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6 Nov 2019
(a) The volume V of a growing spherical cell is
V = 4/3pr3,
where the radius is measured in micrometers (1 µm = 10-6m). Findthe average rate of change of V with respect to r when r changesfrom 3 to each of the following. (Round your answers to one decimalplace.)
(i) 3 to 6 µm
.......µm3/µm
(ii) 3 to 4 µm
......µm3/µm
(iii) 3 to 3.1 µm
.....µm3/µm
(b) Find the instantaneous rate of change of V with respect to rwhen r = 3 µm. (Round your answer to one decimal place.)
V'(3) = ......µm3 / µm
(a) The volume V of a growing spherical cell is
V = 4/3pr3,
where the radius is measured in micrometers (1 µm = 10-6m). Findthe average rate of change of V with respect to r when r changesfrom 3 to each of the following. (Round your answers to one decimalplace.)
(i) 3 to 6 µm
.......µm3/µm
(ii) 3 to 4 µm
......µm3/µm
(iii) 3 to 3.1 µm
.....µm3/µm
(b) Find the instantaneous rate of change of V with respect to rwhen r = 3 µm. (Round your answer to one decimal place.)
V'(3) = ......µm3 / µm
V = 4/3pr3,
where the radius is measured in micrometers (1 µm = 10-6m). Findthe average rate of change of V with respect to r when r changesfrom 3 to each of the following. (Round your answers to one decimalplace.)
(i) 3 to 6 µm
.......µm3/µm
(ii) 3 to 4 µm
......µm3/µm
(iii) 3 to 3.1 µm
.....µm3/µm
(b) Find the instantaneous rate of change of V with respect to rwhen r = 3 µm. (Round your answer to one decimal place.)
V'(3) = ......µm3 / µm
Beverley SmithLv2
15 Jul 2019
