Question
14. Find the volume of the solid created by revolving the shaded region given below about the x axis
using the disk method
+2-2
0
Expand
Transcribed Image Text

14. Find the volume of the solid created by revolving the shaded region given below about the x axis using the disk method +2-2 0

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

Integration

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: The total profit (in dollars) from the production and sale of x calendars if P(x)= 22x-0.02x2-500; 0...

A: It is given that, the total profit from the production and sale of x calendar is P(x)=22x–0.02x2–500...

Q: Determine if y=ex −7x−4 is a solution to y′−y=7x−3.

A: To test whether the given function y(x) is a solution of the given differential equation

Q: Help with #10

A: The acceleration of the moving particle is given by,a(t)=2ti+etj+cos(t)k       To find the velocity ...

Q: 150 100 50 20 40 60 3. Suppose that a population develops according to the logistic equation (c) Use...

A: Given that a population develops according to the logistic equation

Q: Part d and e

A: (D) When the enclosed region revolve about x=2 line then the radius is on the line joining (2,0) and...

Q: Use the substitution formula Integral from a to b f left parenthesis g left parenthesis x right pare...

A: Obtain the value of the integral as follows.

Q: Show that f(x, y) = ln(x2 + y2) solves Laplace's equation, ∂2z ∂x2  +  ∂2z ∂y2  = 0...

A: Given Laplace’s equation is 

Q: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(3x + 3)−1 − 1000 where x i...

A: The revenue from the sale of a product is, in dollars,R = 1500x + 3000(3x + 3)−1 − 1000where x is th...

Q: A boat on the ocean is 2 mi. from the nearest point on a straight shoreline; that point is 13 miles ...

A: According to the question, x is the distance between the nearest point on a shoreline and the point ...

Q: a. Determine whether the Mean Value Theorem applies to the function f(x)= ex on the given interval [...

A: Definition used: Mean Value Theorem

Q: The growth of Mary's income is modelled using the continuous stream f(t)=3,000+0.05t2 where t is the...

A: Given:The growth of Mary’s income is represented by the continuous stream f(t)=3000+0.05t2.Here, t r...

Q: lim x→3(2x3 -12x2 +5x+3)

A: We have to evaluate the limit as shown on white board.Let’s call (2x3  - 12x2  + 5x + 3) as f(x)

Q: How can I get the result? Which is the result?

A: We have to find limits.Question is given below:

Q: The region is formed by the graphs of y 4x and y 12-x. Find the volume of the solid obtained by revo...

A: For the shaded part the outer radius = 12-x and inner radius = 4sqrt(x).  

Q: The DeWitt Company has found that the rate of change of its average cost for product is C'(x)=(1/4)-...

A: Given information:The DeWitt Company has found that the rate of change of its average cost for produ...

Q: How to convert percentage to ratio?

A: In this question we have to explain how to convert the percentage in fraction form.

Q: suppose the line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the line tang...

A: Given information:The line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the...

Q: Sketch the region of integration and evaluate the following integrals. Please refer to attached imag...

A: Click to see the answer

Q: Given f(x) = x^3 + 3x - 2 , find y = (f ^-1 (x))' at the point (2,1)

A: Click to see the answer

Q: G(x) = ∫^1vx xt2 dt (1 is the number on top of the integral sign, x on the bottom)

A: Given integral is:Solving the indefinite integral: The antiderivative of a function of the form xn i...

Q: 5 dx In 26 In 24 '을 In 24 글 In 26 none of the above

A: Obtain the value of the integral as follows.

Q: 1000 Find the marginal cost when q = 10. 9 The average coste for producing q units of a product is g...

A: The average cost c is given by ,

Q: For each of the following integrals, indicate whether integration by substitution or integration by ...

A: Known fact:Integration by parts:When an integral contains the product of two functions, then integra...

Q: Product Radius (inches) Height (inches) Volume (cubic inches) Baking power 1.25 3.65 ...

A: Assuming all the items are in cylindrical shape. Look for the coffee can: The volume V is 62.12 in3;...

Q: what are the steps to solving |x-4| > 9

A: We have to solve the inequality.Inequality is given below:

Q: Need a,b, and c please!

A: The given equation is s = –0.2t2 + 12t and the velocity is v =12 m/s. a. Obtain the velocity v of th...

Q: An object is thrown straight up with a velocity, in ft/s, given by v(t)32t +53, where t is in second...

A: a)The given velocity function is v(t) = −32t + 53.In order to find the initial velocity, substitute ...

Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by abo...

A: Click to see the answer

Q: Find the relative maxima, relative minima, and points of inflection, and sketch the graph of the fun...

A: Please see the white board for derivative of y, expressed as y'

Q: Logarithmic Differentiation - See attachment

A: Find the derivative of the given function.

Q: How can I get the result? Which is the result?

A: In a graph, a function is said to be increasing if it is rising from left to right and is said to be...

Q: Find the arc length of the curve below on the given interval 3 /2 on (0,10] y 2x Which of the follow...

A: Click to see the answer

Q: 13. A 13 foot sliding ladder is leaning against a house when its base starts to slide away. By the t...

A: We are given diagram as

Q: how do i get number 3

A: Expanded the expression of f(x) first then used the exponent rule to find the derivatives. 

Q: Only problem I'm stuck on for this assignment please help!

A: Hi there! The question is having many sub-parts. Since no specification is given, only first three s...

Q: The consumer price index (CPI) measures how prices have changed for consumers. With 1995 as a refere...

A: Given:The rate of change of CPI in dollars per year is dC/dt= 0.009t2 − 0.096t + 4.85, where t repre...

Q: Find the aveage temperature in the box. Please refer to image. The bounds of x are 0 and ln3 The bo...

A: Given information:The given temperature distribution is T(x,y,z)=15e-x-y-z.

Q: Let (0 ifx-5 f(x) 0 ifz 4 and 9(x)-f(t)dt 5 Determine the value of each of the following (d) g(5) (e...

A: The functions are given as

Q: Find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find  the slope of the secant line between x=2 and x=5 on the graph of the function f(x)....

Q: b) and c) I tried doing it the same way I did the first one...

A: we are given rate functions as

Q: Help me please..

A: The Taylor series for cosx at x=0.