Calculus Question

If f(x)=4x^2-3x+2, at what point on the interval -2 < x < 3, if any, is tangent to the curve parallel to the secant line.

take derivative and find out where its 0 me thinks

Huh? How did you figure that out?

secant is 1/cos lol

lol i dunno man im just saying random stuff

howd u do the first problem tho?

Draw a right triangle. The base of the triangle should be along the ground from where the plane is to where the observer is. The hypotenuse should extend from the observer to the plane and the other side is just vertical and it has a length of 5 miles. Theta is the angle beside the observer formed by the hypotenuse and the base.

db/dt=-600 , b stands for base, t stands for time so the base is changing at a rate of 600 mi/h or in other words the derivative of the base with respect to time is 600. Note that I wrote db/dt=-600 because the length of the base is decreasing as the plane gets closer to the observer so the rate is negative.
We are asked to find dθ/dt and we are given db/dt so we need some equation that relates θ and b.
If you look at your triangle you'll notice tan(θ)=5/b
by implicit differentiation(with respect to time) we get, sec²(θ)dθ/dt=-5b^-2db/dt
Now you simply plug in the numbers given and solve
sec²(30°)dθ/dt=-5(5√3)^-2*-600
dθ/dt=30 degrees per hour or if you use π/6 instead of 30° you get the answer 30 radians per hour
If you're wondering where the 5√3 came from remember that tan(θ)=5/b so b=5/tan(θ)=5/tan(30°)=5/(1/√3)=5√3

LOL i drew the triangle, disregarded it and went for the position formula and didn't have enough info

How the hell do you do approximations?

I have a table that has values of f(x) for the given x values for a unknown function. I have to approximate f'(0.10).

Also is this correct:

If a particle moves along a line according to the law s=t^5+5t^4, then the # of times it reverses direction is?

I would use the derivative (velocity) or the 2nd derivative (acceleration)?

Ahmed wrote:How the hell do you do approximations?

I have a table that has values of f(x) for the given x values for a unknown function. I have to approximate f'(0.10).

you mean that linear approx garbage??

screww that

So far you didn't help me in anything...

dude i havent done calculus in over a year!

i only remember easy stuff, not related rates and linear approx

Remember evaluating the derivative of an inverse function?

F My Cal teacher.

no .. i suck at life

F my sh!tty teacher.

dude just google it!

damn

this nigga has a sh!tload of videos

https://www.youtube.com/user/patrickJMT

He has videos on Trig, not Cal.

yeah he does u noob .. just go to his play list for calc 1 or use the search function

try this

http://www.analyzemath.com/calculus/Differentiation/derivative_inverse.html

FFFFF...hopefully this will help me on tomorrow's test

http://216.101.58.17/hs/bchin/pdf/inversesT8/theme8sol.pdf

I HAVE BEEN STARING AT THE SAME FREAKING QUESTION FOR HALF AN HOUR. I HOPE THE TEACHER TAKES A LONG SLEEP.

just post the damn question ... i suck at math if i dont do it in over a day (lol ) but ill try anyway

Forget it, this site:

http://216.101.58.17/hs/bchin/pdf/inversesT8/theme8sol.pdf

Somehow helped me...in a weird way. Like I don't know why you solve it like that, but I know how, and that's all I need to know for the test.

Thank God

Now to understand the approximation question.