f(x)= (4x² +8x+2)

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A: Given :The shape of an oval field complying to a given circumference, if it is to have a maximum…

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A: I am attaching image so that you understand each and every step.

Q: f(x) = (6x² - 2x+1)^

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Q: ܐܐ 19. dz 'z(nz5

A: Solution is done in step 2

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A: Since you have posted multiple questions which are not interlinked so i can do first question as per…

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A: We have to evaluate the integral.

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A: Our Aim is to evaluate and solve the function given below using quotient rule.y=2x3-35x+2 -(i)

Q: f(x)= (3x²+2x+1)

A: Topic = Derivative

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A: To find the limit of the function

Q: Using chain rule, what is the (2x-¹-3x)³ ? da O 24+108x²+54xª+81x6 x4 -24+36x²+54x4 -81x6 x4 O…

A: The objective of the question is find the derivative .

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

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Q: Let f(x) = 3 cos 2x + sin² x. a) Show that f'(x) = -5 sin 2x. 3π b) In the interval 프 <x< 4 one…

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Q: 6. dx 13+4x- ?ܢ

A: A detailed solution is given below.

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Q: 4. Find an equation of the tangent line to the curve, f(x) = definition of the derivative. (Don't…

A: On solving this we will get

Q: using the substitution +5= √√x+2+ Find y+2 (√y+2-5) (5√/y+2-y+24) +C 02 (√3+2-5) (5√y+2+y+21)+C…

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Q: Solve the given function using chain rule of differentiation. Show your full solution.

A: On solving this we will get

Q: 10. 2 x² +8 X + 2 אן dx

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Q: 33x хе x³e³x dx S

A: This question is based on integral by parts.

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A: The given function is: f(x)=(-2-x)2+5 if x≠-34x+17 if x=-3

Q: (x+3)dx 10. ·S 4x² + 4x³+x²

A: A detailed solution is given below.

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Q: 1/A) Replace the polar equation by equivalent Cartesian equation r2cose + 2sino

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Q: 5.5x-2 dx

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A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

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Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: Given:         Density of Liquid ρ=9000 N/m3          Sides of triangle a=2 m     The expression for…