1. Let C be the set of points which satisfy y. Write down an integral which finds the distance fr...
Let C be the graph of f(x) = sinx, 0 <x<pi a. set up an integral that computes the arc length of C b. use Simpson's rule with n=6 to approximate the arc length c. set up an integral that computes the surface area of surface that results by rotating c about the x-axis d. use Simpson's rule with n =6 to approximate the surface area of the surface in part c e. set up an integral that computes the...
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
Let C be the portion of the curve rve y = x3 + 3x – 1 between the points (1, 3) and (2, 13). (a) Write down a definite integral for the arclength of C. Do not evaluate the integral. (b) Write down a definite integral for the surface area of the surface of revolution obtained by revolving Cabout the x-axis. Do not evaluate the integral. (c) Write down a definite integral for the surface area of the surface of...
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....
a. Write and simplify the integral that gives the arc length of the following curve on the given integral. b. If necessary, use technology to evaluate or approximate the integral. z 8 y 2 sin x on 9' 9 a. Set up the integral that gives the arc length of the curve. Select the correct choice below and fill in the answer box to complete your choice.
a. Write and simplify the integral that gives the arc length of the...
(a) Use a graphing utility to graph the curve represented by the following parametric 6. x y over the interval -2sts2. (b) Write an integral that represents -3t-1 the arc length of this curve over the interval -2sts2. (Do not attempt to evaluate this integral algebraically.) (c) Use the numerical integration capability of a graphing utility to approximate the value of this integral. Round your result to the nearest tenth. (Be careful with your notation, show orientation arrows on your...
Write a function which takes inputs x, y and n and integrates using Simpson's rule. Write the code in matlab to determine the value of n and h required to approximate So 1 dx to within 10^-5 and compute the approximation. Use Composite Simpson's rule.
2. Let a curve be parameterized by x = integral for the length of the curve. t3 – 9t, y=t+3 for 1 <t< 2. Set up (but do not evaluate) the
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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.