1. Set up, but do not evaluate, an integral to find the area enclosed by the...
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...
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.
t2-2t, y =vt and the y-axis. Find the area enclosed by the curve x t2-2t, y =vt and the y-axis. Find the area enclosed by the curve x
1) Set up but DO NOT evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = cos?x, Ix S y = ; about x =
Set up and evaluate the definite integral for the area of the surface generated by revolving the curve about the y-axis. (Round your answer to three decimal places.) y = 1 − (x^2)/36 , 0 ≤ x ≤ 6
1 point) Book Problem 1 (x) x5 x-5 g(x> 0.8a2 8 Set up an integral to find the area A of the region enclosed between f(x) and g(x) -5 to x = 5, and then evaluate it. = x from T= da A - (1 point) Book Problem 39 The base of a certain solid is an elliptical region with boundary curve 4x2 25y2 100. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base. A(x)...
Set up but do not evaluate an integral for the area of the region below the graph of y=1 x 2 + 1, above y = 1, over the interval [ 1 , ∞).
Set up, but DO NOT evaluate an integral to find the volume of the following solid: The solid generated by rotating the region bounded between y=1+sec x, y = 3, 2 = 7/3, and x = -7/3 about the line y = 1. Use the washer method.
3.0-14 points SCalcET8 82.005 Consider the following. (a) Set up an integral for the area of the surface obtained by rotating the curve about the raxis and the y-axis. (i) them is S= (i) the y-axits ) dy (b) Use the numerical integration capability of s calculator to evaluate the surface areas corract to four decimal places () the aeaxis () the y-axis Need Help? Tak to a Tuter 3.0-14 points SCalcET8 82.005 Consider the following. (a) Set up an...
Assignment 4: (Arc Length and Surface Area - 7.3) 1. Consider the plane curve C defined by y=e" between y-1 and y-e. (a.) Set up, but do NOT evaluate, an integral with respect to y for the arc length of C. (b.) Set up, but do NOT evaluate, an integral with respect to x for the arc length of C. Set up, but do NOT evaluate, an integral for the area of the surface obtained by rotating C about the...