Given that f(x) = 3x²- 3cx +2, find c such that if f(x) is divided by (3x – 1), the remainder will be 0. %3D -

Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

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Q: | g(x) dr = 15, find / [3f(x) + 5g(x)] dr. If f(x) dx = 28 and If %3D %3D

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Q: If f(x) dx = 31 and g(x) dx 12, find [4f(x) + 6g(x)] dx. %3D

A: See the details solution in below

Q: If f(x) = x² + 3x + 1, what is f(x + 2)? %3D A. x2 + 3x + 3 B. (x + 2)2 + 3(x+ 2) + 1 C. (x + 2)(x²…

A: We can make it easier for you

Q: Given f(z) = 7x + 4

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Q: If F(x) = x +5x +C and F(1)= 11, what is the value of C? %3D

A: F(x)=x2+5x+C, F(1)=11

Q: If h(X) =n) 3+3F(X) where FC1) =7 and f'(1) what is h'LI) ?

A: If h(x) = 3+3f(x)   where f(1) = 7 , f'(1) = 2 differentiate h(x) with respect to x.   then put x=1

Q: If f(x, y) = 2x+6 (2a-6y) of then is given by:

A: In the above question we will take y as constant since we have to partially differentiate it with…

Q: If the p. d. f. of X is f(x) = ; 2 < x < 8, then E(10X²) is: %3D

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Q: If f(x)%3D3X2 4x+2, wha a. -7 b. 0 С. 7 d. -1 e. 1

A: Given:fx=3x2-2 and gx=4x+2f+g-1=

Q: The y, of y'"-y=2x2-x -3 by using variation of parameters is: .A Y,(x)= x - 1 .B y,(x)=x² + x +1 .C…

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Q: Find the antiderivative of f(x) = x³ – 6x +7

A: fx=x3-6x+7 to find the antiderivative, we need to take an integration Fx=∫ fxdx

Q: (c) f(x) = x4 - 1 and g(x) = x4 – x³ – 3x² + 5x – 2 in F(R) -

A: HEre we have to find the GCD of the given polynomIal.

Q: find the interverse of the fuction f (x)= 2x + 3/x-4

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Q: 3 For the given equation f(x) = x³ +a2 %3D 6x + 10

A: f(x)=x^3+3/2x^2-6x+10 f'(x)=d(x^3+3/2x^2-6x+10)dx f'(x)=3x^2+3/2(2x)-6(1)+0 f'(x)=3x^2+3x-6 take…

Q: Given: f(x) = 4x“ – 15 and g(x) = 2.x+11 %3D What is the value of g(f(x)) ?

A: Given f(x) = 4x4 - 15g(x) = 2x+11g(f(x))=?

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

A: Let's find.

Q: If f(x) dx = 37 and g(x) dx = 12, find [4f(x) + 5g(x)] dx. %3D

A: Given : ∫06fxdx = 37∫06gxdx = 12

Q: find the general antiderivative of f(x)=4x+7

A: Given : fx = 4x + 7

Q: Given f(x)=x– 2x-8, g(x)=5x -1 and h(x): %3D

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Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

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Q: If f(x) = 2x2 – 3x + 1 and g(x) = x + 5, what is f(g(x))? %3D - A 2x2 + 17x + 36 C 2x? – 3x + 6 B. B…

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Q: If f(x) = x² – 5 and g(x) = 6x, then g(f(x)) is equal to %3D A 6x³ – 30x © 36x? – 5 6x² – 30 D x2 +…

A: Given:     To determine:

Q: Find the antiderivative of f(x)=x3−6x+7

A: Given: f(x)=x3-6x+7

Q: (a) f(x) = 2r3(3 – 4x)

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Q: The antiderivative of the function f(x) = + 7x is -3 3.5x2 +c 3 + 3.5x? +c -7 +1.5x² + c -3 +14.0x²…

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Q: on f(x) = +9x is %3D 2)

A: There are multiple questions, as per company policy kindly ask other questions separately.    Given

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: find the most general antiderivative of f(x)=6x^5-8x^4-9x^2

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Q: 3. Given the function f(x) = 4x^2 + 10x + k, find k when f(x) is a perfect square.

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Q: If f(x) = 5x4-2x³-x²+3x - 1, then | f'(0) = %3D d2 f(0) = dx f"(x)= d4 dx 4

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Q: Given f(x)= x² +3x –1 and g(x)= 2x +1; what is (fog(x) 6x

A: f(x)=x2+3x-1g(x)=2x+1composite function:(f o g)(x) = f(g(x))   =f(2x+1)   =(2x+1)2+3(2x+1)-1…

Q: Find the particular solution determined by the initial condition. f'(x) = rx) = 2x2/5 - 3x, f(1) =…

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Q: 10. For f(x) = 2x3 + 7x + 4, g(x) = 4x? + 4x + 6, and h(x) = 6x² + 3 in Zg find f(x) + g(x)h(x) with…

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Q: Given F(x) = x + 6x - 7, evaluate. %3D F(-6) 3p p + 2' Given H(p) evaluat H(-3)

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Q: Given f(x)= x² +3x-1 and g(x)=2x+1; what is (fog)(x) %3D %3D

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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: The antiderivative of the function f(x) 6 + 8x is -8 + 3.0x2 + 6 + 4.0x2 + c 6 + 16.0x? + c -6 4.0x?…

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Q: If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1

A: Solved below

Q: If f(x) = 3x – 1, h(x) = 6x + 5, and fog=h, find g(x). %3D

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Q: With f(x) = 3x +1 and h(x) = 2x – 4, find (f o h)(5)

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Q: Given f(x) = æ + kx - 2, and x 1 is a factor of f(x), then what is the %3D value of k?

A: Definition used -         Factor theorem -            It is a special case of the remainder…

Q: A particular solution of x¨ − 3x˙ + 2x = t2 + 1 is given by

A: given that x''-3x'+2x=t2+1. we need to find the particular solution for the given differential…

Q: If f(x) = ax + bx + c has zeros x = 15 and x = 6, what zeros does f(x + 1) have?

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Q: Find the value of x and y for f(x)=3x2+9xy-y2-9x,if fx(x,y)=0 and fy(x,y)=0

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Q: If f(x) dx = 37 and g(x) dx = 14, find [4f(x) + 6g(x)] dx. %3D

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Q: If f(x) dx 39 and g(x) dx = 12, find [2f(x) + 3g(x)] dx. %3D

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Q: 1. If f(x) = 3x + 9 and g(x)=x²-4, find: b) (fog)(2) d) (gof)(3)

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Q: Suppose f(x)dx= 2 and f f(x) dx = 1, and f3f(x)dx=-6, what is B. 2 C. 3 D. 4 A.-2 f(x)dx?

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