Recent content by cphill29

Because MATLAB isn't required for chemical engineering majors at my school, but dynamics is, and this is a dynamics problem. I also didn't say I have no experience at all, but next to none, meaning very little. I can do basic computations but this one is out of my league.

I have next to no experience with matlab. I would try and solve for the initial velocity that I need for each given distance, but I'm not sure how to make that into a MATLAB code. Getting that by trial and error by hand would take an eternity.

That's not the issue. I need help setting up the MATLAB code. I can deal with the units later.

Homework Statement I have to write a MATLAB script that calculates the horizontal distance of a projectile fired from a cannon set at 45 degrees by a compressed spring. I know that the spring constant is 6 lb/in, the unstretched length of the spring is 1 foot, the mass of the projectile is 0.1...

Thank you very much for your help!

OK, so setting u=2e2x, I get du=4e2x dx, and dx=1/4e2x du. Substituting that in, I get... I=2π∫(e2x)(1/4)(1/e2x)√(1+u2) and then when I simplify... I=1/2π∫√(1+u2) using a trig sub, I=1/2π∫sec3θ dθ Is this correct?

The problem is, find the surface area of the volume of revolution generated by rotating the curve y=e2x between x=0 and x=2 about the x-axis. Here's what I have so far... SA=∫y√(1+y2)dx =∫e2x√(1+4e4x)dx and from here I'm not really sure what to do. Any help would be appreciated.

That's what I thought, too, but it gives me a picture and it's clear that is not the case. I did try it though and still got the answer wrong.

Homework Statement A lighthouse that rises 49 ft above the surface of the water sits on a rocky cliff that extends 19 feet from its base. A sailor on the deck of a ship sights the top of the lighthouse at an angle of 30 degrees above the horizontal. If the sailor's eye level is 14 ft above...

Homework Statement x^6 + y^6 = -6 I have to prove that y'' = 30x^4/y^11 Homework Equations The Attempt at a Solution Using implicit differentiation: 6x^5 + 6y^5 dy/dx = 0 6y^5 dy/dx = -6x^5 dy/dx = -x^5/y^5 Quotient Rule: [(y^5)(-5x^4) - (-x^5)(5y^4 dy/dx)] /...

Right, thank you for your help! I need to be more aware of positives and negatives.

I suppose dh/dt would be decreasing, making my final answer positive?

Homework Statement An 18 meter ladder is sliding down a vertical wall at a rate of 2.5 m/s. Find the speed of the lower end of the ladder when it is 12 meters from the wall. Homework Equations Pythagorean Theorem The Attempt at a Solution Let h = height of the wall L = length of the...

Thank you for clearing that up. Instead of cancelling the 'h', I canceled the 2 by mistake.

Homework Statement Limit as h approaches 0 for [rad(5+h)-rad(5-h)]/h Homework Equations The Attempt at a Solution limit as h approaches 0 for [(5+h)-(5-h)]/h[rad(5+h)+rad(5-h)] limit as h approaches 0 for 2h/h[rad(5+h)+rad(5-h)] limit as h approaches 0 for h/[rad(5+h)+rad(5-h)] This...