Consider the region R enclosed by y = r, y =-+2, y = -\/1- (x – 1)²: y R Set up the following integrals as one or more iterated integrals, but do not actually compute them: (a) [Sp (x +y) dy dr (b) SSa (z+y) dz dy

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A: Given:∠A=48°a=10b=12

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A: Use derivative for finding the marginal cost .

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A: The average value of f(x) in the interval a,b is given by, 1(b-a)∫abf(x)dx

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A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

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A: sum of number is 23 let a number = x  other number is 23 - x

Q: What number is in the tenths place - 7.2431?

A: Given Number                           7.2431

Q: Let u = 7i- 3j, v= i-j, and w= i+j. Find scalars a and b such that u = av + bw. a = b=

A: We will find a and b

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A: Given; f(x)=x+ln(x^2-1)

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Q: dy given the dx Use implicit differentiation to determine equation x? + y² = 4. dy dx

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Q: Write the function below in the form y = f(u) and u = g(x). Then find as a function of x. %3D y = V…

A: Given:        y  = 3x2-4x+2

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A: Here is the solution

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A: The solution is given in the next step.

Q: A particle moves with position function s = t4 - 4t3 - 8t2 + 25t, t2 0 (a) At what time does the…

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Q: Find the simplified difference quotient. f(x) = 2x +6

A: answer is in next step

Q: Complete the sigma notation for this series: 4 + 9 + 14 + . ...+ 294 + 299 n=1 A =

A: We have to find out A

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A: Topic:- calculus

Q: a) Eliminate the parameter to find a (simplified) Cartesian equation for this curve. (b) Sketch the…

A: We have to find a Cartesian equation for this curve and sketch the parametric curve.

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Q: evaluate the given limit. 5. lim xcosx X00

A: Given:      limx→∞x1cosx

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A: We have to find out the continuous property

Q: [6]. Consider the following set of parametric equations: x = r° - 3t y = 312 – 9 On which intervals…

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Q: 3) y"+2y'-8y 0, y(0) = 1, y'(0) = 8.

A: Given:y''+2y'-8y=0y(0)=1 y'(0)=8

Q: x-3 dx r³+9x +9.x

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Q: Find the number(s) b such that the average value of f(x): f(x) = 6x2 42x + 70 on the interval (0, 6…

A: To find the value b.

Q: Evaluate the given imit 1. lim (x-1)? 2 メ→! In x 2. lim 3X - 2 × 3. lim (4x+1) ot x

A: As per guidelines, I can answer only one question. Since you have asked for multiple, So I did first…

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Q: 1. When do find a volume by the slic (a) A type I region rotated abou (b) A type I region rotated…

A: Given question:- When do find a volume by the slicing method? Circle all that apply.

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A: Given that  Radius of sphere = R       and Find volume of liquid  at height at R/2.

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Q: Given f'(x)=-+e²2* +x² and_f (1) = +x*and f(1)=. Find f(x) 5.

A: