Find the maximum value of f(x1,x2,. ,xn) = (x1.x₂ -In)¹/" where ₁,..., In are positive numbers and 1 + x₂ + ... + n = c where c is a positive constant.

Q: Let f(x) = 6 + V4x – 5. Find f-'(x). f- (x) = for x > 6

A: Given f(x)=6+4x-5 The objective is to find f-1(x).

Q: The velocity of a particle in space at time t is given by(t) = t² i + 2t + 2 k Find the distance…

A: Solution

Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(5) = 0 f(x) =

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Q: Differentiate the function. h(t) = √t-8e* h'(t)

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Q: of and ду of For the function f(x,y) = In (x+ 3y), find

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Q: Find the point on y = 4+ x² that is closest to (1, 1). 0 (0,4) O (0.142, 4.020) O (0.545, 4.194) O…

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Q: The amount of medicine m in the blood during a four-hour treatment is given as me²t = 3t. Determine…

A: The amount of medicine m in the blood during a four hour treatment is given as

Q: Solve 2sinx- V3 = 0 on interval [0,2 t)

A: We have to solve  2sinx - √3 = 0 on interval [0 , 2π)  Since ,  2sinx - √3 = 0  2sinx = √3

Q: Plot f (x) = 2√x − x on [0, 4] and determine the maximum value graphically. Then verify your answer…

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Q: Determine the length of x = ¹³ (y − 1)³/² between 1 ≤ y ≤ 4.

A: Thank you 😊

Q: let hG) = f(x) %3D where f(-3) = 7, f'(-3)= - 9, g(-3) = -2 and gʻ(-3) = 1. What is b'(-3)? %3D %3D

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Q: For the function f(x,y) = sin (3x − 7y), find of of dy of af and ?x ду

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Q: If a and b are positive numbers, find the maximum value of f(x) = x°(2 - x)b on the interval 0sx <…

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Q: nd frr for the function z = x ° - 6xy+ 4y .2 30x 2- 42x 6x- 6y

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Q: Differentiate f(x) = Vx² + 1(³. Do not simplify. x+2"

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Q: evalu ate the integ ho ral (Usec for Hhe constant of integ ra (In (x))²dx

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Q: do f() dr where f() = - sin o + sin o cos o = sin ø(y cos o- 1).

A: Given dϕdr=fϕwhere fϕ=-sinϕ+γsinϕcosϕ=sinϕγcosϕ-1

Q: 7. Given f(x) = ax² + bx + c, determine the values of a, b, and c if: f'(x) = 6x + 3 and ƒ(2) = −1.

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