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Help On Ap Calc Hw

if a snowball melts so that it surface area decreases at a rate of 1 cm^2/min, find the rate at which the diameter decreases when the diameter is 10 cm.

i get -1/40pi (it decreases)

thx flamedagger! also i need help on this one. http://www.basilmarket.com/forum/2532304

October 22, 2012

10 Comments • Newest first

AwakenedSoul

[quote=Vanta]Man I always hated these types of problems... Except my calculus teacher gave us problems like "Gravel is being unloaded from a truck in the shape of a cone at ... cm^3/sec."

It will get much worse by the way. I took AP Calculus last year in high school and this year in college I feel like all of that was extremely basic material.[/quote]

that's one my problems too lol, but it was odd so i could check my answer

Reply October 23, 2012
LowWillpower

[quote=Vanta]Man I always hated these types of problems... Except my calculus teacher gave us problems like "Gravel is being unloaded from a truck in the shape of a cone at ... cm^3/sec."

It will get much worse by the way. I took AP Calculus last year in high school and this year in college I feel like all of that was extremely basic material.[/quote]
I found my 1st year calc wasn't that much worse then my high school non-AP calculus.

Reply October 23, 2012
AwakenedSoul

[quote=flamedagger]No, using chain rule, (D/2)^2 is D/2[/quote]

o yeh forgot that my way only worked for x^2, thx!

Reply October 23, 2012
flamedagger

No, using chain rule, (D/2)^2 is D/2

Reply October 23, 2012
AwakenedSoul

[quote=flamedagger]A=4pi(D/2)^2
find dD/dt.

dA/dt= 4pi(D/2)dD/dt
-1=4pi(10/2)dD/dt
-1=20pi dD/dt

dD/dt= -1/20pi[/quote]

derivative of (D/2)^2 is D tho

Reply October 23, 2012
radkai

[quote=flamedagger]khanacademy is good for everything [/quote]

If only it was more known and people had motivation to learn... I know so much people who fail and don't intend to improve..

Reply October 23, 2012
flamedagger

khanacademy is good for everything

Reply October 23, 2012
flamedagger

yeah, you might have forgotten the chain rule in applying the (D/2) so maybe that's where you're off by 1/2

Reply October 22, 2012
HelloMyCuties

I'm surprised your actually asking basili on this... Shouldn't you be using your textbook? .__.

Reply October 22, 2012
flamedagger

A=4pi(D/2)^2
find dD/dt.

dA/dt= 4pi(D/2)dD/dt
-1=4pi(10/2)dD/dt
-1=20pi dD/dt

dD/dt= -1/20pi

Reply October 22, 2012