Recent content by esploded

I have a test tomorrow on finding the volume, but I can never seem to use the right method. (easier, one-step method). What indicates if the disks method will be easier? What indicates if the shells method will be easier?

I'm honestly unsure how to explain this as well. I just need help on how to do number 3.

Homework Statement 1. sin(1/x) as x->infinity 2. tan(7x)/sin(5x) as x->0 3. General question--when finding the derivative (through implicit diff.), and I have something like y=(5x^2)y, what parts am I supposed to use the chain rule, and when am I supposed to use the product rule? The...

I'm not sure I follow. Is sin3x a product of sin and 3x? I thought sin3x was a single term.

Homework Statement a. find the tangent and normal line at P (0,0) b. find when the tangent is horizontal Equation: 3x+sin3x at (0,0) The Attempt at a Solution Find the derivative- y'=3 (?) or it it 3x+cos(3x)? But from there, I don't know how to find the rate of change to create a...

1. Hi, I have a pre-calculus final tomorrow, and there are a few questions I don't understand. I'd truly appreciate it if you could help :) 1. If sin(theta)=1/4, theta in quadrant II, find the exact value of cos(theta+pi/6) 2. sin(sin^-1(2/3) + cos^-1(1/3)) -- simplify 3...