Ax) Consider the functions = 3* g(x) : %3D and x*. Determine

Q: Find the function f (x) for which f (x) = e-5x, f (0) = 1.

A: A function is a relation which maps each value in its domain to exactly one value in its range. For…

Q: 2. If f(x) = e*+ °, what is f"(x) ? x'+ 5

A: Given that f(x)=ex2+5 find out f11x

Q: D. If f(x) = 2x +5 and h(x) = x - 1, find g(x) such that (a) g of=h and b) fog h

A:

Q: Find E(X) X  0 1 2 3 P(X) 0.2 0.4 0.2 0.2 Use Excel

A: The probability distribution is: X P(X) 0 0.2 1 0.4 2 0.2 3 0.2

Q: Graph the function f(x) = u₂(x) ln x + u5(x) (ln(10 − x) – In x) -

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Q: Given f(x) = In(- 4e" – 13), f'(x) = %3D

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Q: (b) Evaluate f, /2+ ]x| dx by method of substitution.

A: Break integral into two part then solve

Q: Find f''(x) if f(x) = e^3x^2+1.

A: calculate the second derivative for the given function

Q: Estimate the error if P4 (x) = 1 +x+ ( x^2/2) + ( x^3/6) + ( x^4/24) is used to estimate the value…

A: We have given that ,  P4x = 1 + x + x22 + x36 + x424 We need to use P4x to estimate the value of ex…

Q: (;) 9 and () ). For the functions f (x) = 4x4 – 19x³ – 10x2 + 35x – 50 and g(x) = x – 5, find E) (x)…

A: Consider the provided functions, fx=4x4-19x3-10x2+35x-50    and    gx=x-5 Find the value of fgx…

Q: Based on the table,  If M(x)=f(g(x)), then M'(1)=

A: Given: To determine: M'1

Q: Suppose f(x,y)=10x2y, 0<y<x<1,   a) What is E(X) & E(X^2)?

A:

Q: Express h(x) as a composition of two functions: h(x) = 3√(x2 + 1)

A:

Q: 2. Evaluate whether the following initial values is true in the function: y = 4cos-+ e-2x 2.a) 2.b)…

A: Given , y=4 cosx2+e-2x

Q: 2. Given the function -a Show that

A: Note :-  Since you have asked multiple question As per our policy, we will solve the first question…

Q: write a formula for f ogo h X +2 f(x) 3-x g(x) || 2 X' x +1 h(x) = v2- x /2-x X

A:

Q: Suppose that you have the following utility function u" (x) u (x) u(x) = Va. Find - o 1 2x - 2 1 -…

A:

Q: 7. Give an example of two functions h(x) and g(x), such that (h o g) (x) does not exist. E answer.

A: We have to explain by example in this question.

Q: Using f(x) = In(3 – 2x), what is its f(n) (x)

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Q: If f(x) = In( 1 + e4x), find f '(0). f '(0) =

A: The objective is to find f'(0).

Q: Given f(x)-등흐, find rlo). f(x) = 2x-3 B f(x) = 2x+3 f(x) = 3x +2 D f(x) = 3x - 2

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Q: If f(x) = In( 3 + e4x ), find f '(0). f '(0) =

A:

Q: Differentiate the following function. f(x) = - 4 e 3x *(-4 e 3x) = D dx

A: Differentiate the following function

Q: Find functions h and g such that (h o g)(x) = (x³3 + 2x – 1). -

A:

Q: Q4 Suppose X ~ Exp(A), calculate E[X|X > 1].

A: * SOLUTION :-  (4) As per given data the calculation is shown below

Q: ff is continuous and f(x) dx = 19, evaluate f(2x) dx.

A: Given that a integration and we solve use these integration to another integral value.     Here i…

Q: Find the value of x. x+1 M K in

A: In the given fig, we have two triangle ∆LMK an equilateral triangle And  ∆ JMK  an isosceles…

Q: In Exercises, write a formula for ƒ  g  h. ƒ(x) = x + 1, g(x) = 3x, h(x) = 4 - x

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Q: Find E(g(X)) where g(x) = x² + x + 1. %3D

A: The E(g(X)) can be calculated as E(g(X)) = E(x2 + x + 1) = E(x2) + E(x) + 1

Q: d. lim_ f(x) ィ→o e. f12)

A:

Q: Which is equal to (4) (x) given that g(x) =1 – 3x and h(x) = Vx? %3D Vx – 3xVx - 3xVx X. Option 1…

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Q: Find fogo h. f(x) = x* + 8, g(x) = x – 6, h(x) = Vx

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Q: 3. Find f. (g) f'(x) = 2x – e

A:

Q: (So g)(x) is

A:

Q: Find fogo h. f(x) = x – 8, g(x) = /x, h(x) = x – 8 %3D

A: Given that: f(x)=x-8g(x)=xh(x)=x-8

Q: 6. Given that f(x) = 3x? + 1, find +h)=[(x)

A: Given f(x)=3x2 + 1

Q: If f(6) = 11, f'is continuous, and f '(x) dx = 20, what is the value of f(7)? (7) =

A:

Q: ) Find the domain.range ar (1) y=x

A: As you have posted multiple questions so according to our guidelines we will solve only first…

Q: Differentiate the function D = 3 – In p. - D' =

A: Simply use the standard form of derivative and calculate the differentiation.

Q: If f(6) = 15, f'is continuous, and f (x) dx = 15, what is the value of f(7)? f(7) = %3D

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Q: If G(x) = S T/1+tdt, then G'(3)

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Q: What is (g*h)(x)

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Q: Find f(a), f(a+h), f(a+h)-f(a)/h h does not equal 0 f(x) = 5x2 + 8

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Q: Is the function of k(x)= 9^x/7*7^x exponential? If so, write the function in form k(x)=ab^x

A: Consider  the function

Q: Let A =D+x and B=D-2x ify= e3* then ABy = e3"(F(x)), Determine the value of f(X) if x=6. (use 2…

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Q: 12. If g(x) = 3 + x + e*, find g¯'(4).

A:

Q: dx (b): Evaluate the Jo (1+x)(2+x)/x(1-x)

A:

Q: What is the range of {(x,x³) | x E N} ?

A: Solution - Domain is the set of natural number. x € N  X = (1,2,3,4,5,...........)

Q: he surtace f(xy) A

A: A line lies on a plane if and only if every point on the line, lies on the plane and the normal to…