Solve the problem.An element decays at the rate of S(t) = se-0.039t, where t is time in years and s is the initial size in grams. If you have a 89-gram piece of this element, how many grams will you have 4 years from now? Round your answer to the nearest tenth of a gram.
A. 42.8 g
B. 104.0 g
C. 0.9 g
D. 76.1 g
Answer: D
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Divide.5.89 ÷ (-10,000)
A. -0.0000589 B. -0.000589 C. -0.00589 D. -0.0589
Find all the first order partial derivatives for the following function.f(x, y, z) = ln (xy)z
A. 
= - 
; 
= - 
; 
= ln xy
B. 
= 
; 
= 
; 
= z ln (xy)z-1
C. 
= z ln 
; 
= zln
; 
= ln xy
D. 
= 
; 
= 
; 
= ln xy
Provide an appropriate response.For the function given, show how you would find the average rate of change using the difference quotient. f(x) = 16 + 2x
What will be an ideal response?
Solve the problem.The pressure of a gas varies jointly as the amount of the gas (measured in moles) and the temperature and inversely as the volume of the gas. If the pressure is 
(kiloPascals) when the number of moles is 6, the temperature is 
, and the volume is 
, find the pressure when the number of moles is 4, the temperature is 
, and the
volume is 
.
A. 1560
B. 1500
C. 750
D. 720