Suppose f(x) = 2 + 8x². Determine, in a simplified form, each of the following: (a) f(a) = (b) f(a+h) = (c) f(a+h)-f(a) h =

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A: We are given a differential equation: 7y'+y=0.We have to verify that the given function y=e-x/7 is…

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A: To find the value (s), for which the function fx=Aekx, where A is some  constant, satisfies the…

Q: (ii) y = e2x cos(1+2x²) (1+2x²)

A: y=e2xcos1+2x21+2x2

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A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: If C(x)= 17,000+600x - 2.8x² + 0.004x³ is the cost function and p(x) = 4,200- 7x is the demand…

A: We have given the cost function C(x) = 17,000 + 600x − 2.8x2 + 0.004x3  and demand function p(x) =…

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A: Since you posted multiple subparts, I need to solve only first three subparts.

Q: Solve the equation and write complex solutions in standard form. x²-18x+91=0

A: Our Aim is to solve the equation given below and write complex solutions in standard form.Since, the…

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Q: 2. A manufacturer wants to make cylindrical cans. Each must be able to hold 1200 cubic cm ofliquid.…

A: Let radius of cylinderical cans=x cm Let height of can =h cm

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A: we have integration =∫5x2+20.5x3+0.6xdx

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A: z=ln4x+3y ,x=s sint ,y=t coss

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A: Note : As per our Guidelines , we can solve first part as your all parts not too small . Please…

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A: A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material…

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A: Graph

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Q: Without a calculator work out the value of 5632–1402 1128 – 1 10 4 Please share your mettrod.

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A: limx→3π2sin2x+6sinx+5sin2x-1

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A: Given that ddxfxx+3x=4

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A: The answer is in step 2.

Q: 23. an n √n² +1

A: We take n common from the root and then apply limit to find the vale of limit.

Q: 10Let C be the curve defined by the parametric equations x = t^3 - 3t + 2 and y = 3t^2 -9. a.…

A: As per guidelines we support only Frist three part of the questions.kindly repost in next request.

Q: Use the ratio test to determine whether n=17 n+7 n! converges or diverges.

A: By the answering guidelines of Bartleby, We can answer only first question from multiple questions,…

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Q: 71. an 1 1 √n² + n² vật thổ v2nt 8 ≤an ≤ 1 √²n²

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A: we have given rational root =12+174

Q: (b) (c) -2 (d) 1 f's 0 0 (a) f(x) dx = -2 -1 1 ['re f(x) dx = 2 fro -1 274 -2 f(x) dx = 10 f(x) dx =…

A: As per the guidelines we are supposed to solve only the first 3 subparts. Please repost the other…