2- Let a- 0 Ꮎ f(x|0) 1 Find A = MLE(A). 1 6x(x-1) ~~ 2 2x

Q: Given the function below f(x) = 3 x³ – ²x² − 18 x + 3 a) Differentiate the functionƒ(x) = 3 x³ − 2…

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Q: 3x-4 -,x < 1 x+2 4. Given the function f (x) = . Calculate f'(1-) and f'(1+). In?x x+1

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Q: Give the value(s) of x at whichf has either a local minimum or a local maximum. Give the interval(s)…

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Q: f(-7)= f(-1) = ƒ(4) = f(8)=

A: from the graph we have seen that the graph break at x=-1 and x=4from the graph we have seen that the…

Q: Let f(x) I+5 f(x)

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Q: 6 f(x) = 7 + find f'(x). Find f'(2).

A: As we know that: The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 Given: fx=7+6x+2x2

Q: x+3x + 2 If f(x) = then f'(1) = %3D O 3 07 0 5 0 4

A: By using differentiation property, we calculate the required value.

Q: 6x3 + 5x* + 3x Suppose that f(x) = Evaluate each of the following: x3 f'(-4) = f'(1) = %3D

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

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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: + If x? = x-y then, y *+y

A: Given  x2=x+yx-y first we multiply each side by x-y x2x-y=x+yx-yx-y     by dividing  x-y from x - y…

Q: (5 points) Given that 7 < f(x) < 9 for 4 < x < 5, estimate the value of f(x)dx 14 f(x)dx < ... 4

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

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Q: 4+ (-1.9, 2.8) f(x) = x - 3x - x 5 -4 -3-2 -1 1 2 3 4 -3- -4 (a) (b) gure 3.21 (a) One section of…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: / = 20. Evaluate f (a+ 2) for f(a) 3 4x-8'

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Q: Find the intervals on which the function is increasing or decreasing where f'(x) = 4x³ – 4x.

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Q: 10 6. Evaluate -dx. (x – 1)(x² + 9)*

A: Given integral is We will evaluate the integral by using the concept of partial fraction…

Q: Given f(x) = x + 4, x < 0. Find (f-1)' (5) 10 1 2 | 29

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Q: Compute f(x)dx f(x) = { 2x if x <1 4 if x 21

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Q: *+ 3x² + 2 If f(x) = then f'(1) = 0 3 O 7

A: Differentiate wrt x

Q: If f(4) 8 and f '(x) 2 1 for 4 < x < 9, how small can f(9) possibly be?

A: Given:- If f(4) = 8 and f '(x) &gt; 1 for 4 ≤ x ≤ 9 To find:- How small can f(9) possibly be?

Q: [2, 03 b) If f(t)={ , find L{S(1)}.

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Q: 2x 5. F(x) = "(5t – 1) dt

A: Here, it is given that F(x)=∫x2x5t-1dt

Q: 3. Over which interval is the function f (x) = 1 + 2ex -3x increasing?

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Q: 24. (EXERCISE) Consider the function f(x)=3x* – 20x' + 42x² – 36x

A: The given function,   f(x)=3x4-20x3+42x2-36x

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

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