Use the functions below to find the given value. f(x)=x2 g(x)=x² ¹)(-2) (9

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A: Solution is given below:

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Q: anufacture the OP(s) = -5²+105s-1,000 OP(s) = -s²+55s- 1,000 OP(s) = -s²+105s + 1,000 OP(s) = -5²…

A: topic:- calculus

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A: To solve the following problem

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Q: Given u = and V = , find 2u + 3v. O a) Ob) Oc) Od)

A: Given,  u=4,-3v=-1,2 Let's compute  2u=24,-32u=&lt;8,-6&gt; and  3v=3-1,23v=&lt;-3,6&gt;

Q: Solve the given differential equation subject to the indicated conditions. y" - 4y = x + sin x, y(0)…

A: The given differential equation is y''-4y=x+sin x, y0=5, y'0=2y

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A: We will solve.

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A: The given function fx,y=2x3-6x+6xy2

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A: Let's find equation of line.

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Q: 19. e +e=e**y

A: This is a problem related to differentiation. Please follow the procedure given below.

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A: We can answer both the question as below.

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A: Topic = Vector

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A: topic- triangle ,inverse trigonometric ratios and Pythagoras theorem

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A: Please refer to the image below

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Q: Find the Taylor polynomial 7₂ for the function 3 O3+ (x-1)+(x-1)² 54 f(x)=√8+

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A: We need to determine equation of parabola.

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A: Given dIdt+RLI=1LVt I0=0, R=130Ω, L=5H and Vt=10 V

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Q: 3 7 Given sin A 25 in Column 1 with its exact value in Column 2. Column 1 and sin B sin (A - B) tan…

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Q: dy Find - for y = du dy du = = [19+ √9 +10t2 dt. 0

A: given y=∫0u9+10t2dtTo find: dydu

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A: The objective is to convert in terms of polar equation.

Q: a. y" = xy' - x

A: This is a problem related to differential equation. Please follow the procedure given below. As per…