Cartesian to polar coordinates Sketch the given region of
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- Number e pleasearrow_forwardEvaluate the integralarrow_forwardUse double integration in Polar coordinates to find the shaded area (the area inside the rose r = 2 sin(20) and outside the circles r 2 sin(0) and r = 2 cos(0)). 2.5 Useful formula: r-2 sin(0) sin (20) = 2 sin(0) cos(0) -2 sin(20) 45 r-2 cos(0)arrow_forward
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- (b) Find the value of the following integrals: 1- dz, y is the triangle with vertices at the points z-51, (2) +z-2) z 31, z 2. %3D -7 2-2 sec z dz, y is the triangle with vertices at the points z=- 5. -i,z=i.arrow_forwardsketch! Convert to polar coordinates to evaluate the double integral is the region in the first quadrant enclosed by x² + y² = 9 and the lines z = 0 and y = r. 11.1² (2x - y) dA, where Rarrow_forwardCal 3arrow_forward
- Complex variablesarrow_forwardconvert to cylindrical coordinate : with steps and explanation Please don't give handwritten answer..thankuarrow_forwardConsider the following. y y = x° - 2 x 4 2 X -4 -2 4 -2 y = 2 x -4 -6 (a) Find the points of intersection of the curves. (х, у) %3D ( (smallest x-value) (х, у) (х, у) (largest y-value) (b) Form the integral that represents the area of the shaded region. 0. 2 dx + dx 2 (c) Find the area of the shaded region.arrow_forward
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