5 Suppose f(x) =. If 4x – 3 )dr AV4X-3 +C, for constants A and C, what is the value of A? Write the answer in its exact form as an integer or a fraction in lowest terms. A=Blank 1 Blank 1 Add your answer

Q: Let h(x) = f(x)g(x). If f(x) = -x – 4 and g(x) = In(2x? – 2x – 4), what is h' (x)? Select the…

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Q: 1 1 suppose / f (x) dæ = –2 and / g (x) dæ = 1. What is the 1 value of / (f (x) + 3g (x) – 2) dæ?

A: Given : ∫01fxdx = -2∫01gxdx = 1

Q: (d) Find all x for which f(x) =-4. Value(s) of x for which f (x) = -4: %3D

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Q: 5. Given f(x) = x² +4x +2 and g(x) = 2x – 3, find all of the following:

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Q: If f(x)=(x+1)(x-2)(x-3) represents a student's displacement from school in kilometers, where x is…

A: solution : Function represents the students displacement from school is: f(x)=(x+1)(x-2)(x-3)…

Q: Under certain​ conditions, the number of bacteria present in a colony is approximated by…

A:

Q: 5 Given h(x) = x³ + px² − x − 4, find a value for p so h(x) has an inflection point at x = -4.…

A: I am attaching image so that you understand each and every step.

Q: Let h(x) = V4+ 3f(x) with f(1) = 7 and f'(1) = 4. Find the value of h'(1).

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Q: 53. Suppose that f(x) = 3 sın x. 3. (a) Solve f(x) 2. %D (b) For what values of x is f (x) > on the…

A: Find your answer below

Q: Find f' (2) and determine the value of x for which f'(x) = 0 a) f'(x) = ln2x - 2x b) f'(x) = (2x…

A: Two functions are given by, f'x=ln2x-2x and f'x=2x-85. The objective is to find the value of f'2 and…

Q: 1) Let f(x) = –2x² – 3x + 2 f (x+h)-f(x) Find where h # 0 and simplify your answer as much h…

A: We have to find the value of function

Q: if g(x) = 2x 10                            and h(x) = 3x-2                 3   Find g[h(x)]…

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Q: 9. Determine the value(s) of k so that the function f (x) = 5x“ + 8x - k has : a) 1 zero b) 2 zeros…

A: We have to use properties of discriminant to solve the question

Q: 17. Given the function f (x) = x2 + 2. Find and simplify the difference quotient. S(x+h)-f(x) h 0

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 10. What value of k makes the function {2x - (4(x + k) if x > 2 if x <2 f(x) continuous at x = 2? А.…

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Q: 3. Determine the values of a and b if the given function f(x) is continuous. (2x + 6 ,x 2 Solution:

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Q: 3x + 15 f (x) = 2x – 8 ? 12. Which equation has the same zero(s) as the function O 3x + 15 = 0 (3x +…

A: Here we will try to factorise the f(x) and check if any common factor is there or not, Then we will…

Q: Suppose f(x) =- 3 If If(x) dx=A V4- 5x +C, for constants. A and C, what is the %3D 4- 5х value of A?…

A: f(x)=34-5x∫f(x) dx=A4-5x+C

Q: 6. Given f(x) = x² - 4 and g(x) = 2x – 1, find [ g•f](-2). %D O A. -5 В. -1 Ос. 21

A: Since, we have been given that f(x)=x2-4 and g(x)=2x-1.Our Aim is to calculate g.f(-2)=?

Q: 4. If f(x) > 0 for all x € [a, b] and a. 0 b. A (² f = A, which of the following is the value of c.…

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Q: Find f '(x), if f (x) = e−5x 5e O-5e^-5x 5e^-5x 5x

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Q: 1. Suppose: f(x) = 2x + 5, g(x) = - x². a. Find g 8(S(x)) 'b. Is g(f(x)) one to one? Justify your…

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Q: Given f()= 2x +1 nd g() = x'+ 2x-1, ind (-9() Then evaluae he difene when x=2,

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Q: Let h(x)=f(x)g(x). If f(x)=4x^2−4x+4,g(−1)=2, and g′(−1)=0, what is h′(−1)? Do not include…

A: Given, h(x)=f(x)g(x), f(x)=4x2−4x+4, g(−1)=2  and g′(−1)=0 f(-1) = 4-4+4 = 4 f'(x) = 8x-4 ∴ f'(-1)=…

Q: 1. Given f(x) = -2x and g(x) = x - 7, find g(f(2)). *

A: f(x)=-2x g(x)=x-7

Q: Express f(x) in the form a(x − h)2 + k. f(x) = −4x2 + 24x − 17   f(x)=?

A: Given: f(x) = −4x2 + 24x − 17…

Q: 6. Consider the function f(x) = A (eikx + e-ikx) for -27/k<x< 21/k, where k is a real constant. For…

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Q: a) Suppose that f(3) = 15, f'(3) – 5 and let H(x) = Vf(x)+ 10. Find H'(3). b) Let f(x) = cx +…

A: (a) Differentiate the function Hx with respect to x to find H'x.

Q: 4) Find the value of the function f (x) given in the table below at the point x = 3 by Aitken…

A: Aitken method is used to find out the interpolation value of the function f(x) at a particular x…

Q: 7 – VF+2 (8x– In(x))(x+ – 3) | 4. Find f '(x) if f(x) = You do not have to simplify your final…

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Q: Let f (x) = 2x – 3x + 2 and g (a) = 6x 5x +2. What is the rule for (g- f) (x)? o (g – f) (x) = 4e² –…

A: 3rd Option  is true

Q: If f(x)=5x-1, g(0)=2, g'(0)=4, and h(x)=f(g(x)), then what is h'(0)?

A: Given that h(x)=f(g(x)) Using chain rule we get: h'(x)= f'(g(x))g'(x) We plug x=0 So, h'(0)=…

Q: 8. Given f(x) = 3x -9x+35 and g(x)= f(x), determine all possible values for g(5).

A: No real roots

Q: 2. Suppose that f(x) is an unknown function, but we know that g(x) = (x² + 5)(f(x))². (a) Find…

A: Using product rule of derivatives.

Q: If f(x) = 3 + 2x and g(x) = square root of 4 + 4x Then, what is the composite function of f o g?

A: Given: - The functions are, f(x)=3+2x and g(x)=4+4x To find: - The composite function of f∘g

Q: s given by: (A(x² – 2x + 2) f(x) = ЗА 3 <x< 4 otherwise ere A is a constant

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 8. Suppose f(x) = Vx – 3 and g(x) = x² + 5. Which of the following is a formula for (f° g)(x)?

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Q: (b) Find values of x, if any at which f is not continuous (2x +3 xs 4 7+ x>4 f(x) = 16

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Q: 10 Q4 For the functions f(x) = 7x + 4, h(x) =-3 and g(x) = 3x-2 (a) Evaluate (1) g(4) (ii) h{g(4)}…

A: It is given that fx=7x+4,  hx=10x-3,  and  gx=3x-2. (a) Evaluate: (i) Find the value of g4.…

Q: 3 Suppose f (x) = If 5х — 4 [s(x) dx=A/5x- 4 +C, for constants A and C, what is the value of A?…

A: Given: f(x) = 35x-4 ⇒f(x) = 35x-4-12 ∫f(x)dx = A5x-4+C

Q: 18. if f(x) = 2x² + 3x² - 4x-5 X+1 Suggested Table X f(x) -1.1 -1.01 -1.00 find X-7-1 f(x) = ?…

A: The given function,  fx=2x3+3x2-4x-5x+1

Q: Given f(x) = - 4x² + 8x – 4, answer the following: a) Find the x-value of the critical point of…

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Q: 2. Given f(x) = x² – x – 4. If f«)= 8, what is the value of x? 3. Express the relationship 2n + 6p =…

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Q: 11. Given f(x) = x + 3x-5 and g(x) 2x + 1, find (f+ g)(x). O A. 2a? + 4x-5 O B. a +a - 6 C. -x2-5x +…

A: Functions are given by f(x) = x2+3x-5 g(x) = 2x+1

Q: 5. Let f(x) = ab". Determine the constant b so that f(-1) = 10 and f(2) = :.

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Q: Find a value of the constant k, if possible, that will make the function continous everywhere if…

A: The objective is to find the value of k that will make the function continuous everywhere.

Q: Let h(x) = f(x)g(x). If f(x) = –3x² + 2x – 3 and g(x) = –3x² + 4x + 3, what is h' (1)? Do not…

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Q: Let h(x)=f(x)g(x). If f(x)=−3x 2−4x+2 and g(x)=−x2 +3x+2, what is h′(−1)? Do not include "h′(−1)="…

A: Consider the function