(a) The volume V of a growing spherical cell is V = ³, where the radius is measured in micrometers (1 μm = 10-6m). Find the average rate of change of V with respe changes from 6 to each of the following. (Round your answers to one decimal place.) (i) 6 to 9 μm |um/um # (ii) 6 to 7 μm μm³/um (iii) 6 to 6.1 um um3/um (b) Find the instantaneous rate of change of V with respect to r when r = 6 μm. (Round your answer to one decimal place.) V'(6) = 1 um3 / um Submit Answer Need Help? Read It Type here to search (7 O 66°F Clear A Activate Windows Go to Settings to activate o 4) ENG

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
(a) The volume V of a growing spherical cell is V = ³, where the radius is measured in micrometers (1 μm = 10-6m). Find the average rate of change of V with respect to r when r
changes from 6 to each of the following. (Round your answers to one decimal place.)
(i) 6 to 9 μm
#
Tab
(ii) 6 to 7 μm
aps Lock
Esc
Submit Answer
(iii) 6 to 6.1 um
(b) Find the instantaneous rate of change of V with respect to r when r = 6 μm. (Round your answer to one decimal place.)
V'(6) =
Tum3 / um
Need Help?
um3/um
1
μm³/um
F1
Q
um3/um
Type here to search
Read It
F2
2
F3
#
3
O
WE
F4
$
4
E R
F5
C
%
5
T
F6
(
A
6
F7
Y
0
&
7
F8
U 4
*
8
F9
8
(
9
F10
66°F Clear
)
F11
0
A
O6 6 P
A S D F G H J K 2 L
3
Activate Windows
Go to Settings to activate Windows.
O
F12
4) ENG
9:36 PM
10/6/2022
U
Backspace
Delete
Enter
Transcribed Image Text:(a) The volume V of a growing spherical cell is V = ³, where the radius is measured in micrometers (1 μm = 10-6m). Find the average rate of change of V with respect to r when r changes from 6 to each of the following. (Round your answers to one decimal place.) (i) 6 to 9 μm # Tab (ii) 6 to 7 μm aps Lock Esc Submit Answer (iii) 6 to 6.1 um (b) Find the instantaneous rate of change of V with respect to r when r = 6 μm. (Round your answer to one decimal place.) V'(6) = Tum3 / um Need Help? um3/um 1 μm³/um F1 Q um3/um Type here to search Read It F2 2 F3 # 3 O WE F4 $ 4 E R F5 C % 5 T F6 ( A 6 F7 Y 0 & 7 F8 U 4 * 8 F9 8 ( 9 F10 66°F Clear ) F11 0 A O6 6 P A S D F G H J K 2 L 3 Activate Windows Go to Settings to activate Windows. O F12 4) ENG 9:36 PM 10/6/2022 U Backspace Delete Enter
Expert Solution
Step 1

According to question we need to find---

  • (a)  Find the average rate of change of V with respect to when

(1) 6 to 9 pm

(2) 6 to 7 pm

(3) 6 to 6.1 um

 

  • (b) Find the instantaneous rate of change of V with respect to when = 6 um. (Round your answer to one decimal place.)
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Half life
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON