8. a) Set up the integral you would need to evaluate to find the length of...
x = t^2 - 2t + 4, y = t^3 - 6t^2 8. a) Set up the integral you would need to evaluate to find the length of the curve given in #3 if Osts 10. b) Set up the integral you would need to evaluate to find the arclength of the curve r = 4sin(30), traced out once. 3
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. 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...
Set up (but do not evaluate) an integral to determine the arc length of the curve y = x2 from x = 0 to x = 2. 3 (12pt) TT TT Paragraph Arial %D9 ==== T TY TO ABC Evaluate the integral found in the previous question using Simpson's rule with n = 4. Round your answer to 4 decimal places
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....
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.
Question 10 Set up the definite integral and evaluate the definite integral to determine the area of the shaded region. Show all work and provide your response in the box below. The curve is given by f(x)= x3 + 2x2 - 5x+3. If you cannot view the image below, please click on this link. HHHHHH HHHHHHH 5+ HH HHHHH HHH -7 -6 -5 -4 -3 -2 -1 0
he polar function Find a formula for the derivative r =1-cos(O), 05021. (4 points) Set up, but do not solve, an integral to find the arclength of the curve r = 1-cos(), 030 s2r. (4 points) 9) Set up, but do not solve, an integral to find the area enclosed by r=1-cos(o), Oses2r. (4 points)
Ex. Set up an integral to find the area of one petal of r = 2 sin 30. Sketch the graph. Set up an integral to find the area of one petal of r-4cos 20. Sketch the graph. Ex. y
8. Set up a double integral to represent the area of the region inside the circle r= 3sin 0 and outside the cardioid r=1+sin 8. Use technology to evaluate the integral. Give the exact answer.