If f(x) = (x + 6)² then f(x + h) – f(x) = Ax + Bh + C h Find the constants A, B, and C. A= B= and C=

Q: Let Ax) = x³ + 9x² – 6x + 2. Find f (x) and f"(x), and then solve f"(x) = 0.

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Q: F(x)=3x^2+2x-7 , G(x)=4x-5x^2+3x: Find G(x)-F(x)

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Q: If c is a non zero constant then the function is always differentiable x2 + c2

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Q: Q2) Find the values of constants (a)&(b) that makes the f(x)= ax + b 3 (-3 x≤-2 -2<x<4 x24 Con

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Q: {G) = -2x+5 firid f(2)

A: To find: The value of f1. Given: The function is fx=-2x+54. Calculation: Substitute x=1 in…

Q: kx +5, g(x)={ 2 x<-2 4. If the function 3x+x², x2-2 is continious at x=-2, then find the value of k.

A: Given query is to find the value of k.

Q: f(x) =1-x² 2.

A: The answer is given as follows :

Q: f(x) 1 and g(x) = 2x 1 and h(x) = 1 4x-1 flglh(x)]] = -3 1 3 1 3

A: Use function property

Q: F(x)=3x^2+2x-4-F(x)=

A: Given:The function is,

Q: Find a and b so that the function 1 5x3 — 6х? + 3, х -2 f(x) = ах + b, is both continuous and…

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Q: f(x) = x -5x+3; k = 2+ i

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Q: x² -9 f (x) = is 0<x<5 and x=33 at the point 3 x² – 2x – 3° - 1.5

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Q: kx +5, g(x) ={ 2 (3x+x², x<-2 If the function x2-2 is continious at x=-2, then find the value of k .

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Q: f(x+h) – f (x) h f(x) =5x²+ 2x– 3 4. Find the difference quotient, , of (a) g(x) =- (b)

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Q: 3 na of the function f(x) =x3 -x2 - 6x + 12, -3 < x< 3. 2

A: Solution of the problem as follows

Q: f(x)=−4x+4​,g(x)=−5x2+5x−4​,andh(x)=−3x2+8​, find h(−1​).

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Q: 3. Given f(x) = -7x-8-4sin(8)- 3e-6x – 4n² then determine the defining equation of f(x).

A: To determine the defining equation of f(x) from f'(x), we integrate f'(x) with respect to x.

Q: f(x) = x² = x- and g(x)=x+2

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: x-1' Find the value of the constant A for which the follo

A: Find the value of A

Q: x²-4 f(x) = In2-3x-4,

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Q: e. As x+, y =-3 x+2x-3x* → f. As x-2, y=4+5x →.

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Q: Find the function value, if possible.

A: Solution:Given     f(x)=2x+1x&lt;02x+2x≥0to find the function value

Q: Example: Find the PDE, which has a general solution ø(→,2) = x x =0, where is an arbitrary function…

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Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: I need help with number 21

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Q: f(x) = g(x) + h(x), where g(x) = 2x 4 + 12x2 + 4 and h(x) = -5x 3 - 3x

A: Given gx=2x4+12x2+4hx=-5x3-3x fx=gx+hx

Q: h(x) = x 2- 2x g(x) = 2x - 5 Find h(-2) - g(-2)

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Q: Describe the end behavior for this fucntion F(x)=x^5-3x^3+2x-4

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Q: f(x)=(x^2+2x+3)^3, then f′(x) =    f′(1

A: First find derivative then put x=1

Q: جر جدور المعادلة )و تكرارات ( f(x) = x- AX+3 )4ا,2]

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Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)? Do not include…

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Q: 8) f(x) = 2x + 5; g(x) = 3x - 1 Find bo

A: Givenf(x)=2x+5g(x)=3x-1

Q: 10. Given the functions /(x) = 3x² + 2x + x+1 and g(x) = 2x² – 1, find (f - 9)x. a 3x +x b. 3x +x+2…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: x")' = a xa-,(x)'=1 and (constant )'= 0. %3D x+2 Using Quotient Rule (£)' = f'g-fg') x-1 A) 2x/…

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Q: 5. f '(x) = 7x + + – x³ find f(x) if f(0) = 7 -

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Q: f (x) = 2x² + 3x – 4, g(x) = 2x – 1. Find (g •f)(x) -

A: Given,          fx=2x2+3x-4          gx=2x-1

Q: Solve: If f(x)=3x-1 and t(x)=x+1, what is the domain of t. The domain is : Example: x7

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Q: x-2, xS-2 3) f(x) = %3D (-x-3, x>-2

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Q: Q 2/ find the value of (k) to continue the function (Vx+1-V2x f(x)= x2-x x = 1.

A: For continuity of function  Lim of f(x) at x=1 should be equal to k

Q: find g'(3) given that f(3) = -2, f'(3) =4, and g(x) =2x+1/f(x)

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Q: f (x) = x³ + 2x² + x – 1, (0, 1)

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: |3D ] B3(a): Find the critical points of the function f(x)= 7x² – 14x.

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

Q: xsqrt 9-x^2. Please solve starting from c

A: Given query is to find the double derivative of the function.

Q: f (x) where f (x) g (x) 8x2 +24x 2x2 Find R(x) and r2 - 8x (x) 6 x2 + x -6

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Q: f(x) = 1- 2x and g(x) = 1- x. Find (fo g)(x). %3D 4x - 1 2x 4x 2x - 1

A: Given  f(x)=1-2xand g(x)=1-x

Q: Guven f(2)= e and gSin(xt i) f)- e3x² and g Sun(xt 1) find flgez) and g(f(2)

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Q: (3) f(x)= x/4-x²,[-1,2]

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Discuss Continuity x² + y2 g(x, y) x²- 3x + 2

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Q: f(x)= (x)/(x-2) AND g(x)= (6)/(x2-1), find f(g(x)) and its domain

A: We have given the functions

Q: a) f(x) =(5x + 3)(7x² - 2) using the product rule b) f(x) = (3x? - 5) using the chain rule c) f(x) =…

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