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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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?.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9197addf-c701-4c6c-9fe6-3e92506af804%2F2a9225c4-4fde-4245-b889-e3be4f40e97d%2Frka4kmhh_processed.jpeg&w=3840&q=75)
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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