B In Problems 17-26, evaluate each iterated integral. (See the indicated problem for the evaluation of the inner integral.) 21. ∫ 1 5 ∫ 0 2 x y + x 2 d x d y (See Problem 11.) 11. (A) ∫ x y + x 2 d x (B) ∫ 0 2 x y + x 2 d x
B In Problems 17-26, evaluate each iterated integral. (See the indicated problem for the evaluation of the inner integral.) 21. ∫ 1 5 ∫ 0 2 x y + x 2 d x d y (See Problem 11.) 11. (A) ∫ x y + x 2 d x (B) ∫ 0 2 x y + x 2 d x
Solution Summary: The author calculates the iterated integral with respect to x.
BIn Problems 17-26, evaluate each iterated integral. (See the indicated problem for the evaluation of the inner integral.)
21.
∫
1
5
∫
0
2
x
y
+
x
2
d
x
d
y
(See Problem 11.)
11. (A)
∫
x
y
+
x
2
d
x
(B)
∫
0
2
x
y
+
x
2
d
x
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
A population of muffles (a feathery species unrelated to tribbles) begins with 30 animals and has 100
animals after 36 hours.
A population of muffles (a feathery species unrelated to tribbles) begins with 30 animals and has 100
animals after 36 hours.
1. Find a formula describing the growth of the muffle population (4 points). Round any decimals to
five decimal places.
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