Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 2 (3y)^1/2,  x = 0, y = 7; about the y-axis     V =  Sketch the region.

Q: ā xb = 6 x a а

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A: Please see the solution given in step 2

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A: Follow the procedure given below.

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A: We have to solve above question 

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A: We have to find the value of x' at point (-2, -6) 

Q: For the following functions. Please show all evidence. (a) Identify all local extrema, (max or min.)...

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Q: Find the derivative of the function. y = a6 + cos6 x y'(x) =

A: Given

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Q: Test the series for convergence or divergence. 1.9. 17 · 25 7. 12 · 17 · 22 1 1.9 1.9. 17 + 7. 12 · ...

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Q: Differentiate. y = In (8x? -7x+8) y':

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Q: 2. Let f(t) be a continuous function on the interval [0, 27]. Suppose the 1st order Fourier approxim...

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Q: Given P(x) = x³ + 2x? + 4x + 8. Write P in factored form (as a function with a product of linear fac...

A: Given p(x)=x^3+2x^2+4x+8.

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A: Given: limx→01-cosxsinx

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A: Follow the procedure given below.

Q: The line tangent to the graph of g(z) =z- 4z +1 at the point (2, 1) is given by the formula L(z) = 8...

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Q: Calculate the limit or show it is nonexistent. ry²e lim (r,y)→(0,0) x² + 4y4

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Q: A time study showed that, on average, the productivity of a worker after t hours on the job can be m...

A: The productivity of the worker after t hours is given by: P(t)=21t+6t2-t3, 0≤t≤8 where P is the numb...

Q: Use the substitution method to find the power series representation of the function using the formul...

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Q: hi

A: 1232Now,32 = 2×2×2×2×2 =4×4×232 = 4×4×2 = 42

Q: Evaluate the integrals C f (z) dz, where C is the unit circle centered at the origin and f (z) is g...

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines.

Q: Find the distance between (1, 2, 3) and (-1, 3, 4)

A: Consider the points  1,2,3  and   -1,3,4  

Q: Evaluate the limit lim CSC X

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Q: 1) appropriate and explicit substitution: Reduce the following integrals to polynomial type integral...

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Q: popsicle is taken out of the freezer with an internal temperature of 32◦F and is allowed to warm in ...

A: Given problem:- A popsicle is taken out of the freezer with an internal temperature of 32◦F and is a...

Q: Use y - x(x - 5)2 and its derivative dy - 5x(x - 3)(x - 5) to find each of the following. 18 dx 18 F...

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Q: Describe the level surfaces of the function f (x, y, z) = y2 + z2.

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Q: x-7x3+101 g(x) = ズー1

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Q: Find the linearization L(x) of the function at a. f(x) = –9x?, a = -9 L(x) =||

A: Given:- The function is, f(x)=-9x2 To find: - The linearization L(x) of the given function at a=-9

Q: 2. Use the following information to write out the polynomial functions in factored form. Sketch a gr...

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Q: 21. 22. (D' + D - 9D' – 13D² + 8D + 12)y 0. Ans. y Ce+cze

A: We will solve the given differential equation.Below find the solution in the image.

Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future v...

A: P=$350 r=0.0272 T=12years Formula used A=P((1+(r/n))^(n*t))

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Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

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Q: Suppose f(x)=x−4/x+1. Write an expression in terms of xx and hh that represents the average rate of ...

A: This question can be solved by applying the formula of average change in a closed interval.

Q: Given the graph of f, find any values of x at which f'is not defined. 1 -2

A: Graph of the function is given, we have to find the values of x for which f'(x) is undefined

Q: Suppose it is known that for a given differentiable function y = f(æ), its local linearization at th...

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Q: Find the linearization L(x) of the function at a. 9 f(x) = a = 3 - L(x) =

A: We have to find the linearization L(x) of the function at a.  We have, f(x)=9x and a = 3 

Q: Suppose that the average cost, in dollars, of producing a shipment of a certain product is 48,000 C=...

A: Given average cost function C=3000x+48000x

Q: Express the surface area of revolution for: x = (y^4/4) + 1/(8y^2), 1 ≤ y ≤ 2; x@axis ( Express ds= ...

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Q: Perform the following operation with the vectors а3(2. о, з>. ь-(з. 1, 2) %D |2a– 3b|

A: Given that: a=<2, 0, 3> and b=<3, 1, 2>

Q: A function f is differentiable at a number a.. A. ... if lim f(x) = f(a), f(z) – f(a) B. ... if lim ...

A: topic - condition for differentiable function

Q: # 00 R #3 The temperature, H, in degrees Fahrenheit (°F), of a can of soda that is put into a refrig...

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Q: The plane containing the three points (2, –1, –1), (2, 1, 8) and (1, 0, 6). Please write th

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Q: If f(z) = 2z2 + 6z + 3, find f'(-1), using the definition of derivative. f'(-1) is the limit as z of...

A: We have to find limit and tangent line

Q: A. ā xb = b x ā B. Jā + 5| = |a + b| C. It is possible for la + b| < [ā|

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