Activity 18: Solve the following problems. Show complete solution. T/2 4cose 1. Evaluate o p³dpde. 2. Evaluate dA where R is the region between y = 2x and y = x2 lying to the left of x = 1. •1 3 3. Evaluate . Jay dxdy. 4. Evaluate , x² dA where R is the region in the first quadrant bounded by the hyperbola xy = 16 and the lines y = x, y 0, and x 8. 5. Evaluate Jo Jo 2n (1-cose 'p°cos²0 dpd0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Can you please answer the Activity 18 #3 and 4? Just for my reference. 

| Activity 18: Solve the following problems. Show complete solution.
T/2 4cos0
1. Evaluate Jo J2
p³dpd0.
2. Evaluate J, Į dA where R is the region between y = 2x and y = x2 lying to the
left of x = 1.
-1 3
3. Evaluate Jo ay
dxdy.
Зу
4. Evaluate J, Jx² dA where R is the region in the first quadrant bounded by the
hyperbola xy = 16 and the lines y = x, y = 0, and x = 8.
p³cos20 dpd0
2n (1-cose
5. Evaluate Jo Jo
Activity 19: Solve the following problems. Show complete solution.
rz=5 cy=2 cx=3
1. Evaluate S L y[cos(nz) + 2]dxdydz.
y=0 Jx=0
(z=2(x+y+1) dzdxdy
ry=3
2. Evaluate
y=-1 Jx=1-
1-/4-(y-1)² Jz=x²+y2
3. Find the volume bounded by the paraboloid z = 2x2 + y? and the cylinder
z = 4 – v?.
Transcribed Image Text:| Activity 18: Solve the following problems. Show complete solution. T/2 4cos0 1. Evaluate Jo J2 p³dpd0. 2. Evaluate J, Į dA where R is the region between y = 2x and y = x2 lying to the left of x = 1. -1 3 3. Evaluate Jo ay dxdy. Зу 4. Evaluate J, Jx² dA where R is the region in the first quadrant bounded by the hyperbola xy = 16 and the lines y = x, y = 0, and x = 8. p³cos20 dpd0 2n (1-cose 5. Evaluate Jo Jo Activity 19: Solve the following problems. Show complete solution. rz=5 cy=2 cx=3 1. Evaluate S L y[cos(nz) + 2]dxdydz. y=0 Jx=0 (z=2(x+y+1) dzdxdy ry=3 2. Evaluate y=-1 Jx=1- 1-/4-(y-1)² Jz=x²+y2 3. Find the volume bounded by the paraboloid z = 2x2 + y? and the cylinder z = 4 – v?.
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