102 TO TO 30 applying the definition of a marginal function. (c) Interpret your answer to part (b) in the real-world context of this problem by TO TO TO GES (b) Compute P'(50). niva o of no mao oboon mod lo sinsbmada teordgid ods boy sniatneo MO or p bas sboo yonoff UK ag d odi Tol 1 lo ohg o qo to (2oms o tun O pomeor o 0po heobyo s lo 1ldon SErola enolteonp 1o 2geg yA GO aubulani) 2oa (a) Find the marginal profit function P'. P(x) = -8x² + 1360x – 48000mim 0a :dimid omT

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A: d/dx(xn) = n xn-1

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A:

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A: Given differential equation x2-1dydx + 2y = (x+1)2

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A: This question is related to the differential equations, We will solve it using given information.

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A:

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A:  Given  equation  sinθ = 22  

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A: Differentiating using chain rule of differentiation.

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A: We will solve the problem 

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A:

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A: GIVEN : Path of the curve x2 + y2 = 1

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A: We will solve the problem 

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A: To Prove:  ∫y+4y2+ydy=4 lny-3 lny+1+C

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A:

Q: Evaluate the following limits, explaining your reasoning: sin x – x (a) lim (b) lim (1 + x)'/=

A: We will use L Hospital rule here

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Q: + 5)3; 3. dy

A:

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A: Find the roots of the equation first.

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A:

Q: The2nd derivative ofy = 24 is

A: USING LOGARITHMIC DIFFERENTIATION

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A:

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A: We have to choose the correct answer from the given option according to the given condition

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A:

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Q: [x- Cao+bo)]" Answer: e 4såsi (28å +2Si,)

A:

Q: p) S 64 cos4 2x dx A) 24 x + 8 sin 4x + sin 8x + C B) 64 x + 2 sin 4x + 4 sin 8x + C C) 2 sin 2x + 8...

A: Hence option (A) is correct.

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A: We have to solve

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A:

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A: Given f(x)=ln(x2+4x+5) ⇒f'(x)=2x+4x2+4x+5⇒f"(x)=2(x2+4x+5)-(2x+4)2x2+4x+52              =2x2+4x+5-2x...

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A: Let A be the area of the triangle with height h and base b.Given: dAdt=4 cm2/min         dhdt=2 cm/m...

Q: 14) E ()" ()" n%3D1

A:

Q: d?y у-xV3 — 2х2; dx2

A: Here, the given function is: y=x3-2x2⇒y=3x2-2x4...(1)

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A:

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A: Here is the solution

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Q: If f(x) = V10x, find f'(x). Find f'(7).

A:

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A:

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A: We will use integration to solve this.

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Q: Find the critical number for the relative extremum of this function: g(x)=sin x-x cos x, -2pi < x <2...

A: