3. Find the partial derivative (0,1) (0,0) əz Ox for the given equation (2,1) (2,0) x²y+ · cos(ry) = 100. 4. Evaluate the line integral of the following gradient vector field over defined by y = r³ for 1 ≤ x ≤ 4. Vf = (4x³y², 2x¹y) 5. Write an equation of a line that is parallel to vector (1,2, 1) and pas point (-3, 7, 20). 6. Set up and evaluate the triple integral of f(2, y, z) = x + y over the reg x = 0, y = 0, z = 0, y = 4, and z=4- x². The region and its 2D slic below.

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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3. Please
3. Find the partial derivative
(0,1)
(0,0)
Search
Ox
for the given equation
(2,1)
(2,0)
x²y+
cos(ry) = 100.
4. Evaluate the line integral of the following gradient vector field over
defined by y = r³ for 1 ≤ x ≤ 4.
Vƒ = (4x³y², 2x¹y)
5. Write an equation of a line that is parallel to vector (1, 2, 1) and pas
point (-3, 7, 20).
6. Set up and evaluate the triple integral of f(x, y, z) = x+y over the reg
x = 0, y = 0, z = 0, y = 4, and z=4-2². The region and its 2D
below.
slic
8
Transcribed Image Text:3. Find the partial derivative (0,1) (0,0) Search Ox for the given equation (2,1) (2,0) x²y+ cos(ry) = 100. 4. Evaluate the line integral of the following gradient vector field over defined by y = r³ for 1 ≤ x ≤ 4. Vƒ = (4x³y², 2x¹y) 5. Write an equation of a line that is parallel to vector (1, 2, 1) and pas point (-3, 7, 20). 6. Set up and evaluate the triple integral of f(x, y, z) = x+y over the reg x = 0, y = 0, z = 0, y = 4, and z=4-2². The region and its 2D below. slic 8
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