🏷️ LIMITED TIME OFFER: GET 20% OFF GRADE+ YEARLY SUBSCRIPTION →

HomeStudy Guides420,000US230,000

MATH 141 Midterm: MATH141 PILACHOWSKI-T SPRING2007 0101 MID SOL

18 views2 pages

turquoisegnu128

15 Feb 2019

School

University of Maryland

Department

Course

Professor

For unlimited access to Study Guides, a Grade+ subscription is required.

silvergnu589 and 37238 others unlocked

$MATH 141 Full Course Notes$

MATH 141 Full Course Notes

Document Summary

Math 141 test 1: (15 points) let r be the region between the graph of (6. 1 6. 8) xf. Find the volume v of the solid obtained by rotating r about the x-axis. (you must show integral-calculus work and state a numeric answer in simplest form to receive full credit. ) radius of circular cross-section = f, so r. )122: a. (15 points) the base of a solid s is a circle with equation x. Write the integral you"d need to find the volume of s. do not evaluate. domain of x = [ 3, 3]; circle (base) is on both sides of x-axis so side of square (cross-section) = 2y = 2 x dx b. (4 extra points) the base of a solid t is a circle with equation x. The cross-sections are isosceles right triangles with one of the legs on the base. How would t"s volume be related to the volume of s found in question 2. a.

Related textbook solutions

Calculus

ISBN: 9781319050733

Single Variable Calculus: Early Transcendentals

4th Edition, 2018

ISBN: 9781337687805

CALCULUS:EARLY TRANSCENDENTALS

ISBN: 9781319050740

Related Documents

MATH 141 Midterm: MATH141 PILACHOWSKI-T SPRING2007 0101 MID EXAM

turquoisegnu128

MATH 141 Midterm: MATH141 PILACHOWSKI-T SPRING2007 0101 MID SOL 2

turquoisegnu128

MATH 141 Midterm: MATH141 PILACHOWSKI-T FALL2004 0101 MID SOL

turquoisegnu128

Related Questions

I need help solving some problems including area bounded by aregion and volume by cylindrical shells.

1) y = 3/x

y=12x

y=1/12x

x>0

2)
Find thevolume V of the solid obtained by rotating the regionbounded by the given curves about the specifiedline.

y=4-(1/2x)

y=0

x=2

x=3

rotated about xaxis

3)Find thevolume V of the solid obtained by rotating the regionbounded by the given curves about the specified line.
x = 4sqrt(5y)

x=0

y=3

rotated on y axis

4)Find the volume V of the solid obtained by rotatingthe region bounded by the given curves about the specifiedline.
y = ln3x

y =4

y =5

x = 0

rotated on yaxis

5)
Find the volume V of the solid obtained by rotating theregion bounded by the given curves about the specified line.

y =3x⁵

y =3x

x Ã¢â°Â¥ 0

rotated on X axis

6)
Find the volume V of the solid obtained by rotating theregion bounded by the given curves about the specifiedline.

y² = 2x
x = 2y

about the y-axis

7)A CAT scan produces equally spaced cross-sectional views of ahuman organ that provide information about the organ otherwiseobtained only by surgery. Suppose that a CAT scan of a human livershows cross-sections spaced 1.5 cm apart. The liver is 15 cm longand the cross-sectional areas, in square centimeters, are 0,17, 58, 79,95, 107, 118, 129, 64, 39,and 0. Use the Midpoint Rule with n = 5 to estimate thevolume V of the liver.

8)
Let S be the solid obtained by rotating the region shown inthe figure about the y-axis. (Assume a = 7 and b = 2.)
y=ax(x-b)^2
What are its circumference c and height h?
Use shells to find the volume V of S.

9) Let S be the solid obtained by rotating the region shownin the figure about the y-axis. (Assume a = 4 andb = 2.)
y=asin(bx^2)

What are its circumference c andheight h?
Use shells to find the volume V of S.

10)Use the method of cylindrical shells to find the volumegenerated by rotating the region bounded by the given curves aboutthe y-axis.

y = 2x²
y = 12x Ã¢Ëâ 4x^2

11)Use the method of cylindrical shells to find thevolume of the solid obtained by rotating the region bounded by thegiven curves about the x-axis.

xy = 3
x =0
y =3
y =5

12)
Use the method of cylindrical shells to find the volume V ofthe solid obtained by rotating the region bounded by the givencurves about the x-axis.

x + y = 5
x = 9 Ã¢Ëâ (y Ã¢Ëâ 2)²

13)Use the method of cylindrical shells to find the volume Vgenerated by rotating the region bounded by the given curves aboutthe y-axis.

y = 5x²
y = 0
x = 1