Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Exercise 1. Find the volume of the solid obtained by rotating the region given by ,2-3,2-8, y=0 ym about the the z-axis. Exercise 2. Find the volume of the solid obtained by rotating the region given by √2+1,²-3,2-8,y=0 about the y-axis. y=

Exercise 1. Find the volume of the solid obtained by rotating the region given by ,2-3,2-8, y=0 ym about the the z-axis. Exercise 2. Find the volume of the solid obtained by rotating the region given by √2+1,²-3,2-8,y=0 about the y-axis. y=

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
Fast pls solve this question correctly in 5 min pls I will give u like for sure Mnty
Exercise 1. Find the volume of the solid obtained by rotating the region given by ₁x=3,x=8,y=0 about the the z-axis. Exercise 2. Find the volume of the solid obtained by rotating the region given by 1 z = 3, z = 8, y = 0 y= about the y-axis. Exercise 3. The base of S is the region R in the xy-plane bounded by the parabola y=4-2² and y=0. Cross-sections perpendicular to the y-axis are equilateral triangles.. Find the volume of S. y= Exercise 4. It took 35 J of work to stretch a spring from its natural length of 2 meter to a length of 3 meters. Find the spring constant k. Exercise 5. A leaky 10-kg bucket is lifted from the ground to a height of 12 m at a constant speed with a rope that weights 0.8 kg/m. Initially the bucket contains 36 kg of water, but the water leaks at a constant rate and nishes draining just as the bucket reaches the 12 m level, How much work is done? √T Exercise 6. A tank filled with oil is in the shape of a downward-pointing right rectanglar pyramid with its vertical axis perpendicular to ground level. The height of the tank is 8 feet, the square top of the tank has length 4 feet, and that the oil inside the tank weighs 55 pounds per cubic foot. 1. If the tank were completely full, how much work would it take to pump oil from the tank to the level at the top of the tank? 3. h(z) 2. If the tank were completely full, how much work would it take to pump oil from the tank to 3 feet above the top of the tank? L 3. If the tank is half full (volume), is it true that it will take half as much work to pump the water Explain your thinking. Exercise 7. Let f(x)=2x+1+sin(x). Find the equation of the tangent line of f(x) at z=1. Exercise 8. Differentiate the following functions: 1. f(z)-8 In(ln(4x)). 2. g(z) - In sin(x) ²√²-2 Exercise 9. Evaluate the following integrals: cos(2) de 4+2 sin(x) ut of the tank?
Transcribed Image Text:Exercise 1. Find the volume of the solid obtained by rotating the region given by ₁x=3,x=8,y=0 about the the z-axis. Exercise 2. Find the volume of the solid obtained by rotating the region given by 1 z = 3, z = 8, y = 0 y= about the y-axis. Exercise 3. The base of S is the region R in the xy-plane bounded by the parabola y=4-2² and y=0. Cross-sections perpendicular to the y-axis are equilateral triangles.. Find the volume of S. y= Exercise 4. It took 35 J of work to stretch a spring from its natural length of 2 meter to a length of 3 meters. Find the spring constant k. Exercise 5. A leaky 10-kg bucket is lifted from the ground to a height of 12 m at a constant speed with a rope that weights 0.8 kg/m. Initially the bucket contains 36 kg of water, but the water leaks at a constant rate and nishes draining just as the bucket reaches the 12 m level, How much work is done? √T Exercise 6. A tank filled with oil is in the shape of a downward-pointing right rectanglar pyramid with its vertical axis perpendicular to ground level. The height of the tank is 8 feet, the square top of the tank has length 4 feet, and that the oil inside the tank weighs 55 pounds per cubic foot. 1. If the tank were completely full, how much work would it take to pump oil from the tank to the level at the top of the tank? 3. h(z) 2. If the tank were completely full, how much work would it take to pump oil from the tank to 3 feet above the top of the tank? L 3. If the tank is half full (volume), is it true that it will take half as much work to pump the water Explain your thinking. Exercise 7. Let f(x)=2x+1+sin(x). Find the equation of the tangent line of f(x) at z=1. Exercise 8. Differentiate the following functions: 1. f(z)-8 In(ln(4x)). 2. g(z) - In sin(x) ²√²-2 Exercise 9. Evaluate the following integrals: cos(2) de 4+2 sin(x) ut of the tank?
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS