Use the formula k(t) 286 +⁹ k(t) = (4 + 169 +¹2) ² = ¸ ||r'(t) × r"(t)|| ||r' (t)||³ = r(t) = t²i+t¹³j to find (t).

Q: Find f'(x) for f(x) = - 8A√x - 5Bx⁹ where A and B are constants. Completely simplify any fractions.…

A: Solution of given question is written in below steps.

Q: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

A: We need to find asymptote and intercepts.

Q: If f(x)= square root x​,find f′(3).

A: Given  f(x) = square root x        = √x        = x^(1/2)

Q: Find  f ′(a)  f(x) = 2x4,    a = −1

A:

Q: Calculate f""(−1) for f (x) = 3x5 − 2x2 + 7x−2.

A:

Q: For ƒ(x) = x + 10√ã, find (ƒ−¹)'(144).

A:

Q: Given g(x) 4 2-4' g(-2+h)-g(-2) h evaluate and simplify:

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Q: AB1: Find g(2), g'(2), and g"(2).

A: Given that gx=∫-2x2ftdt Now we have to find g2, g'2 and g''2 In the interval -2,2, fx=4-x2In the…

Q: A factory can produce R rugs a month based on the function R(n) 4n2 – 7n +58, where n is the number…

A: Consider the given function of number of rugs: Rn=4n2-7n+58 Where, nx=15x+20x Rate change in rugs is…

Q: Find (f −1)'(a). f(x) = x3 + 7x + 8, a = 0 (f −1)'(a) =?

A:

Q: Let Y be the yield of an apple orchard in bushels per acre, and let x be the number of pounds of…

A: Simple equation and derivative

Q: Guen F(x)= 4sin? (x), write the equaton ok the live tanjut to y=F(x). when x= 7r %3D 4.

A:

Q: If f(x) = 2x + ln x, find f-1(2).

A: The function is given as fx=2x+ln x......(1) The value of f(x)=2.......(2) Equate the equation (1)…

Q: A company incurs debt at a rate of D'(t) = 102(t+10) √ ₁²+ + 20t dollars per year, where t is the…

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Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(æ)

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Q: Given h' (a) = 7x2 + 21z' In a, find h (æ).

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Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: Find f'(x) and simplify. f(x) = (0.2x + 2)(0.6x - 9) Which of the following shows the correct…

A: f(x)= (0.2x+2)(0.6x-9)

Q: Determine r′(8) to the nearest tenth when r(x)=90x5 / 2x (Do not include "r′(8)=" in your answer.)

A: We have to find derivative of r(x) at given point.r(x) is given by:

Q: Solve for x: e2x – 3e* = 10 In x+ In(x – 7) = In(9x – 55) -

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Q: f(x) = ln(ex − 9)   find domain

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Q: The time, in minutes, for a student to run L laps is T(L). What is the meaning of T'(3)=2? O When…

A: It is known that derivative of a function represents the rate of change of the function.

Q: In each part, evaluate the expression given thatf(5) = 9, g(5) = -1,f' (5) = 18, and g' (5) = -9.…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Let ​f(x)=−5x−​1, ​h(x)=−x+4.   Find ​(f◦​h)(6​)

A: Please refer the attached image for complete solution.

Q: Due to depreciation, the value of an automobile t years after purchase is f(t) = ((900 + 6t /…

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