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anonymous
 one year ago
I am asked to find the change of A with respect to r, when r=4
the problem reads:
A=2700[1+(r/1200)]^96
The available choices are:
A) dA/dr= 297.3
B) dA/dr= 216.72
C) dA/dr= 217.44
D) dA/dr= 296.31
I don't understand how to do this even after substituting 4 for the r
anonymous
 one year ago
I am asked to find the change of A with respect to r, when r=4 the problem reads: A=2700[1+(r/1200)]^96 The available choices are: A) dA/dr= 297.3 B) dA/dr= 216.72 C) dA/dr= 217.44 D) dA/dr= 296.31 I don't understand how to do this even after substituting 4 for the r

This Question is Closed

welshfella
 one year ago
Best ResponseYou've already chosen the best response.4what do you get for dA/dr ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Use a order of operation. PEMDAS First to do is the paratheis

welshfella
 one year ago
Best ResponseYou've already chosen the best response.4you need to find the derivative of A

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do I find a derivative of something with no variable?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(1.003)^96=96.288 96.288*2700=259977.6

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes the variable is r, and r is 4

welshfella
 one year ago
Best ResponseYou've already chosen the best response.4that's not the way to do this you need to find a rate of change so you differentiate

welshfella
 one year ago
Best ResponseYou've already chosen the best response.4You are working out A not dA/dr

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how would I work our dA/dr?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.4dA / dr = 2700* 96(1 + r/1200)^95 * 1/1200

welshfella
 one year ago
Best ResponseYou've already chosen the best response.4 use the chain rule

welshfella
 one year ago
Best ResponseYou've already chosen the best response.4so plug in r = 4 and you have your answer

welshfella
 one year ago
Best ResponseYou've already chosen the best response.4You'll need a calculator for that , of course

welshfella
 one year ago
Best ResponseYou've already chosen the best response.4It comes to one of the choices

welshfella
 one year ago
Best ResponseYou've already chosen the best response.4If you have a graphical calculator you can just type it in as above otherwise it might be better to work out the parentheses first then the exponential (^95), then multiply by 2700 , by 96 and then divide by 1200

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wow, I have no idea how you figured out how to do it like that, but it works. I will be thinking about this one all day. Thanks

welshfella
 one year ago
Best ResponseYou've already chosen the best response.4the derivative dA/dr gives you the rate of change of area with respect to r. by plugging in r = 4 you get the rate of change when r = 4.
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