Question: Need help with practice problem! 1. Suppose S is the portion of the cylinder x2 + z2 : 9 that lies above the xy-plane and

Need help with practice problem!

1. Suppose S is the portion of the cylinder x2 + z2 : 9 that lies above the xy-plane and between the planes y = 4 and y = 4. In set notation: S : {(x,y,z) | x2 +22 : 9, z 2 O, 4 S y S 4}. (a) Find a vector valued function r (11,11) With appropriate restrictions on u and v that yields S. (b) Find the exact value of \"(x2 + y2 + 22) 015 . 5

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Calculus fx, y.2 ) dS 1. f(x, y. z) = z?; o is the portion of the cone z = vx2 + yz between the planes z = 1 and z = 2. 2. f(x, y. z) = xy; o is the portion of the plane x + y + z = 1 lying in the...

Find the area of the upper portion of the cylinder x 2 + z 2 = 1 fthat lies between the planes x = 1/2 and y = 1/2.

8. [0/1 Points] PREVIOUS ANSWERS SCALCET9 15.4.032. ASK YOUR TEACHER PRACTICE ANOTHER (a) A lamp has two bulbs, each of a type with average lifetime 1,700 hours. Assuming that we can model the...

Please answer both of these Use cylindrical coordinates. Evaluate x2 + y2 dV, where E is the region that lies inside the cylinder x2 + y2 = 4 and between the planes z = -5 and z = 3. Need Help? Read...

Need help we practice problem ! Thank you 3. Suppose that a lamina occupies the region I) in the xy-planc that is bounded by the semicircles given by y 2 V4 x2 and y = V] x:Z together with the...

MA 261 PRACTICE PROBLEMS 1. If the line ` has symmetric equations y x1 z+2 2 = 3 = 7 , nd a vector equation for the line `0 that contains the point (2; 1; 3) and is parallel to `. A. ~ = (1 + 2t)~...

2. [-/1 Points] DETAILS SCALCET9 16.8.006. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use Stokes' theorem to evaluate curl ( F ) . ds . F(x, y, z) = e *yi+ e*j + x2zk, S is the half of the ellipsoid...

\fCOMPLEX VARIABLES AND APPLICATIONS Eighth Edition James Ward Brown Professor of Mathematics The University of Michigan-Dearborn Ruel V. Churchill Late Professor of Mathematics The University of...

solve the answers handwritten but please type all the final answers together in the different section after solving. Thanks. 1. [-/1 Points] DETAILS SCALCET9 16.7.003. MY NOTES ASK YOUR TEACHER...

A sociologist is studying various aspects of the personal lives of preeminent nineteenth-century scholars. A total of 120 subjects in her sample had families consisting of two children. The...

Suppose that you are 25 years old. You figure that your income will be such that you will be able to save for the next 25 years, until age 50 (first deposit at age 26 and last deposit at age 50). At...

Solve the following exercise: We want to connect a PIC with another PIC serially via RS - 2 3 2 TTL . The exercise consists of a PIC 1 that handles the RGB standard to modulate colors in three LEDs,...

A hula hoop and solid disc of equal radii are rolled, from rest and without slipping, down an incline plane. Which one will reach the bottom of the inclined plane first? Explain.

(Ethics) Few trends could so thoroughly undermine the very foundation of our free society, writes Milton Friedman in Capitalism and Fieedom, as the acceptance by corporate officials of a social...

At the end of the current period, Jacob Inc. had a pro- jected benefit obligation of $400,000 and pension plan assets (at fair value) of $300,000. What are the accounts and amounts that will be...

At the end of the current year, Joshua Co. has prior ser- vice cost of $9,150,000. Where should the prior service cost be reported on the balance sheet?