The area between curve y = x(4 x) and the x-axis is rotated through 360 about
Question:
The area between curve y² = x(4 − x)² and the x-axis is rotated through 360° about the x-axis. Find the exact value of the volume of the solid of revolution formed by this rotation.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
To find the volume of the solid of revolution formed by rotating the area between the curve y x4 x a...View the full answer
Answered By
Rodrigo Louie Rey
I started tutoring in college and have been doing it for about eight years now. I enjoy it because I love to help others learn and expand their understanding of the world. I thoroughly enjoy the "ah-ha" moments that my students have. Interests I enjoy hiking, kayaking, and spending time with my family and friends. Ideal Study Location I prefer to tutor in a quiet place so that my students can focus on what they are learning.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
Question Posted:
Students also viewed these Mathematics questions
-
The area bounded by the curve y = 15kx 15x and the x-axis is rotated through 360 about the x-axis, where k is an integer. The volume of the solid formed is 240. Find the value of k.
-
The diagram shows part of the curve y = cos x + 2 sin x. Find the exact volume of the solid formed when the shaded region is rotated through 360 about the x-axis. 0 0 2 B MAX
-
The region bounded by the curve 4y = x, the line x = 4 and the line y = 1, is rotated through 360 about the x-axis. Find the volume of the solid formed.
-
Which of these statements is false? A. Assets = Liabilities + Equity B. Assets Liabilities = Equity C. Liabilities Equity = Assets D. Liabilities = Assets Equity
-
Satu Company, a merchandiser, recently completed its 2015 operations. For the year, (1) all sales are credit sales, (2) all credits to Accounts Receivable reflect cash receipts from customers, (3)...
-
A refrigerator is rated at 370 W. (a) What is the maximum amount of heat it can remove in 1 min if the inside temperature of the refrigerator is 0 o C and it exhausts into a room at 20 o C? (b) If...
-
What form of representation would you recommend for this new market or would you consider setting up a manufacturing subsidiary? Give reasons for your decision.
-
The cash data of Richmond Automotive for June 2014 follow: Richmond Automotive received the following bank statement on June 30, 2014: Additional data for the bank reconciliation include the...
-
What strategies can organizations implement to proactively manage and resolve conflicts among employees, teams, and stakeholders, and how can organizational culture foster constructive approaches to...
-
A nutrition plan app has a subscription that costs $10/month. The following chart gives average historical renewal rates for subscribers based on how many months they have been a subscriber. Month 1...
-
Find the area bounded by the curve y = 3x 2x + 1, the x-axis and the lines x = 1 and x = 2.
-
Find the area enclosed by the curve the line x = 1/2 and the line x = 4. y = 2x +3 x
-
Assume the following for a one-year rate adjustable rate mortgage loan that is tied to the one-year Treasury rate: Loan amount: ............... $150,000 Annual rate cap: .............. 2%...
-
Which of the following rotors are used in a two phase AC servo motor? 1. Solid iron 2. Squirrel cage 3. Drag cup. Select the correct answer using the codes given below: Codes: (a) 1, 2 and 3 (b) 1...
-
Sketch the root loci for the system shown in Fig. P5.4 (a) and show that system is stable for all \(\mathrm{K}>0\). R(s) K (s + 0.4) s(s+3.6) (a) Y(s) -3.6 -4 K = 0 60 -2 Fig. P5.4: (a) System (b)...
-
Compare the control account of Table 7.8 with the finished goods account of Table 7.3 to satisfy yourself that they are the same. Then satisfy yourself that the separate job accounts in Table 7.8 add...
-
Compare the control account of Table 7.6 with the production overhead account of Table 7.3 to satisfy yourself that they are the same. Then satisfy yourself that the separate wages accounts in Table...
-
The straight line approximated torque-speed curve of AC servo motor for rated control voltage \(115 \mathrm{~V}, 50 \mathrm{~Hz}\) is shown in Fig. P9.4. The moment of inertia of motor is \(10^{-5}...
-
What are [Sr2+] and [SO42] in a saturated solution of SrSO4(s)? The Ksp of SrSO4(s) is 3.8 104.
-
Apply Jacobis method to the given system. Take the zero vector as the initial approximation and work with four-significant-digit accuracy until two successive iterates agree within 0.001 in each...
-
Refer to Exercise 21.19. a. Find the probability that the x chart does not detect a shift of .75 standard deviation on the first sample after the shift occurs. b. Compute the probability that the x...
-
The company is considering changing the sampling plan so that 20 components are sampled every hour. What is the average number of units produced until the chart indicates that the process is out of...
-
Refer to Exercise 21.17. Find the average run length to detect the shift. A firm that manufactures notebook computers uses statistical process control to monitor all its production processes. For one...
-
In Zen Buddhism there is a family koan, or riddle, that says, last night I dreamt I was a butterfly. How do I know today that I am not a butterfly dreaming I am a man? Can you relate this to the idea...
-
A local store that has some employees. The wages earned by employees for September total 1 5 0 , 0 0 0 . The Social Security tax rate is 6 . 2 % the medicare tax rate is 1 . 4 5 % , and the...
-
What are the emerging threats to data integrity in modern cybersecurity, and how can organizations proactively defend against these risks ?
Study smarter with the SolutionInn App