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

Q: Find intervals where g(x) = 3x − x3 is increasing

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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+3 4) Evaluate f dx x+1

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Q: 4x+7 18x<2 (ii) If f(x) = , determine whether the function f(x) is continuous 4x-1 2<xs4' throughout…

A: We determine whether the function f(x) is continuous throughout its domain.

Q: Estimate f'(-12) using the data in the table. x -13 -11 -9 -7 f(x) 1.02 1.05 1.12 1.14

A: Given the tablewe have to find the value of f'(-12)

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

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

A: To find out the integration.

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

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Q: evaluate L-1 { t/(s-2)(s+3)}

A: By using partial fraction and table of Laplace transform we solve the given problem as follows :

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: First derivative of ₂ F₁(x): d a {2 F₁ (a, b; c; x)} = dx a.b с 2F₁ (a +1, b+1; c + 1; x)

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Q: L' -2s Find f s2

A: Inverse Laplace transform

Q: Find the following using the table below. X 1 2 3 4 3 4 f(x) 2 1 f'(x) 2 4 3 1 g(x) 2 4 3 1 g'(x) 2…

A: 1) given function h(x)=f(x).g(x)Derivative w.r.t 'x' by using the product ruleformula of the product…

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

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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: S dx b² +x4 - Evaluate

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Q: f(x) 1 2 2 1 3 3 4 -1 f'(x) g(x) 3 4 -3 -2 -1 1-2 3 12 |-4 -1 0 -3 g'(x)

A: According to latest Bartleby guidelines, we can answer only first three subparts, please post other…

Q: 2x 5. F(x) = "(5t – 1) dt

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

Q: (1) Let A={1,{2},{1,{2}}} (a)True or false: 2 € A, {2} € A, {{2}}CA, {1,2}CA, 3x(x € A^xA)

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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…