Find fAt – 3) for f(x) = 4x² – 8x + 4. %3D | 412 – 32t + 64 64 O 412 – 32t – 64 - 412 + 32t + 64

Q: 7. Find c such that f(c) = fave where fave is your answer to the previous problem.

A: (7) The function is given as , fx=x3 find c for fc=fave where fave is average value of f on 0,27.

Q: Find f(4) using forward, backward and central difference of : (3 – 2x)2 f(x) = x2 Step size = 02 %3D

A: We have to find difference .

Q: The antiderivative of the function f(#) + 8* is -8 + 2.0a2 +e 4 +4.0a2 +c -4 + 16.0a? + c -4 4.0a2 +…

A:

Q: The antiderivative of the function f(x) 2 + 7x is_ %3D 2 + 3.5x? + c -7 + 1.0x² + c 2 3.5x² + c -2 +…

A:

Q: 1² –3 (f) csc²(3x – 1) +

A: " Since you have asked multiple question. We will solve first question for you. If you want any…

Q: An antiderivative of f(x) = 5x4/3 + + 2x5/4 is %3D

A: The given function is fx=5x43+2x54. The antiderivative of ∫xndx=xn+1n+1+C.

Q: (b): Let f(x) V3x +9 and g(x) = 2x + 6 find fog(x) and gof(x).

A:

Q: The function f(x) = 2x³ 30x? + 54x 6 has two critical numbers. The smaller one is x = and the larger…

A: We have to find

Q: tind the Iinverse ) f(x) =5x-8 ® g@) = 2x-4 %3D こ gl6) = Vx+1+2 %3D

A:

Q: If S f(t)dt : 3x2 + 12x, what are the possible values of a? Verify that your values of a are…

A: The given integral relation is: ∫axf(t)dt=3x2+12x From the fundamental theorem of calculus,…

Q: Find the local extrema for f(x) = „5/3 + 8x2/3

A:

Q: Find f'(a) for 9. f(z) = V6 - 4x 18 f'(a) = (-4x+6)

A: Given:         To determine: f'(x)

Q: The antiderivative of the function f(x) =.8+ 11a is -5 2.8x4 +c -5 + 2.8 + c -5 + 2.8x +c -5 .8+…

A:

Q: The antiderivative of the function f(x) = x2 + 9x is. -5 + 18.0x? + c -5 4.5x? + c -9 + 2.5x² + c -5…

A:

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

A: Given : fx = 4x + 7

Q: Find f'(a) for f(z 1(2) = 6-4x 18 f'(a) = (6-4a)

A:

Q: Find the convolution of (a) Ila * IIa. (b) f(x) * f(x), where f(x) = e-l=l, -0 < x < o. %3D

A: Convolution : The convolution of two functions f(x) and g(x) is given by f(x)*g(x)=∫-∞∞f(y)g(x-y)dy…

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

A: We have to find the antiderivative of the function f(x) = 6x2 + 8x

Q: Find f(4) using forward, backward and central difference of: (3 – 2x)2 f(x) = %3D x2 Step size = 02

A:

Q: D. Let f(x) = 3x + 5 and g(x) = 2x - 7. Find 1. (fog)(x) %3D %3D 2. (g of)(2)

A:

Q: Find f'(4) using forward, backward and central difference of: (3 – 2x)² | f(x) = x2 Step size = 0.2…

A:

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

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

Q: Find the general antiderivative of f(x)=3x– 4x'+15e*.

A:

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…

A:

Q: Find f'(a) for -7 f(x) = V11 – 9a f'(a) = %3D

A:

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

A:

Q: Find the linearzation L(x) of f(x)= \sqrt(5x+16) at a=0

A: Given Fx=5x+16 at a=0The objective is to find the linearzatin Lx ofFx=5x+16 at a=0find the…

Q: Calculate M6 for f(x) = √7x on [0,2]

A:

Q: Q11: Let f(x)=xr° + 3x³ d +x-10. Find dx (5"(48) .

A:

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?…

A:

Q: 4. For f(x) = 3x² + 5 and g(x)=7x-2, %3D %3D

A: answer is in next step

Q: t f(x) = 2x - 3 and g(x) = x + 5. %3D a. 2. g(x) = 2( x + 5) = 2x + %3D b. 5 g(x) = 5(_) = 5x +, %3D…

A: Given f(x) = 2x-3 and g(x) = x+5                a)     2.g(x)=2(x+5)                    = 2x+10 b)…

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

A: Solving

Q: 1.3 Verify that f d = xp= x2V1+ x2 V1+ x² +c using the method you were taught in this course.

A:

Q: Eind Positive Numbers XE y Such that X+Y -54$ 1oxy is maximized

A: detailed solution with explanation is given below

Q: The antiderivative of the function f(x) = .8 + 10x3 is. %3D

A:

Q: 2 f(x) = v2x + 3,as 2. f(x) = v2x +3,a =3 %3D

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: f (x) —D 5x + 9х — 4 %3D 8(х) %3D — 8x2 — Зх — 4 Find (f + g)(x). O a.- 3x* 6x2 | O b.3x2 + бх — 8 О…

A: Given, f(x) = 5x^2 + 9x - 4 g(x) = -8x^2 - 3x - 4 Now (F + g) (x) = f(x) + g(x) Plug the values, (f…

Q: För #1-3, expand añd šimplify. Bê sufe tő show your work. 1.) –4x(x – 7) 2.) x(3 – x) – 7x(x + 5)

A:

Q: Find f'(a) for 6. f(x) = %3D V6-47 18 f'(a) = (-4x+ 0)*

A:

Q: 5x +6 If f(x) find: %3D 6x + 2 f'(z) = %3D f'(3) =

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Q: 2 Find f4(x), given f(x) = 5x ° – 4x² – 2x+ 1 O A. 300x O B. 600x O C. 400x+8 O D. 400x´+8

A:

Q: f (x) = x² – 3x + 9 g (x) = 3x³ + 2x² – 4x – 9 - Find (f – g)(x). Select one: a. –3x³ – x² + x + 18…

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

Q: Q 3. Consider f(x) = Зx-2 %3D 3+2x and g(x) = 2x- 5, find fog(1). %3D

A:

Q: For f(x) = 2x + 1 and g(x) = x² – 7, find (f- g)(x). %3D O A. 2x2 - 15 O B. -x² + 2x- 6 O C. - 2x -…

A: Given that : The functions , f(x) = 2x + 1  and g(x) = x2 - 7 .

Q: Find (f o g)(x). f(x) = 5x - 2, g(x) = – x² + 4x - 1 O -5x? +20x -7 %3D %3D |3| O -25x2 + 40x - 13 O…

A:

Q: If S. f(t)dt = 3x² + 12x, what are the possible values of a? Verify that your values of a are…

A:

Q: The antiderivative of the function f(x) = -.9 + 10x³ 9. is -6 2.5x4 + c -6 + 2.5x4 + c -10 + 1.5x* +…

A: