as x approaches 3.
B. 3/5
x2-4x+3
A. 3/2
C. O
D. 5/2
2. Evaluate the limit of -
as x approaches infinity.
(Zr+4)
В. 4
C. infinity
D. 0
A. 2
X-2
as x approaches 2.
3. Evaluate the limit of:
A. infinity
В. 1/12
с.о
D. 2/3
4. Evaluate the limit of ine
as e approaches o.
В. К
с. о
D. infinity
A. 2
5. A trapezoidal trough is 10 ft long, 4 ft wide at the top, 2 ft wide at the bottom
and 2 ft deep. If water flows in at 10 ft3/min, find how fast the surface is rising,
when the water is 6 in deep.
A.0.4 ft/min
B. 0.5 ft/min
C.0.6 ft/min
D.0.7 ft/min
6. The slope of the tangent to y = 2-x² at the point (1,1) is
A.-2
В-1
C.O
D.-4
7. If In (In y) + in y = In x, find y'.
А.
x+y
В.
C.
D-
8. The diameter of a circle is to be measured and its area computed. If the diameter
can be measured with a maximum error of 0.001cm and the area must be accurate
to within 0.10sq.cm. Find the largest diameter for which the process can be used.
A. 64
в. 16
с. 32
D. 48
9. If y =
*(a xin bx= d cosdx)
find dy/dx.
A. es*cosbx
B. ensinbx
C. -e*cosbx
D. -emsinbx
10. If y =fsintinx)- ces(inz) find dy/dx.
A. sin(Inx)
B. cos(Inx)
C. -sin(Inx)
D. -cos(Inx)
11. If y = find y.
в.
A.
(x+1)
(r+1F
C. x +1
D. (x + 1)
47
Transcribed Image Text:Assessment (Quarter 3) 1. Evaluate the limit of as x approaches 3. B. 3/5 x2-4x+3 A. 3/2 C. O D. 5/2 2. Evaluate the limit of - as x approaches infinity. (Zr+4) В. 4 C. infinity D. 0 A. 2 X-2 as x approaches 2. 3. Evaluate the limit of: A. infinity В. 1/12 с.о D. 2/3 4. Evaluate the limit of ine as e approaches o. В. К с. о D. infinity A. 2 5. A trapezoidal trough is 10 ft long, 4 ft wide at the top, 2 ft wide at the bottom and 2 ft deep. If water flows in at 10 ft3/min, find how fast the surface is rising, when the water is 6 in deep. A.0.4 ft/min B. 0.5 ft/min C.0.6 ft/min D.0.7 ft/min 6. The slope of the tangent to y = 2-x² at the point (1,1) is A.-2 В-1 C.O D.-4 7. If In (In y) + in y = In x, find y'. А. x+y В. C. D- 8. The diameter of a circle is to be measured and its area computed. If the diameter can be measured with a maximum error of 0.001cm and the area must be accurate to within 0.10sq.cm. Find the largest diameter for which the process can be used. A. 64 в. 16 с. 32 D. 48 9. If y = *(a xin bx= d cosdx) find dy/dx. A. es*cosbx B. ensinbx C. -e*cosbx D. -emsinbx 10. If y =fsintinx)- ces(inz) find dy/dx. A. sin(Inx) B. cos(Inx) C. -sin(Inx) D. -cos(Inx) 11. If y = find y. в. A. (x+1) (r+1F C. x +1 D. (x + 1) 47
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