Let R be the region between the graphs y x³ and y = 4x in the first quadrant. Let f(x, y) be a continuous function on R. (A) Find numbers a, b and functions c(r), d(x) such that the integral of f(x, y) is rd(x) [ [²) f(x, y) dy c(x) dx . (B) Find numbers r,s and functions u(y), v(y)) such that the integral of f(x, y) is v (y) [* [0) f(x, y) dz dy . u(y)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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Let R be the region between the graphs y
x³ and
y = 4x in the first quadrant. Let f(x, y) be a continuous function on R.
(A) Find numbers a, b and functions c(r), d(x) such that the integral of
f(x, y) is
rd(x)
[ [²) f(x, y) dy
c(x)
dx .
(B) Find numbers r,s and functions u(y), v(y)) such that the integral of
f(x, y) is
v (y)
[* [0) f(x, y) dz dy .
u(y)
Transcribed Image Text:Let R be the region between the graphs y x³ and y = 4x in the first quadrant. Let f(x, y) be a continuous function on R. (A) Find numbers a, b and functions c(r), d(x) such that the integral of f(x, y) is rd(x) [ [²) f(x, y) dy c(x) dx . (B) Find numbers r,s and functions u(y), v(y)) such that the integral of f(x, y) is v (y) [* [0) f(x, y) dz dy . u(y)
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,