f X,Y(x,y) = 2I(0,y)(x) I(0,1)(y). Solve f

Q: Suppose that f (1) = 1, f'(2) = 5, f'(1) = 4, g(1) = 2, g'(1) = 7. Find a. (fo g)'(1) b. (9((x)))…

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Q: Verify that g'(x) 1 where g(x) = v2x – 3. %3D V2r – 3

A: Giveng(x)=2x-3.To verify g'(x)=12x-3  is the derivative of g(x).

Q: Find the partial derivative fx and fy of the given function 3x f(x, y) = -y2 :/ cos(r? – - t + 1)dt.

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Q: Find F′(x).

A: Given Data The integral function is F(x)=ꭍxx+2(4t+1)dt.   Solve the given integral function,

Q: Let r(æ) = f(g(h(x))), where h(1) = 3, g(3) = 2, h'(1) = 9, g/ (3) = –2, and f'(2) = 5. Find " (1).…

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Q: nave joint pdf give e joint CDF of X

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Q: If f(x) = xe , x >0 and (Y = ln(X)), then the PDF of Y is %3D (In(1)² (In(y))e ye

A: Answer: ⊙ ey-12e2y

Q: A. If G(2) = F(z) · H(z), then G' (3): %3D B. If G(w) = F(w)/H(w), then G' (3)

A: Given F(3)=1, F'(3)=2, H(3)=4, H'(3)=1.

Q: Suppose u and v are differentiable functions of x. Use the given values of the functions and their…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find maximum rate of change of f at the given point. f(x,y)=sin(xy), (1,0)

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Q: Let f(x,y) = cx2y, x2<=y<=1, -1<=x<=1 be the pdf of X and Y. Find the value of c that makes this a…

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Q: Suppose f(x) = "6r V1+f dt.

A: Topic = Integration

Q: If f(x,y) = ln(xy) + x2y2, in what directions is the second directional derivative of f(1,1) = 3?

A: Given function fx,y=lnxy+x2y2 Consider unit vector u⏞=12,32  Now, Du⏞f=∇f·u⏞             ∇f=fx,fy…

Q: calculate the derivative at t = 3, assuming that rị(3) = (1, 1, 0) , r2(3) = (1, 1, 0) r{ (3) =…

A: To calculate: ddt6r1(t)-4·r2(t) at t=3, where r1(3)=&lt;1,1,0&gt;,…

Q: 3 (b) * ƒ (x) da 0 =

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Q: Let f(Vx)= 2x. Then f'(2) = -6 -4 6 4 8.

A: We need to substitution method

Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: Find the function f(x), such that f(x)= In(3x) J ƒ(1)=1.

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Q: Find the maximum rate of change of f at the given point and the direction in which it occur f(x, y)…

A: Topic- Vectro

Q: Given F(x) = : (1–V1- (1+ 1)² ) dt Evaluate F(0) and F'(V2).

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Q: Choose True if the statement is correct, otherwise False. If f(x)dx is to be integrated and u =…

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Q: = f²³² € 0 Given F(x) = -t² e dt, use FTC Part II to find F'(1)

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Q: Take first and second derivatives of y = xr, y=(ax2 + bx + c)2, y=ecx, y=e-cx, y=ln(x).  In all…

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Q: Find f'(1) for f(x) = In(v6x – 3).

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Q: (3) Consider the derivative: 2xydx + (x² + 2y)dy. Evaluate whether this is a total derivative or an…

A: We will check whether the given function is total derivative or not. Consider dz = (2xy)dx + (x 2 +…

Q: 2. Evaluate f'(5) for y = v2x² – 1 hor Ju OIT

A: