Given the function y(t) with y(0) = 1, then False True L (y² + ²) = SY(s) - 1 + y(s)

Q: Find the derivative of the function. (x) = (2x – 7)“(x²+ x + 1)5

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Q: Use the graph to а. state the absolute maximum and minimum b. local maximum and minimum values С.…

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Q: Let h(x) = 3x² + x -x² + 3x - 3 what is h' (2)?

A: We need to find out h'(2).

Q: Find f′(x) and f′(c). Function f(x) = (x − 4)/(x + 4) Value of c = 3

A: Now differentiating with respect to x, we get

Q: If f(t) = 9t+1, find f"(5). %3D

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Q: Let X1, X2, X3 and X4 be a random sample from population with pdf Sx, 0<x < 1 0, otherwise. fx (x) =…

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Q: Find f′(x) and f′(c). Function f(x) = (x2 − 4)/(x − 3) Value of c = 1

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Q: 6. If f(x)= V3x + 4 , find (7).

A: Given function is To find inverse function of f , we set y=f(x) and solve for x Therefore,

Q: 9. For each n E IN, let Xn be the set of polynomials of degree equal to n, and let Pn = U_0 Xk. True…

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Q: 8. Given the function h(x)=Vx² - 4 +Vx+2, find h(2), h(0), and h(-x).

A: h(x) is given. We have to find h(2), h(0) and h(-x)

Q: Let f(x) 1 and g(x) = 4x + 7. Then с — 3 - (f o g)(0) = (f o g)(x) =

A: Given:

Q: Compare the values of Ay and dy if f(x) = x³ + x². 2x + 1 - æ is changes from 2 to 2.05.

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Q: 1. Use forward and backward difference approximations of O(h) and a centered difference…

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Q: 1. Let f(r) and g(a) 4x + 1. 4 Then (f o g)(6) (ƒ o g)(x)

A: We have to find function

Q: If f(t) = (1 + 0.04)t, what is f(0)?

A: note that (any number)0 =1

Q: 4 Find f(x) dx if if x< 2 f(x) if x 2 2.

A: To evaluate the given integral

Q: Determine F(x) = J (x+1)dx x3+3x2+7x+5

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Q: Find f′(0), where f(x)= (x|x|)/(2+⌊x⌋)

A: Consider the given function fx=xx2+x