Recent content by canucks81

Homework Statement Use integration by parts to evaluate the integral ∫(7-6x) / (x2-4x+13)The Attempt at a Solution This is a question from my notes so I already have the solution but I'm not sure what's going on at this one specific step. ∫(7-6x) / (x2-4x+13) = -∫(6x-7) / (x2-4x+13) = -∫(...

so using [f(a+h) - f(a) ] / h is this the correct set up? [(1/(2+h)^2 - 1/16)] (1/h)

lim x-> 2 (1/(x+2)^2) - 2 / (x-2) lim x ->2 [ 1 - 2(x+2)^2 / (x+2)^2 ] / (x-2) lim x->2 [ 1 - (2x^2 + 8x + 8 ) / (x+2)^2 ] / (x-2) lim x->2 [ 1 -(2x+4)(x+2) / (x+2)^2 ] / (x-2) lim x ->2 [ 1 - 2 (x+2)^2 / (x+2)^2 ] / (x-2 ) (x+2)^2 cancel out lim x -> 2 -1/(x-2) = -1 / (2-2) =...

I did the question over again and I got -1/4 this time.

Homework Statement Use the definition of derivative to Find f ' (2) if f(x) = 1/(x+2)^2 Homework Equations lim [ f(a+h) - f(a) ]/ h h->0 3. Attempt The answer I get is 1/8. Can someone tell me if this is correct? Thanks

I'm not sure how to get the new acceleration from when the engine shuts down. I know that it has to be negative because the rocket will slow down.

So would I calculate the distance traveled up to when the engine shuts down, then subtract it from the length of the ramp to find the remaining distance?

What do I do with the ramp length? I didn't use it.

Homework Statement A 1200 kg rocket car is placed at the bottom of a 100 meter long ramp inclined at 10°. The rocket is turned on and it exerts a force of 8300 N for 5.70 seconds, and then it shuts down. Find the speed with which the rocket car leaves the ramp (assume frictionless)...

Thanks for the help, I finally got it.

Homework Statement A car travels 120km East at 45km/hr, then goes West 50km at 70km/hr, then goes East again for time t at 40km/hr. If the average velocity for the entire trip is 30km/hr East, find the time t. Homework Equations The Attempt at a Solution time of car traveling East...