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Q: Show that the function f(x) = e¯*/2 has inflection points x = f1. at

A: We have the given function as fx=e-x22              ⋯⋯1 As we know that, a point of inflection of…

Q: snip

A: If f(x)=ax, Then to show that, f(αx)=f(x)α

Q: Consider the following. f(x) = 2x/ 16 – x², [-4, 4]

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Q: x+3 4) Evaluate f dx x+1

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Q: If  f′(x) < 0 for 1 <x< 6, then f is decrescent over(1,6) True or false and why

A: If  f′(x) &lt; 0 for 1 &lt;x&lt; 6, then f is decrescent over (1,6) True or false and why

Q: Identify which of the following statements are true. f(x) 7 7 (b) f'(x) True False f(x) 0 for x 7…

A: Given informationFunction f(x) with respect to x, and peak value of function at point 7 in given…

Q: Differentiate

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Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: IfY C X, show that inf (X) < inf (Y)

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Q: (-x if x < -2 4. Let f(x)=x² if-2<x<2 Compute the following function values: (0 if x ≥ 2 a) f(-3) b)…

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Q: f(x) = x+ 4/x

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Q: Let f(x)=V2x/x. Then f"(1)= Select one: 3 16 3 8/2 - 36 7 21 O None of the above

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Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: The function x2 f(x) = 1 - x is decreasing on (0, 1). Select one: O True O False

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Q: '(x) = ( 13 + x1, (x-1)², x x

A: T(x)=|3+x|x&lt;-1(x-1)2x≥-1

Q: 3x+1 Evaluate f'(-1) given that f(x) = %3D 2x+1

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Q: 3 Let f(x)= x³ - 2x+: Calculate by definition f'(1). X

A: given function to find the derivative

Q: e +1 Differentiate the function f(x)= In 5x +1 Se+1 3ex+1 Sesz e3x +1 ,5x +1 e 3e3z Sesz e3x +1 5x…

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Q: Integrate the following function f(x)= 6x- + 2x – 5 dr

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Q: Find f. f "(x) x2, x > 0, f(1) 0, f(9) 0 =

A: Given,

Q: Let f be the function given by f(x) = 4x³ - 5x² + 6x + 7. What is the value of f'(-1)? 28 O 12 CO

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Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: The interval in which the function is decreasing is at x2 бх + 1 2 x3 y = 3

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Q: 22. Find f/(x) and simplify 1 -1 a) f(z) 3-52+1 3 b) f(x) 1.8Vc) f(x) = 32

A: Given, functions

Q: Let f(x) ƒ'(x) = ƒ'(3) = = √2x² + 4x + 3

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Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the…

A: The function given to us is as follows: fx=x+1x2+1 at  x=0, 3 We are asked to find the integral of…