51 4 50 46 45 7 44 O Ax) = 60.73(0.95)* O fx) = 0.93(60.73)* %3D f(x) = 60.04 – 8.25 In x O Ax) = 8.25 – 60.04 In x 3. 6

Q: Question 14 4. If f (x)= ,then f '(x) equals (1+3x)5 60 A (1+3x) 25 60 (1+3x) 10 - 60 (1+3x) 10 - 60…

A:

Q: tx' 3 - - (³ 4) X X = C1 (1) +02 10 + ()

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Q: 3. Which of the following exponential functions is NOT increasing on the entire real line? a. fAx) =…

A:

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A: We have given that,  X is a random variable having,  We will find the MLE of Theta= ?

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A: The variable X is defined as the number of accidents. There is an average of four accidents per…

Q: Show that Ф (X) %3 Ф»(Х" ). fг e erime e prime

A: We solve this question using a well known inversion formula for cyclotomic polyomials. The solution…

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A:

Q: If f (x) = x + 1, and g(x) = 2x, then f (g(x)) = [ ? ]x +[ ] %3D Enter

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Q: Let f(z) = (3z + 8) %3D 6. f'(z) = (3x 8)4 6. f'(3) = (3x 8)4

A: See the details solution in below

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A: By using differentiation formula and change of basis formula, we calculate the derivative of given…

Q: 7) Find f(x) if f(x) = (103x + 2)2. a) 6 In 10 10x + 4 b) 6. 106x 105x + 3 c) (6x + ○ 4) 4) 106x d)…

A: Topic:- application of derivatives

Q: '5 Find | f(x) dx if 3 if x < 3 f(x) %3D if x 2 3.

A:

Q: ax? If f(x) = if x > 1 then the bæ + 2 if a<1 values of a and b such that f is differentiable on…

A: For function to be continuous

Q: Evaluate V7 by using linear approximation of f(x) = V about the value I = 8.

A:

Q: Suppose that Var(X) = 934.93, Var(Y) = 11297.02, and Cov(X,Y) = 2912.35. What is Var(.87X + .13Y)?

A: The given .The aim is to find the .The formula used .

Q: Suppose that f'(x) = e* + x and f(0)=3. Find f(x). O f1x) = e* + x² 1 O f(x) = e* + 2 %3D 1 f(x) =…

A: The given function is: f'(x) = ex+x Integrate both the sides:  ∫f'(x) dx = ∫(ex+x) dx Since…

Q: If 11 +3f(x) + 8x²(f(x))' = 0 and f(1) = -1, find f' (1). f'(1) =

A:

Q: If an initial amount Ao of money is invested at interest rate i compounded n times a year, the value…

A:

Q: Let 4 f(x) = (a + 4x + 4)* f'(x) = f'(5) =

A:

Q: If f(x) = (3x + 2)3, %3D then f' (1) = %3D

A: Consider the given function, fx=3x+23 now, differentiate the function with respect to x using chain…

Q: If integral subscript 2 superscript 3 f(x)dx=4 and integral subscript 3 superscript 5 f(x)dx=7, then…

A: A detailed solution is given below.

Q: Compute the following (a) det(ABA-1). (b) det(A-B'A²). (c) det(A²B). Tf dot( Jot( D)

A:

Q: d dx f(x) = ex, f(0) = 8.

A:

Q: If f'(x) > 3 for all a and f(2) = 5, what can you conclude about f(4)? %3D f(4) > 6 f(4) > 8 C f(4)…

A: Let's find.

Q: 1. y = 4* y = 1. • 3* %3D 3. f(x) = 3*+ 1

A:

Q: | (2/x-1)? dx= 4/x-ln x'+x+c. 1. 4/x+ln x*+x+c. 3. (-4)/x-ln xª+x+c (-4)/x-ln x+x+c.

A: Given: I=∫2x-12dx for evaluating given integral, first we expand given expression so, I=∫2x-12dx…

Q: 1 If f(6) = 26 and f is one-to-one, what is f'(26)? r(26) = O

A: Given  f(6) = 26  Find f-1(26) , if f is one one function.

Q: If f(4) = 5 and f'(x) 2 2 for 4 s xS 9, how small can f(9) possibly be? %3D

A: Mean Value Theorem   Let f(x) be a function that satisfies the following hypotheses: a) f(x) is…

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A: We have to solve given problem:

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A:

Q: Suppose that Var(X) = 879.05, Var(Y) = 8681.72, and Cov(X,Y) = 2281.58. What is Var(.08X + .92Y)?

A: The objective of the question is to find the variance of the linear combination of two random…

Q: Let f f(x) dx = -3, f¹ f(x)dx = -4 and g(x)dx = 6 and ¹ g(x)dx = 2. Then evaluate * (7 f(x) — 28(x)…

A:

Q: 1- f, 2x e dx

A: integration is given below