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Katniss

Post subject: AP Calculus AB Summer Homework Help Posted: Tue Aug 09, 2011 1:17 pm 

Joined: Wed Feb 17, 2010 7:33 pm

I have AP Calculus AB summer work, and I'm having trouble working out some of the problems. I'll probably be posting a few others as well. Any help would be appreciated!
x 0 1 2 3 4 5 6 f(x) 10 8 1 0 5 7 2
Using the table of values given above, find the average of change for f on the interval (2,5) and write an equation for the secant line passing through the corresponding points.
_________________ Selling White Dino Star
Tony Fisher wrote: By midnight Rox will have revealed all her secrets, told everyone that she loves us and end up banning herself tomorrow when she reads it all back. Transsexual and Proud!


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KelvinS

Post subject: Re: AP Calculus AB Summer Homework Help Posted: Tue Aug 09, 2011 1:20 pm 

Joined: Mon Mar 30, 2009 5:13 pm

Average of change for f on the interval (2,5) = df/dx = [7(1)]/(52) = 8/3
That's then the gradient of your line, m=8/3.
Then just solve for y=mx+c (derive c) based on the two points, y=7 when x=5, and y=1 when x=2.
gives c= ymx = 78/3*5 = ... (based on the first point)
Or, c = ymx = 18/3*2 = ... (based on the second point)
_________________ If you want something you’ve never had, you’ve got to do something you’ve never done  Thomas Jefferson
Last edited by KelvinS on Tue Aug 09, 2011 1:31 pm, edited 1 time in total.


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Katniss

Post subject: Re: AP Calculus AB Summer Homework Help Posted: Tue Aug 09, 2011 1:31 pm 

Joined: Wed Feb 17, 2010 7:33 pm

Kelvin Stott wrote: Average of change for f on the interval (2,5) = df/dx = [7(1)]/(52) = 8/3 Thanks for the quick reply, but can you explain what you did there? Thanks!
_________________ Selling White Dino Star
Tony Fisher wrote: By midnight Rox will have revealed all her secrets, told everyone that she loves us and end up banning herself tomorrow when she reads it all back. Transsexual and Proud!


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KelvinS

Post subject: Re: AP Calculus AB Summer Homework Help Posted: Tue Aug 09, 2011 1:33 pm 

Joined: Mon Mar 30, 2009 5:13 pm

portal1920 wrote: Kelvin Stott wrote: Average of change for f on the interval (2,5) = df/dx = [7(1)]/(52) = 8/3 Thanks for the quick reply, but can you explain what you did there? Thanks! Yep, you're basically just calculating the gradient between the two points where x=2 (f=1) and x=5 (f=7), so you can ignore all the other points/data. I've also added some hints on the next part, above.
_________________ If you want something you’ve never had, you’ve got to do something you’ve never done  Thomas Jefferson


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Katniss

Post subject: Re: AP Calculus AB Summer Homework Help Posted: Tue Aug 09, 2011 2:18 pm 

Joined: Wed Feb 17, 2010 7:33 pm

Kelvin Stott wrote: Then just solve for y=mx+c (derive c) based on the two points, y=7 when x=5, and y=1 when x=2.
gives c= ymx = 78/3*5 = ... (based on the first point)
Or, c = ymx = 18/3*2 = ... (based on the second point)
So, would the line be y=(8/3)x+(19/3)?
_________________ Selling White Dino Star
Tony Fisher wrote: By midnight Rox will have revealed all her secrets, told everyone that she loves us and end up banning herself tomorrow when she reads it all back. Transsexual and Proud!


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Katniss

Post subject: Re: AP Calculus AB Summer Homework Help Posted: Tue Aug 09, 2011 2:49 pm 

Joined: Wed Feb 17, 2010 7:33 pm

Just came across another one.
Given that h(x) = (tan^1)[1(pi)(x)] is a composite function of the form h(x)=f(g(x)), find f and g. [I think may be referring to the previous problem where f(x)=x/(x1), and g(x)=1/(x1), but I have no idea.]
_________________ Selling White Dino Star
Tony Fisher wrote: By midnight Rox will have revealed all her secrets, told everyone that she loves us and end up banning herself tomorrow when she reads it all back. Transsexual and Proud!


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KelvinS

Post subject: Re: AP Calculus AB Summer Homework Help Posted: Tue Aug 09, 2011 2:51 pm 

Joined: Mon Mar 30, 2009 5:13 pm

portal1920 wrote: Kelvin Stott wrote: Then just solve for y=mx+c (derive c) based on the two points, y=7 when x=5, and y=1 when x=2.
gives c= ymx = 78/3*5 = ... (based on the first point)
Or, c = ymx = 18/3*2 = ... (based on the second point)
So, would the line be y=(8/3)x+(19/3)? Just put x=2 and then x=5 back into your equation to make sure the line runs through those two points. Sorry for not giving you a direct answer, but you should do some of the thinking for yourself.
_________________ If you want something you’ve never had, you’ve got to do something you’ve never done  Thomas Jefferson


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