1- I Given the functions f(x) = 3+ Vĩ, g(x) = x² – 3, h(x) = I - 3 5x – 1' %3D m(r) = find the following: 3x + 5' 0om)(x) (d) (f – h)(x) (e) (g + h)(x) (f) (fm)(±) |

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

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Q: f(x) dx = -4, f(x) dx = 6, g(x) dx = 8 - If g(x) dx b. c. 3f(x) dx d. dx x) - g(x)] dx g(x)] dx e.…

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Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

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Q: x' +4x? + x - 6 f(x) =マ+x-4x -4 %3D X' + X 4х

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Q: Find the GS for x³y"" + 6x²y" + 4xy' — 4y = 1 − x − 2x² -

A: Solution:-

Q: If f f(x) dx = 6, f f(x) dx = 2, and f, g(x) = -5, find f₁[2f(x) — 4g(x)]dx.

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Q: y=(4x -5x +6)(e-sin 2x), then find dy at x 0.

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Q: For the function f(x,y)= (x² + y²) tan(ln(xy)) + e(x-y) which of the following is the value of…

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Q: f (x) = 5.6 sin (2.6x – 4.2) – 9.1- What is the equation of the midline of the function %3D o y =…

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Q: Find a general solution of (D² +4)(D – 1)(D + 3)²y(x) = 0. 1. D shows the derivative operator.

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Q: Given f(5) = 4,S"(5) = 2, g(5) = 6, and g'(5) = -7. Find W(5) if h(x) = fG) × g(x). O-50 O 14 O-16 O…

A: To find h'(5) , we will differentiate both sides to the given equation.

Q: a) Find a function ƒ such that f'(x) = 4x² – 2x – 1 and f (-1) = 2 %3D b) Find the function g such…

A: Given: f'x=4x2-2x-1, f-1=2 for finding functionfx, we integrate f'x so,…

Q: GIVEN: The function, f(x) = (2x+ 7a)(x – a)², where a>0 and a constant. Find f'(x) in FACTORED FORM…

A: This question is related to derivative.

Q: Please show step-by-step solution!

A: Option (e) is the correct option. Use the property of the exponents to rearrange f (x). Then…

Q: f(t) = 2t2 - 5 sin(3t) %3D L{f(t)}

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Q: Let f(1) = 2 and f (1) = 3. Suppose g(x) = [f(x)²=]. Calculate g' (1). %3D %3D

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Q: Find (f-¹)'(-6) given the following table of values. (Enter an exact answer.) Provide your answer…

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Q: -f(x – 2)dx

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Q: Let h(x) = f(x)g(x). If f(x) = -5a2 +5x- 4, g(2) = 3, and g'(2) = -4, what is h'(2)? %3D %3D Provide…

A: Find the derivative of h at x=2

Q: 2x + 3 If f(x) = then x – 2 dy / (x – 2)² dx ||

A: fx=2x+3x-2

Q: Given f(x) = -3x + 3 and x = 3r In (2s). Find f, (2, 4). Give your answer correct to two decimal plo

A: Follow the procedure given below.

Q: Let f(x) = x2 g(x) = 2x-3 h(x) = Vx+1 %3D %3D 5. (g o f)(1) 6. (h o g)(5) 7. (g oh)(1) 8. (fo g)(x)

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

Q: A small fire is sighted from ranger stations A and B. Station B is 1.6 miles due east of station A.…

A: The distance between station A and station B is c=1.6 miles. The distance from station A to the fire…

Q: 17) Let f(x) : Find a %3D X - 9 function y = g(x) so that (f •g)(x) = x. %3D

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Q: dy (d) 3y(x2 – 1) + (x³ + 8y – 3x) dx 0 =

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Q: If f(x) = (3x – 2)(2x + 3), then a. f(– 2) b. f'( – 2) = c. f''(– 2) d. The values of x for which…

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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: Find the values of the coefficients a, b and c so that the conditions f(0) = 1, f'(0) = -10, and…

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Q: Use the values in the table below to answer each of the following: x f(x) g(x) f'(x) g'(x) f"(x) 0…

A: The table is given

Q: Find the given value. g(x) = 5x3(x2 − 5x + 4),    g'''(0) g'''(0) =

A: Use derivative to get the value of g^"'(0).

Q: g (x) = V2x-1- 1. Which function is the inverse of of (x) = 2(x+ 1)° + 1 of (x) = 2 (z+1)3 +1 ° f…

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Q: Find f. f ″(x) = 20x3 + 12x2 + 8,    f(0) = 6,    f(1) = 3 f(x) =

A: To solve the following