Find the value of d2y/dx2 at the point defined by the given value of t. x-9 sin t. y - 9 cost, t = ³r

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Q: 10

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A: Given data differential equation  ye-xdydx=x

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Q: Solve the following differential equations d²y d+2 +3. a) b) dy -54y= 0, y(0)=7,y'(0) = -2 dy -2x 2x…

A: The differential equation given is  a) d²y/dx²+3(dy/dx)-54y=0  y(0)=7, y'(0)=-2  "As per the rules,…

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Q: Use the method of partial decomposition to perform the required integration. S 148 dz 2²46

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Q: 1. convergent (a) Determine whether each integral is convergent or divergent. Evaluate those are (b)…

A: ∫0∞e5-2xdx

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A: Explanation:-

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A: Use the Ratio test

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A: Given integral  ∫0e0ln( 2x )dxAs we know that e0 = 1∫01ln( 2x )dx

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Q: Find ve, where ||v|| = 11, e is a unit vector, and the angle between e and vis (Use symbolic…

A: v=11 ,e is unit vector and angle between e and v is 2π3

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Q: Evaluate the integral See ex -2 dx Note: Use an upper-case "C" for the constant of integration.

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Q: What type of polar curve is the polar equation r = 3 - 3 sin (0)? rose O lemniscate limacon cardiod

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Q: For the sequence an = its first term is -18 its second term is its third term is its fourth term is…

A: an = (-1)n18/n2

Q: Find following definite integrals: x² 1+r (1) L'a (3) ₁ (x³ arccos x + xe do Jdx (4) (2) # √ ²…

A: Note :  Since you have posted a question with multiple subparts, we will provide the solution only…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: . Use a table to find the Taylor Polynomial P;(x) for f(x) = cos(x) with center c = π. A. P(x)= B.…

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Q: h(x): x² - 7x + 10 x-5 a x 5 x=5 8. Let for some constant a. If h is continuous for all real…

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Q: Solve the following differential equations dr² dy +7x16y=0, y(1)=3,y(1)=1

A: NOTE: Refresh your page if you can't see any equations. . The given DE is, compare this equation…

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Q: Suppose that lim an = 5 and lim bn = 9. n-0 n→∞ Determine the limits. lim (an + bn) = n→∞o lim a =…

A: We are given that limn→∞an=5 and limn→∞bn=9.We need to find the given limits.

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A: y=3x4

Q: olve the problem. Suppose that g is continuous and that g(x) dx. A) 6 B) 26 -26 g(x) dx-10 and Lås…

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Q: Let Find e such that lim f(t) exists. t 2 The cis f(t) = 4 1 2t t + c for t 2

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