Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that R,(x) – 0.] x5 + 4x3 + x, a = 4 (x) Find the associated radius of convergence R. R =

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A: We have to find when the particles will collide

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A: Given problem:-

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A: Let F(x,y,z)=f1(x,y,z)i+f2(x,y,z)j+f3(x,y,z)k be a given vector function. Then curl F is given by,…

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A: We have the solution as follows:

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Q: What is the absolute maximum value of the function f(x) = x – 3x2 on the interval [-2, 3] ? a. None…

A: Given the function is f(x) = x3-3x2 on the interval -2, 3.

Q: 2. All straight lines with slope and y-intercept equal. У (x + 1) — у %3D0 ans.

A: It can be solved as follows

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A: To evaluate the given integral

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A: The solution is given below

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A: Let's find.

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Q: 12 - r), 2. Suppose f(r) = {0, if r> 2 if r = 2 |4 – 2*|, if r < 2. if r< 2. (a) Find lim f(z). +2+…

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Q: what is b? it is the same question as a, so what is the convergence of B?

A: We can solve this as follows:

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Q: 5. Given y = af(+ 1), Find when x=1 if f(2) = 4 and f'(2) = 5. dx

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Q: Find and classify all the critical points of f(x, y) = 2x - 9y - xy + x2 + 5y2 .

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A: Since you have asked multiple questions, we will solve the first question (i.e., Question-8) for…

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A: We have to find the integral.

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Q: What is the expanded formula for a family with 8 children? O a + 8ab+ 25 + 56ab + 80a b + 56a b +…

A: Consider a family with 8 children

Q: xdx z Vx – 1

A: To evaluate: I=∫210xdxx-1 Substitute x-1=u⇒x=u+1 &amp; dx=du as x→2⇒u→1 &amp; x→10⇒u→9 So,…

Q: For the function x-3 f(x) =: 2x +5 Determine coordinates of the y-intercept of the inverse function…

A: We can find the inverse function and the required answer as below.