dy dr-x2-1 when y(0) = 0. a. Set up an integral for solving y(x) b. Evaluate your answer to the previous part to find y(x) y(x) help (formulas)
please help! I cannot figure this out. The graph below is of the curve defined parametrically by: x-sin t and y- sin 2t -0 5 0.5 -1 (a) SET UP THE INTEGRAL TO FIND THE AREA OF THE REGION ENCLOSED BY THE CURVE AND EVALUATE (b) SET UP THE INTEGRAL TO FIND THE LENGTH OF THE CURVE TRAVERSED EXACTLY ONCE. DO NOT EVALUATE. SIMPLIFY TO JUST BEFORE MAKING A SUBSTITUION. (c) SET UP THE INTEGRAL TO FIND THE TOTAL DISTANCE...
(1 point) Convert the integral 4/12 16-Y 1=f* pv T x** de dy 2P+8yº do dy to polar coordinates, getting DB Sº Lºn(,0) dr do, where h(t,0) = A= and then evaluate the resulting integral to get
3. Consider the triple integral 2z sin(x2 + y2 +22 - 2x) dy da dz. Set up, but do not evaluate, an equivalent triple integral with the specified integration order. a) (6 pts) da dz dy b) (7 pts) dz dr de (Cylindrical Coordinates) c) (7 pts) dp do do (Spherical Coordinates)
1. Set up, but do not evaluate, an integral to find the area enclosed by the x-axis and the [x = 1 + et curve ly = t-t2 2. {*5+?2t Osts2 y = VE (1) Find the equation of the tangent line at the point where t = (2) Set up, but do NOT evaluate, an integral to find the area of the surface obtained by rotating the curve about the y-axis. 3. Set up but do NOT evaluate an...
for b. y= sin(x^2-3x+1) og t par Set up, but do not evaluate, the integral required to compute the arc length of the curve cotr. y= 217from 0<x< /2. mense metied to compute Set up, but do not evaluate, the integral required to compute the surface area of the solid obtained by rotating the curve y=sin(x2 3x + 1), 0<x< 1 about the z-axis.
solve the proplem using Maple 6. (a) Consider the line integral (2) dx+2y dy, where C is part of the ellipse 9r26y144 from the point (0,3) to the point o.-3). Plot the curve C and evaluate the line integral. (b) Consider the surface integralVi++i where S is the surface of the helicoid r(mu) =< u cost, u sin v, u >, integral 0 u 1, 0 u 2r. Plot the surface S and evaluate the surface 6. (a) Consider the...
Need help solving this DE assume x>0 dy doc +y = x ln x
a) Set up an integral that gives the length of the curve y^ 2 + y = 2x from the point (1, 1) to (3, 2). Do NOT evaluate the integral. b) Let R be the region bounded by y = 1 and y = cos x between x = 0 and x = 2π. Set up an integral that gives the volume of the solid formed by rotating R about the line x = −π. See the figure below....
Consider the following. x = 3 sin y , 0 ≤ y ≤ π, x = 0; about y = 4 (a) Set up an integral for the volume V of the solid obtained by rotating the region bounded by the given curve about the specified axis. V = π 0 dy (b) Use your calculator to evaluate the integral correct to four decimal places. V = Please explain each step