By changing to polar coordinates, evaluate the integral J₁ (² (x² + y²)9/2dA where D is the disk x² + y² ≤ 25. The value is

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A: Given: To Find: To find .

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Q: Find the sum of the series, S. 4+18 n! S= Σ(1)" My waf

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A: From the given graph,time period =   time taken to complete one oscillation = 4 unit

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Q: (d) J

A: d) the given integration is "as per the rules, we are supposed to answer the first question and rest…

Q: For f(x) graphed below, for what values of x is the function continuous? -3 N -1 4 3 2 0 4 -2 -3 4 0…

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Q: Calculus 3: Given the Space curve r(t) = (cos(t), sin(2t), Sin (1.5 t)): а.) a.) determine the end…

A: As per guidelines we can solve only first 3 sub partsif multiple sub parts are posted. Please repost…

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Q: 9. Suppose two graphs G and H have the same vertex set V. (a) Provide an example where deg, (v) =…

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Q: Q17 Please find P(X) which is a polynomial so that the following equation below in yellow solves the…

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Q: After a proper substitution, the integral becomes S of os,

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Q: Use a power series to approximate the definite integral, I, to six decimal places. I = Jo 0.3 1 + x…

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Q: Apply Green's Theorem to evaluate the integral. ф (бу- C (5y + x)dx + (y + 7x)dy C: The circle…

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Q: f(x): Find the function f(x) described by the given initial value problem. f'(x) = 8², f(2) = −4

A: To find the function  described by the initial value problem.,

Q: the present value of the amo continuously. in the future and invested at interest rate R-3%, comp

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Q: Find the limit. lim (t i − 7 j + t² k) 1-9 lim (1 i − 7 j+t² k) = i+ i j+ i k

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Q: 83. A feeding trough for cattle is made from a metal sheet 3 ft wide. The sides of the trough are…

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Q: Solve the system(calculus) [x, y, z] = [7, 2, -6] + s[2, 1, -3] [x, y, z] = [3, 9, 13] + t[1, 5, 5]

A: Given system is [x, y, z] = [7, 2, -6] + s[2, 1, -3][x, y, z] = [3, 9, 13] + t[1, 5, 5]

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Q: Solve the differential equation: dy x² ex dx y² √y³ +1 =

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Q: QUESTION 13 Graph the rational function. x²-16 x + 2 f(x) = ←+++ -10 -8 -64-2 O do -10 4 6 8 10x

A: Consider the rational function f(x)=(x2−16)/(x+2)

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Q: Find the average of the function over the given interval. f(x) = x3 − x over [0, 1]

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Q: Identify and express the function from the graph given either as a sine or cosine function. 6 5 4.…

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