A- Test and proof the function 00 x²e2-x dx 2

Q: аз. f(x) =x° +3x° +4x–12 (a) Show that the equation f (x) = 0 can be written as

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Q: Find g'(3) given that f(3) = -2, f'(3) = 4 , and g(x) = . 2x+1_ f(x) * Answer:

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Q: Let H(x)=f(x)-g(x). If f(x)5x2 and g(x)=2x3 , what is h'(1)?  a)4 b)16 c)6 d)10

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: [f(a+h)-f(a)]/h Given f(x)=x2+2

A: The given function:

Q: Find the domain and range of the function

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Q: f (a+h)- f (a) 7. Given f (x)==, find

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Q: 1. Consider the function f (x) = ;x + 10. a) What do the two numbers and 10 represent? 2 b) Solve f…

A: As per bartleby guidelines one question should one question should be answered once, please upload…

Q: Find the inflection point, if any, of the function. (If an answer does not exist, enter DNE.) g(x) =…

A: Find the inflection point, if any, of the function. (If an answer does not exist, enter DNE.) g(x)…

Q: 25/ Find the domain and range 1 (a) f(x) = i (b),

A: We are given two functions and we need to find the domain and range of these functions. This can be…

Q: f(x) = (-x³ – 2x)e*+2 f'(x) =?

A: Given: f ( x ) = - ( x3 + 2 x ) ex+2          To Find: f' ( x )

Q: Find the domain of the function f(x) = – 2x? – 5x 1 Use interval notation to express your answer.

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Q: Detemine where the value of f (x) = x-x2 1+8x2 is increasing and decreasing. ED AN AND

A: fx=x-x21+8x2 Differentiating with respect to x, we get f'x=dx-x2dx·1+8x2-d1+8x2dx·x-x21+8x22…

Q: f(x)=1-2x What is f(1/x)?

A: Solution: The objective is to find f(1/x)

Q: f(x)= 5e5x^7+9x^10 f'(x)= ? Show work

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Q: Find the functions f and g so that ? ∘ ? = H H(x)= -3 / (Square root of) x-2

A: Here we have to find each functions from the given composite function.

Q: Find functions f and g so that f • g = H. 73) H(x) = (5 – 2x3,2

A: Given H(x)= (5-2x3)2

Q: lg(h(x))= +2 Find three functions f. g.h that satisfy:

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Q: Consider the function f (x) = ax³ + bx where a and b are constants. Suppose f' (–1) = 12 and f' (0)…

A: fx=ax3+bxf'-1=12 and f'0=6To find the value of a and b

Q: f(x)= the square root of x-5 and g(x) = f(x).What is (f+g)(x)?

A: Since f(x)=g(x) ,so g(x) is also square root of x-5. Also, (f+g)(x) is the sum of f(x) and g(x) as…

Q: 3x + 8 If f (x) = 2r and f(0) = -8, what is the value of A? A %3D A =

A: Find the value of A

Q: 1 ind the domain of the function f(x)%3= What is the only value of x not in the domain? 4x + 2 Only…

A: Domain of a function is the set of all possible input values to the function for which the function…

Q: 2a5 Given that f(x) = and values h(-1) =-3. h'(-1) = 7, find f(-1) AND f'(-1). h(x) %3D Show your…

A: f(x)=2x5h(x), and values h(-1)=-3, h'(-1)=7

Q: F(x)=4x^2-9 Solve: F(x)-f(a)/x-a

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Q: Q3) A) If you have three functions: f(x) = x? - x g(x) = 3x- 1 w(x) = x2 – 2 So, find gof (x) and…

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Q: f(x) = (-x³ – 2x)e*+2 f'(x) = ?

A: We know that: The product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f'gx·g'x The Power rule:…

Q: 2x+3 (1) Find the domain of the function_H(x)= 4r x -

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the leading coefficient of f(x)? Given f(x)=-(x-3)2(x+3)2

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Q: |x-3. Find flexo :)? f(x) = \ / . \

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Q: a. h(x)=(8-f)(x). *T

A: Graph. Here values are estimated from the given graph.

Q: Write the formula for the derivative of the function. g(x) x2 g'(x)=

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 1. f(x) = 6x + 15 find f'(x) Answer:

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Q: Evaluate f'(a) for the function f(x)= 2x² – 5x+1 What does f'(a) represent?

A: NOTE: Refresh your page if you can't see any equations. . take derivative take x=a

Q: Consider the function f(x) = x² + 2x – 6. a) Find f(a) and f(a +h). f(a +h) – f(a) | b) Find h + 0,…

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Q: (ii) f(x) = (x + 1)³, a = 2

A: The Taylor series of the function f(x) about x=a is f(x) = f(a)+f'(a)(x-a)+12!f''(a)(x-a)2+...…

Q: f(x) = a-2

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Q: find f( a + h) - f(a) for the function. simplify answer  f(x) = x^2 - 15x + 10  f(a+h)-f(a) = ?

A: Given f(x)=x2-15x+10 To find f(a+h)-f(a)

Q: x²+3x If f(x) = , then what is f"(1)? x +1

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Q: f(x)= 4/x2+8x+7 and g(x)= 7/x2+x simplify (f-g)(x)= ?

A: f(x)= 4/x2+8x+7 and g(x)= 7/x2+x simplify (f-g)(x)= ?

Q: = 4x + e6x, use the formula (f-1)'(x) to find (f-1)'(= f'(f-1(x)) (1) =

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Q: Find f'(x). f0x) = 6x - 7 e* (Type an exact answer in terms ofe.)

A: Given

Q: Eualuate the function hx)= X +Sx2+3 at the given and Simplify Values of the indePendent variable…

A: The given function is :hx=x4+5x2+3we need to find h3a

Q: 3x+2 7. FIND f"(x) OF ƒ(x) = 4x ANSWER:

A: Proceed as shown below

Q: 4x2 Given the function y = find in any form. 2-2z

A: Given that y=4x22-2x find dydx

Q: 2x+3 Find the domain of the function H(x)= x' -4x

A: The objective is to find the domain of the attached function.

Q: Consider the function f(x) = 3x² + 6x – 5. %3D (a) What are a, b, and c? a = C = (b) Find - b 2a

A: Compare the given function with tha standard quadratic function than answer each parts.

Q: x''-2x'+x=4e^t

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Q: Find the domain of the function f(x) = 1 52+8 What is the only value of a not in the domain?

A: The given function is f(x)= 15x+8. We have to find the domain of the function. Domain is the largest…