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- Find ʃR (x2 + y2) dA where R is the region 4 ≤ (x2 + y2)≤ 9. Hint: Use polar coordinates.Evaluate ∫ ∫ √ (x2+ y2) dA where R is the portion of the annulus 1 ≤ x2 + y2 ≤ 16 with y ≤ 0 using polar coordinates.Find the area of the region within the polar curve r1 = 9 cos θ but outside the polar curve r2 =3+3cosθ.
- Solve for the Plane are in Polar coordinates with graph/drawing: Find the area bounded by the curve r2 = 16 cos 2θ.Given the two planes 2z - x - y = 0 and z + y - x - 1 = 0. Find a parametric equation for theintersection.△ABC is rotated around the line x=0 to produce a solid. What describes the shape of the solid?
- Find the slope of the polar curve r = 2( 1 – cosx ) when x = pi/4 . a. 1.707 b. 2.414 c. 1.866 d. 2.545 Find the slope of the curve x = 3t2 – 2 , y = t3 + 4 at t = 2 a. 2 b. 1 c. - 1 d. - 2I need to find the answer using integration with polar coordinates.solve the question by using triple integral (polar coordinate). the solution is 2/7