For this problem, fill in each blank with the correct answer. a. Assume that f (0) = 2, f (1) = 0. Then, (7 f' (sin æ) cos x da = b. If f (x) is an even function, then f, x f (x) dæ = c. If f' (t) = e-2t and f (1) = 2e2 then f (0) = d. A particle moving along a straight line has velocity function v (t) = (t – 1) ". The displacement of the particle in the interval (0, 2] is m. The total distance traveled by the particle in the interval [0, 2]is m.

Q: F. Solve the following by Substitution Method. 1. y(x tanx + In y)dx + tanx dy = 0

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A: Guven, f(x,y) = 2sin(11xy) f(9, pi/72) = ?

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Q: snip

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A: It is given that f(x) is odd and

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Q: a) Compute  d/dx cot(x2  + x sin(x10 + x4 +1)) b) Suppose f(x) is a differentiable function and…

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A: Given functions are  g(x)=cos2x and f(x)=sinπ2

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A: Givenf(x)=10-acosxwhere a is constant

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Q: Evaluate and approximate f(x) dx of the functions in Table 3. ,2 4 1/(1 + x*) V1+ x² | sin(y) e

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Q: B-The result of dy/dx for the following function is COS X y 1+sin x

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Q: 1. If x = e²" and y = sin(3t), find in terms of t.

A: According to Bartleby q&a I can attempt only one question

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Q: Using an appropriate substitution, f sin (x)cos (x)dx is equal to:

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Q: Solve the following D.F using I.F Sinx dy/dx +2y=tan^3 x/2

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Q: of of For the function f(t, æ) = sin (4xt + 9a), find and da of (Type an exact answer in terms of…

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Q: If g (x) = sinx dx and =3, then g (0) is equal to A) 2 В -2 4 D

A: To find the solution.

Q: Given f(x) = 6xeª csc(x), answer the following: a) f'(x) = b) The equation of the tangent line to…

A: fx=6xexcscx a). Differentiating with respect to x, we get…

Q: = cx + In(cos x). For what value of c is f'(T/4) = 7? C =

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Q: Draw the following function (y = t * sin (t). * Sin (t) if you know that the t-values range from…

A: given function is                                                 y=t sint,    0≤t≤2π graph is

Q: 14 Consider the following two functions: 1 exp dx %3D (面) e() tan (2) %3D Explain why both of these…

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Q: Suppose z is a function of x and y, and tan Vy? +x² = ze6y. Solve for and dx ду

A: Here, given that z is a function of x and y and tan y2+x2=zxe6y⇒tan y2+x2=ex ln ze6y...(1)

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Q: Given the function y = (x³ –4 – 3x) COS x, find dy in any form.

A: Solve for dy /dx

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Q: Given f(x) = cos(2), find f' (x) in simplest form.

A: According o question given fx=cos-1x2We have to calculate the f'(x)

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Q: Consider the following function and express the relationship between a small change in x and the…

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A: Derivative Question

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Q: If ef (x) + [ f (x) + 1] = sin x andƒ(0) = 0, find f'(0).

A: