Evaluate the iterated integral. 8 4 b²b²x + (x + y) dy dx

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A: Solve the differential equation by separable variable

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A: answer is in next step

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: ∫0π22cos4xdx,  n=4Then ∆x=π2-04=π8The subintervals are 0,π8,π8,π4,π4,3π8,3π8,π2By midpoint…

Q: Calculate[r₁(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt the product directly and then…

A: r1=9ti+3t2j+8t3kr2=t4k

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A: Given question:- Find the point where the second derivative changes sign from negative to positive.

Q: Evaluate [(-x+y + 2)dx + (x+y-2)dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to…

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Q: Question Use the binomial series expansion, 1 for the function f(x) (1 - 2x)² If necessary, round…

A: Let's find.

Q: Evaluate the following limit using L'Hospital's rule. Provide your answer below: دی lim (4x) X18

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1 = lim t+x6t²+7'2t (?, ?)

A: Explanation of the answer is as follows

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Q: ^ du 1 1+2 Sinn

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A: Given:

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A: Given integral ∫4x+10(x-2)2(x-1)2  dx

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A: As per given question  We have to solve above question and find distance across the lake

Q: Use the method Laplace transform to solve the following. (a) 2r' + 7r=3e-t, x(0) = 4. (b) 2r' +…

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Q: Find the center of mass of a thin wire lying along the curve r(t) = 2ti + 4tj+ (x,y,z) = ( (Type…

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Q: 1 et f(x) = = . X Find the tangent line to the graph of the function at x = −1. y = 【 Find the…

A: Follow next step

Q: X-Z The iterated integral J = g(x, y, z) dy dx dz is equivalent SS 0z0 to which of the following…

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Q: IL The Hiker You are planning a 20-mile hike in the Cascades. The guidebook provides you with a…

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Q: TC=575+2Q

A: ANSWER Is in next step

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Q: Find the line integral of f(x,y) = y ex² along the curve r(t) = 4t i + 3t j, −1≤t≤2. The integral of…

A: Use derivative for finding the line integral.

Q: In the triangle below, BA=u and BF=v. Express each of the following in terms of u and v. a) CD b)…

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Q: Use the formula k(t) k(t) = ||r'(t) × r"(t)|| ||r' (t)||³ = r(t) = t²i+t³j to find k(t).

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Q: Using Variable Separable, solve x² (y + 1) dx + y² ( x − 1) dy = 0

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Q: + + Find the area of the portion of Sphere x² + y² + 2 = 9 betw= the planes Z=1 and 2 = 0. Draw

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Q: - x2 x² - 2x - 1 (x − 1)²(x² + 1) da

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A: Given: C=1021-232-11

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