Recent content by cummings15

Homework Statement find the integral of cot^(-1)of (5x) Homework Equations Integration by parts The Attempt at a Solution u = x du = dx dv = cot ^ (-1) v = ? and then i would plug into equation [uv- integral of vdu ]

the 12 and 16 are what i got for a,b for the part of equation i think a will be 0 because of x-axis but i am not sure what b will be

For problem 1 i got for shell equation y=shell radius shell height= y^(1/2)-(y/3) bounded from 12,16 FOr wahser i got Rx = (y/3)-y^(1/2)

anybody?

I got the forumlas Washer v=pi integral from a to b [Rx^2- rx^2]dx Shell= v=2pi integral from a to b [radius*height]dx Disk same a washer just without little r

Homework Statement Region bounded by y=x^2 and y=3x. Set up integrals to determine volume of solid obtained by rotating the region about: 1. the x axis show both disk/washer method and shell method 2. the line x=4 show both disk/washer method and shell methodThe Attempt at a Solution I...

so the slope would = pi

i got this y ' = pi * cos(pi * x - y) * (pi - y') and then i solved for y '

i think i got it is y ' {-1/pi*cos(pi*x-y)} + pi

updated first post is y ' right

updated first post

Homework Statement Verify that (1,0) is on the following curve and find the tangent line and normal line to the curve at the point. y=pisin(pix-y)The Attempt at a Solution i think i got it is y ' {-1/pi*cos(pi*x-y)} + pi

so for the function y=pisin(pix-y) y prime = picos(pix-y)*pi which equals pi^2cos(pix-y)

First Problem Homework Statement Find the derivative of x^6+y^6=18xy Homework Equations Find derivative The Attempt at a Solution 6x^5+6y^6=18*(dy/dx) Second Problem Homework Statement Verify that (1,0) is on the following curve and find the tangent line and normal...

Homework Statement lim (sin4x) divided by (x^2+8x) x approaches 0 Homework Equations L'Hopital's rule The Attempt at a Solution u = sin4x du = cos4x y = x^2+8x dy = 2x+c