2. Suppose that F(4) = 2 g(4) = 5 fr(4) = 6 %3D and 9'(4) = –3 Find h(4) %3D , h(x) = f(x)g(x) %3D a. h(x) = 7f(x) – 2g(x) %3D Find all T volu

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A:

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Q: 1. find the linear approximation to /(x) at x = Xg. Use the linear approximation to estimate the…

A: Linear approximation

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Q: If f(x) = e%g(x), where g(0) = 5 and g'(0) = 4, find f '(0). %3D

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Q: Suppose f= f(x) satisfies f(1) = 7 and f(1.002) 7.008. Estimate the value of at x = 1. dt %3D

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A: To find g'(3) , first we will differentiate the given g(t) and then put t= 3 to get the required…

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Q: Let h(x) = V4+ 3f(x) with f(1) = 7 and f'(1) = 4. Find the value of h'(1).

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Q: If f(x) = e*g(x), where g(0) = 3 and g'(0) = 5, find f '(0). %3D

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Q: on f(x, y) = 3x + 9y subject to th %3D

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Q: 1. State the domain and range of {(x, y)|y = + 3}.

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Q: If f(x)dx = 5, S()dx = 2, and f(x) dx = -1, find f(x)dx а. —2 b. 2 С. —3 d. 3

A: Given ∫05f(x)dx=5,  ∫13f(x)dx=2, and ∫10f(x)dx=-1 The objective is to find ∫35f(x)dx

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A: Given: F(1)=2, F'(1)=5, F(4) = 7, F'(4) =1 and G(1)=4, G'(1)=2, G(2) =6, G'(2)=6

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Q: 4. Show that 2 s w (b) L(t sinh (wt)) (s² – w²)2 -

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Q: 25. For y = f(x) = x2 - 3, x = 5, and Ax = 0.1, find Ay and f'(x) Ax. %3D

A: Given: fx=x2-3 ,x=5 and ∆x=0.1

Q: %3D 1. Given f(x) = k(x – 3), find the value of k if f-1(5) = 2. %3D

A: Given that fx=kx-3To find :value of k if f-15=2Solution:if we find inverse of function then…

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Q: Suppose fo f(x) dr = -3 and f(r) dr = 1 find f(x) dr. Justify your answer. %3D

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Q: Find dy/dt for if : y = log2 (81'n 2)

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Q: 5- The square

A: detailed solution is given below

Q: 0. Suppose f(x) = 9x, what is f'(x)? a. 9x2 b.2x(9*)

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A: NOTE: Refresh your page if you can't see any equations. . take x=e

Q: If f(x) = e*g(x), where g(0) = 2 and g'(0) = 5, find f'(0).

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Q: If ["F(x) 1.2 f(x) dx = 7.2 and nd ["fix) dx = 5.6, find [° F(x) dx. X

A: we know that ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx, where c is betwwen a and  bgiven  ∫17f(x)dx=7.2 and…

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Q: 6. Find f '(x) for f(x) = %3D 6. f '(x) =

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Q: 3 Find G'(w) if G(w)%= +3w. %3D 4w6 G'(w) =D %3D

A: Consider the given function.