For the solids of revolution, how do I know when to add or subtract from the axis of revolution such as when y=3, y=-2, or x=-2, x=2, for both disk, washer, and cylindrical shell method, when finding the volume?

Question

For the solids of revolution, how do I know when to add or subtract from the axis of revolution such as when y=3, y=-2, or x=-2, x=2, for both disk, washer, and cylindrical shell method, when finding the volume?

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: I need help checking my answers. Thank you for your help.

A: Click to see the answer

Q: Help with my study guide please.

A: If limit of nth term of an infinite series un is not equal to 0 as n approaches infinity, then the s...

Q: Evaluate the integral 6 dx (x+1) (x2+4)

A: Given,

Q: Can you help with this problem step by step?

A: Given function is

Q: dx Evaluate 25 121x2 dx 861890 25 121x2 (Use C as an arbitrary constant.)

A: The given integral is,

Q: One solution of the differential equation y" +y' = O is y = e. Use Reduction of Order to find a seco...

A: Click to see the answer

Q: If f'(1) = 1, f(2) = 3, f'(2) = -3, f'(4) = 10, g(1)= 4, g'(1) = 2, find (f o g)'(1) and (f(xg(x)))'...

A: Apply chain rule on to find (fog)'(1)then plug the given values. Answer: (fog)'(1) = 20

Q: ∫x3e-4x^4dx

A: We assume z= -4x^4 From there we find x^3*dx. 

Q: A right triangle has side lengths 8, 15, and 17 as shown below. Use these lengths to find tan B, sin...

A: To determine the basic trigonometric ratios of the given angles

Q: see attachment

A: Part(a):Given:

Q: see attachment

A: Click to see the answer

Q: Find the intervals on which is increasing or decreasing. Find the local maximum and minimum values...

A: Refer to the question , we have been provided with the function , f(x) = cos2x-2sinx, 0<=x<=2p...

Q: Please answer question a, d, e, for this function:    f(x) = 1 + (1/x) - (1/x^2)

A: The given function is

Q: Find the minimum and maximum values of the function y = (4t2) 1/s critical points and endpoints. on ...

A: Considering the function y = (t -4t2)1/5 in the interval [-1,3].

Q: (x1) Solve the IVP: y/ , y (0) = 1 y2 O y22y( 1)3 9 O 3y2 6y 2 (x + 1)3 7 O y22y

A: It is given that,

Q: The initial size of a particular substance is 75. After 3 hours the substance count is 4500. 6. Find...

A: We are given that the initial size of a particular substance is 75 and after 3 hours the substance c...

Q: Q 9. (a) Find the inverse function of cosh(x). (Hint set z = e and invert that. Then replace e for z...

A: (a)Find the inverse function of cosh(x)

Q: check my answer 5x+3y=-6 x=3 2x-3y=27 y=-7

A: Given system of equations are 

Q: how do you indicate the derivative with any method: g(t) = 3/t^5; estimate g'(1)

A: Write g(t) using negative exponents to get rid of the fraction. Then use exponent rule. d/dx(x^n)=n*...

Q: Find the derivative F(x)=x^3(x4/3 -1)

A: Please see the white board.Recall the famous rule of differentiation: d(xn) / dx = nxn-1

Q: Identify the curve by finding a Cartesian equation for the curve. 18. θ = π/3

A: Given that

Q: H(x)= x^5 arctan 5x find the derivative of the function

A: The given function is,

Q: You are tasked with constructing a rectangular box with a square base, an open top, and a volume of ...

A: Click to see the answer

Q: see attachment

A: Graph the solution to the system of inequalities.

Q: step by step please  f(x)=a(b)x  the x at the end of that formula is an exponent of b , i believe

A: Substitute given two points to solve for a and b. 

Q: how to solve problem in photo attached

A: The given integral is,

Q: Evaluate the integral. ∫1/x2+25 dx

A: Consider the given integral:

Q: An arithmetic sequence is defined by Un=11n-7. a find U1 and d. b find the 37th term. c what is the ...

A: (a)Given:

Q: see attachment

A: Click to see the answer

Q: For arbitray values of K and b, when does the maximum growth rate occur (in terms of K and b)? P(t)=...

A: Compute first derivative as follows.

Q: Maximize z 24x4 +5x2 subject to: 6x1+4x2 s5 X1 + 4x2 s10 x1 20, x2 20. Use the simplex method to sol...

A: Refer to the question, we have been provided with the following objective functions and constraint a...

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=3-2lnx; x=...

A: To determine equation of tangent line at given point.

Q: Find the centroid of the region bounded by the following curves: y = (1/2)x and y = sqrt x

A: Given equations of the curve: 

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: The problem conerns applying chain rule by expressiong f(x) as a composite function f(x)=g(h(x)). We...

Q: Find the critical points for the function: f(x,y)=x3+y3-9x2-48y-3 and use the Second Derivative Test...

A: To determine the critical points for the function and classify the critical points.

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) e9x e~x (a) Find the int...

A: NOTE: As you have posted a question with multiple subparts, we will answer the first subpart as per ...

Q: Find the particular solution of the differential equation dy/dx+ycos(x)=4cos(x) satisfying the initi...

A: Given differential equation is,

Q: Help

A: In such problems ie second order linear differential equations when we are given one solution,y1 we ...

Q: Suppose the derivative of a function f is f'(x) = (x + 2)°(x - 4)5(x - 7)8. On what interval is f in...

A: Given,

Q: how to solve problem in photo attached

A: Given:

Q: Q5. A particle moves alonga straight line with displacement s(t), velocity v(t), and acceleration dv...

A: It is known that,