Respond to this Question
Similar Questions

mathematics
find the area of the region between the curve y = 3x^2 and the line y = 1 by integrating with respect to y you first have to solve for x x=(3y)^(1/2) then area ⌠ (3y)^(1/2 dy from 1 to 3 ⌡ =2/3 (3y)^(3/2  from 1 … 
Calculus HELP plz
Find the area of the surface obtained by rotating the curve y=sqrt(4x) from x=0 to x=1 about the axis. about the xaxis. surface area= ⌠ 2pi * f(x)*sqrt[1 + (f'(x))^2] dx from a to b ⌡ it's been 45 years since I used that … 
Algebra
Hi! I was wondering if anyone might be willing to check my answers for these... I have a suspiscion they are wrong, but I don't have any correct answers to compare them against. If I got them wrong, would you mind giving a brief explanation? 
calculus; implicit differentiation
Use implicit differentiation to find the slope of the tangent line to the curve at the point (4,1) 1x^2  4xy + 3y^3 = 29 I differentiated both sides and solved for dy/dx and got 2x4y/9y^24x. Then I plugged in X and Y and got 4/7 … 
Calculus
Use the table of values to estimate ⌠6 ⎮ f(x)⋅dx ⌡0 Use three sub intervals and the (a) left endpoints, (b) right endpoints, and (c) midpoints. If f is an increasing function, how does each estimate compare … 
Probability and Satistics
Random Variables X and Y follow a joint distribution: f(x,y)=(6xy)/8 if 0<x<2, 2<y<4 and 0, else Find P(1<Y<3X=1) I first got the marginal distribution for x and got (3x)/4 (Integrated from 2 to 4)and then got … 
math
So I need to solve this differential equation dy/dx = 1/(x+2) so i solved it like this dy = 1/(x+2)dx then i took the integral of both sides y= ⌠1/(x+2)dx ⌡ then performed a u sub u = x+2 du = 1dx y = ⌠du/u ⌡ … 
math
How do I find the derivative of ⌠lnx ⌡π cos(e^(t))dt The question above is asking for the derivative of the integral cos(e^(t)) from pi to lnx 
Calc
Give a 4term left Riemann sum approximation for the integral below. 16 ⌠ 3*((x+2)^(1/2)) ⌡ 12 
Calculus
A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion is x(t) = 8 sin t, where t is in seconds and x is in centimeters. The first part of the question is to find the velocity and …