(a) The volume V of a growing spherical cell is
V = 4/3pr3,
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 3 to each of the following. (Round your answers to one decimal place.)
(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 r when r = 3 µm. (Round your answer to one decimal place.)
V'(3) = µm3 / µm

(i)=263.9 micrometer square

(ii)=155 micrometer square

(ii)=116.9 micrometer square

(b).37.7 micrometer square

Step-by-step explanation:

Given,

Average rate of change  V  with respect to  a to b  where a and b are radius

(i)  3 to 6 micrometer

      micrometer square

(ii)  3 to 4

 micrometer square

(iii) 3 to 3.1

micrometer square

(b) At r=3 micrometer

Instantaneous rate

micrometer square

micrometer square

468

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.