(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

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(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
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(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
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9:36 PM
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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
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