C Evaluate each double integral in Problems 39–42. Select the order of integration carefully; each problem is easy to do one way and difficult the other. 42. ∬ R 2 x + 2 y 1 + 4 y + y 2 d A ; R = { ( x , y ) | 1 ≤ x ≤ 3 , 0 ≤ y ≤ 1 }
C Evaluate each double integral in Problems 39–42. Select the order of integration carefully; each problem is easy to do one way and difficult the other. 42. ∬ R 2 x + 2 y 1 + 4 y + y 2 d A ; R = { ( x , y ) | 1 ≤ x ≤ 3 , 0 ≤ y ≤ 1 }
Solution Summary: The author evaluates the value of the iterated integral displaystyle
CEvaluate each double integral in Problems 39–42. Select the order of integration carefully; each problem is easy to do one way and difficult the other.
42.
∬
R
2
x
+
2
y
1
+
4
y
+
y
2
d
A
;
R
=
{
(
x
,
y
)
|
1
≤
x
≤
3
,
0
≤
y
≤
1
}
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.
In Problems 1–6, use ZERO (or ROOT) to approximate the smaller of the two x-intercepts of each equation. Express the answer rounded
to two decimal places.
1. y = x? + 4x + 2
4. y = 3x? + 5x + 1
2. y = x? + 4x – 3
3. y = 2x? + 4x + 1
5. y = 2r – 3x – 1
6. y = 2x? – 4x – 1
I need help with #22, and #24. For those questions I need you to explain to me as you solve step by step and show me how to do it and the formulas you used. Thank You, for you service.
In Problems 85–90, use the Intermediate Value Theorem to show that each function has a zero in the given interval. Approximate the zerocorrect to two decimal places.
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