Spring Break Questions

[chrishuff]

If f''(x) = 10 and f'(1)=7 and f(-1)=10, then f(2)=?

[FabensMath]

Nsguy just explained a similar on a previous topic today on #58

[chrishuff]

Crud, I gotta integrate. X_X

[chrishuff]

Lorena hit the golf ball with her driver so that its initial speed was 180 feet per second. The ball left the club at an angle of 11 degrees. Find the ball's initial speed in the vertical direction. (Nearest foot)

[nsguy1350]

[unparseable or potentially dangerous latex formula].
See, these problems are free points, just keep asking.

[chrishuff]

Heh heh, I just looked over a test and if nothing came up to me while I was glancing over it, then I would post it here.\

How about #55 on District 1 2010?
And #48 on the same test, I haven't dealt with polar stuff since back in PAP-Pre Cal, in which I forgot all about due to lack of using it.

[nsguy1350]

Wow, 48 is E?
I would've went for sin first, since it's on the y-axis, but that's weird, we never talked about [unparseable or potentially dangerous latex formula] inside trig functions.

For 55, I would set one vector on the x axis, then solve. They give you the angle between, so putting one on the x-axis simplifies somewhat.

[unparseable or potentially dangerous latex formula], then find x and y, then take the magnitude, [unparseable or potentially dangerous latex formula].

[chrishuff]

I need a crash course on solving trig functions without a calculator. I usually type the entire function into my graphing calculator and after it graphs, I work it from there.

Period, range, etc.

For example:

f(x) = 4cos(3x+2pi)-1

[chrishuff]

And also I kind of got a bit rusty when it comes to multiplying square roots:

Example:

( 6 + sq rt -18) (3 - sq rt -8)

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If f(theta) = sin 2 theta, then f'(pi / 12) = ?

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#42 UIL A 2012 - Is there a quick way to solve this rather by hand? Or should I say, can the TI-89 solve this kind of problem? I have yet to fully utilize my TI-89 yet.

[FabensMath]

89 will simplify pretty much anything you input, it will do derivatives and integrals for you, and it will do problems like 42, if you just now how to put them in, which are pretty easy.
42 on Ti-89 is something like [unparseable or potentially dangerous latex formula] and this will give you the answer.(the sigma sign is on F3 #4)
For derivaties: 2ND 8
[unparseable or potentially dangerous latex formula]
For integrals: 2ND 7
[unparseable or potentially dangerous latex formula]
For area under a curve, same thing but you have to specify your bounds:
[unparseable or potentially dangerous latex formula]

[chrishuff]

#32 District 1 2010
and
#33 District 2 2010

[FabensMath]

I can't read 32. it opens a file in blank.
33. is power function for sin, so sin(5)= -.9589

[chrishuff]

Thanks nsguy1350!

amplitude is coefficient of trig function
4cos(3x - 2pi) + 7
amp = 4

Oh, by the way, you have a function
asin(b(x-c))+d

amp = a
period = 2pi/b
frequency = 1/period
phase shift = c
vertical shift = d

sin/cos are identical

tan is the same, except I don't think there is amplitude and that period is pi/b, and frequence is 1/that
so in 4cos(3x - 2pi) + 7 = 4cos(3(x-2pi/3)) + 7
amp = 4
per = 2pi/3
freq = 3/2pi
phase shift = 2pi/3
vert shift = 7