Q2. Evaluate the iterated integral by changing the order to dx dy. eu dy dx

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q1.
Use Stokes' Theorem to calculate
F.dr for vector field F(x, y, z) = y² i+z²j+x²k along
the (positively-oriented) boundary of the plane in the first octant with intercepts (1,0,0),
(0, 1, 0), and (0,0, 3).
Q2.
Evaluate the iterated integral by changing the order to dx dy.
ey?
dy dx
Q3.
Calculate the following indefinite integral of a vector function. Be sure to provide a suitable
domain.
(t sin t ) i +
dt
(1 – t)²
Q4.
Calculate the flux of vector field F
:(xy°, x²y) across the circle of radius 1 centered at
coordinates (0, –1).
Transcribed Image Text:Q1. Use Stokes' Theorem to calculate F.dr for vector field F(x, y, z) = y² i+z²j+x²k along the (positively-oriented) boundary of the plane in the first octant with intercepts (1,0,0), (0, 1, 0), and (0,0, 3). Q2. Evaluate the iterated integral by changing the order to dx dy. ey? dy dx Q3. Calculate the following indefinite integral of a vector function. Be sure to provide a suitable domain. (t sin t ) i + dt (1 – t)² Q4. Calculate the flux of vector field F :(xy°, x²y) across the circle of radius 1 centered at coordinates (0, –1).
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