15. Yogurt containers can be shaped like frustums. Rotate the line y = x around the y- axis to find the volume between y = a and y = b. The variable m is any positive integer. m Am a. mm² 3 (b³-a³) units³ C. (b³-a³) units³ b. m² (b³ + a³) units³ mm² m2 d. (-b³ + a³) units³

15. Yogurt containers can be shaped like frustums. Rotate the line y = x around the y- axis to find the volume between y = a and y = b. The variable m is any positive integer. m Am a. mm² 3 (b³-a³) units³ C. (b³-a³) units³ b. m² (b³ + a³) units³ mm² m2 d. (-b³ + a³) units³

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Answer the following with the correct letter. If the answer is not on the choices given, indicate the correct answer. Show formal solution comprehensively and legibly (only applicable to computational items).

15. Yogurt containers can be shaped like frustums. Rotate the line y = x around the y-
axis to find the volume between y = a and y = b. The variable m is any positive integer.
m
m² (b³-a³) units³
TM
a.
C. (b³ - a³) units³
3
3
b.
m² (b³ + a³) units³
d.
πης
(-b³ + a³) units³
3
3
16. The arc length is defined as if y=f(x) is a smooth curve on the interval [a,b] then the
arc length L of this curve is defined as
2
2
a. L=1+
dx
C. L = 1 +
dx
dy.
b. L = fo 1 +
-(2x)² dy
d. L = √√√1-
dx
_17. Find the arc length of the curve y = (x - 1)2 on the interval [a,b].
dx.
2

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