Practice Test 1 Math 1960

# Practice Test 1 Math 1960 - Practice Exam 1 Math 1960 SHORT...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Practice Exam 1 Math 1960 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x—axis. 1)y=x2+3.y=4x+3 1) t 5 Find the volume of the solid generated by revolving the region about the given line. I O 3‘33 2) The region bounded above by the line y = 16, below by the curve y = 16 — x2, and on the 2) 5 right by the line x z 4, about the line y = 16 Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x—axis. ﬁll“ 3)x=2t\/y,x=-2y.y=1 3)__L6+_ Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method. (9mg? 4) The triangle with vertices (0. 0). (0, 2), and (4. 2) about the line x z 4 Find the length of the curve. 5) x=4sint+4t.y=4cost,05t:sit 6)y=2x3/2frornx=0tox:—:- 7)x=%-(y—1)3/2fromy=16toy=25 Find the area of the surface generated by revolving the curve about the indicated axis. - _ e I i 8) y = x3/14, 0 5 x :5 4; x—axis 8) 9) x=y3/9, Oeyez; y—axis 9) 5' Find the area of the surface generated by revolving the curves about the indicated axis. m Tie 10) x = sin t, y = 7 + cos t, O 5125 2n; Xmaxis 10) ’1 Solve the differential equation. .. L 2 ‘ “w” 11) 92’. = .521... 11) 5% t C dx x Solve the problem. 12) In a chemical reaction, the rate at which the amount of a reactant changes with time is 12) i proportional to the amount present, such that ﬁg;- 2 -0.7y, when t is measured in hours. If there are 79 g of reactant present when t 2-: 0, how many grams will be left after 3 hours? Give your answer to the nearest tenth of a grain. 13) The spring of a spring balance is 7.0 in. long when there is no weight on the balance, and it is 9.2 in. long with 4.0 lb hung from the balance. How much work is done in stretching it from 7.0 in. to a length of 12.1 in? 14) A vertical right circular cylindrical tank measures 24 ft high and 16 ft in diameter. It is full of oil weighing 60 lb/ft3. How much work does it take to pump the oil to a leve12 ft above the t0p of the tank? Give your answer to the nearest ft - lb. pump the gasoline to a level 16 ft above the cone's top? Give your answer to the nearest ft - 1b. Find the center of mass of a thin plate of constant density covering the given region. 16) The region bounded by y = x2 and y = 9 ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern