1. (a) Use the Wallis sine formula to evaluate ( sin* xdx.(b) Evaluate [1- dx by using properties of improper integrals.(x–2)²/2. (a) Find the exact surface area that is generated by revolving the portion of the curvey = x' between x=1 and x = 2 about the y-axis. Sketch the generated surface.(b) Find the exact arc length of the curvex= e" (sin t + cost), y =e" (sin t – cost)over the interval [-1, 1].dy3. (a) If y=x* tanh'(Vx)+ Je** +cosh’(5x), finddx(b) Sketch the polar curve r= 4cos 20 and r = 2/2. Then find the area of the region thatis inside the rose curve r=4cos20 and outside the circle r= 2/2. Sketch the region.4. (a) Derive the equation of the parabola x² = 4py.(b) The equation of an ellipse is given by 9.x² +4y² –18x+24y+9=0. Sketch the ellipseand then label the center, vertices, foci and ends of the minor axis.165. (a) Find the constants a,b,c for the conic r =Sketch the conic.5– 3cos03(b) Given rFind the distances from the pole to the vertices and then find the2+ sin 0*equation of the conic in rectangular coordinates. Sketch the conic.

We have to find the values of a, b, c and sketch the curve.

Answered: 16 5. (a) Find the constants a,b,c for…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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16 5. (a) Find the constants a,b,c for the conic r = - 5-3 cose Sketch the conic.