A car company wants to ensure its newest model can stop in 8 sec when traveling at 75 mph. If we assume constant deceleration, find the lowest value of deceleration that accomplishes this. (PAY ATTENTION about the units) ✓ ft/sec². Find the possible functions of given that f"" (x) = cos x. ○f (x) = - COS X — 5x2 f(x) = sin x + 3x ○ ƒ (x) = - sin x + 3x² 2 ○ f(x) = − sin x +3x7

Q: 00 (-1)*-1 2n + 1 n=1

A: As per our guidelines only one question can be solved. Kindly repost the remaining question in the…

Q: [CLO-2] Find the derivative of 5 cosx f (x) = 4 sinx+3 O 21 – 6 cosx O ( 7 cosx+2)2 6 – 10 cosx (3…

A: Given:         fx=5cosx4sinx+3   Differentiating on both sides       f'x=ddx5cosx4sinx+3 Taking…

Q: Let Find f(x)\x= = ". y = f(x) = 31 sec x + 18 tan x 31 sec x 18 tan x d dx -f(x)\ x= 1 *

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Q: find the slope Of the followiny functions at the gruen point: at Xo to JL

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Q: Let f(2) = - 8 cos x + 9 tan e f (2) = (-) = C 4

A:

Q: Let f(x) = sin2x and g(x) = cos2x. Determine whether h(x) is in span(j(x), g(x) ) h (x) = sin 2x

A: We have to determine whether the function hx=sin2x is in the span of the functions fx=sin2x and…

Q: Let .f(x) = - 4 cos? x f'(x) =

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Q: Let f(x) = sin2x and g(x) = cos2x. Determine whether h(x) is in span(j(x), g(x) ) h(x) = cos 2x

A: Given  f(x) = sin2x, g(x) = cos2x and h(x) = cos2x Then, we have to determine h(x) is in span(f(x),…

Q: ) Define the domain and range of f(x) where f(x) = sin²(x) – 1

A: The function f(x)=sin^2(x)−1 is defined for all real numbers x because the sine function, sin(x), is…

Q: Find the first derivative of y = Arc tan √x² −1+ Arc csc x 2 O 2 O 0 2 Ox√²+1

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

Q: Find f" (x) if f (x) = tan(x² − 1). ○ 2 sec² (x² - 1) ○ 2 sec² (x² − 1) (1 + 4x² tan(x² − 1)) ○ 2…

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Q: b) Differentiate the function below with respect to x. f(x) = (2+3x) sin (8 + 2x) Note: In Text mode…

A: The given function is f(x)=-2+3xsin8+2x. To Find: Derivative of above function.

Q: For f(x) = {2-cosxx find /(-2) + f(0).

A:

Q: et f(x)=-11sin x+3 cos x f' (x)=?

A: f(x)=-11sin x+3 cos x this is given  we have to differentiate the function  dsinx/dx = cosx…

Q: What is the derivative of −9 sin² (-3x³)? O-162x³ sin (-3x³) cos (-3x³) no correct answer O 162x²…

A: just differentiate the given function by using chain rule of derivative and easily find the required…

Q: Which of the following expressions is 1009th derivative of g(x) = -2 sin x ? g(1009) (x) = 2 cos e…

A: Given, g(x)=-2sinx

Q: Let f(x) = 6 sin ¹(x²). Then f'(x) equals 12x √1-x² 1 1- x4 6 /1-x² 12x cos−¹(x²) 12x √1 x4

A: The objective is to find the derivative of f(x).

Q: Determine f(x) so that cos(In x) f(x) dx = sin(In²x) + C

A: Option B