Convert the point P(x, y) = P(-2,2) to polar coordinates. %3D P (r, 0) = (2/2, ) 57 P(r,0) = (2/2, ) 37T °P(r,e) = (2v2, -:) °P(r, 0) = (v2, ) 4
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A: I am attaching image so that you understand each and every step.
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- i need to convert below z=64-4*x^2-4*y^2 and above the xy-plane into polar coordinate however i am stuck in determining the region.Find polar coordinates (r, θ) of the point (1, −2), where r > 0 and 0 ≤ θ < 2π.Find the general equation of the plane through the point (1, 1, 1) that is perpendicular to the line with parametric equations x = 2 - t y= 3 + 2t z= -1+ t
- find the distance between the point (2,2,3) and the line of parametric equations x=1-2t, y=1+t, z=-tHow do I find the solid revolution of y= x^2, y = 3, first quadrant.Find parametric equations for the line through (1,10,-3) perpendicular to the plane 10x+3y+5z=19. Let z=-3+5t. x___, y____, z_____, −∞<t<∞ (Type expressions using t as the variable.)
- Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2 + y2 and the ellipsoid 6x2 + 4y2 + 5z2 = 30 at the point (−1, 1, 2). (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.)Find the point on the y-axis which is equidistant from (2,5,-3) and (-3,6,1). After getting the value of y, convert the coordinates to cylindrical coordinates assuming in the new coordinates, the value of x=1, z=1Find the distance from the point (3, 2, 5)to the line with parametric equations x=t,y =l +t ,z = 2 + t.
- Find the corresponding Cartesian equation of the parametric equation x=3cosθx=3cosθ. y=4sinθy=4sinθ. 0≤θ≤2πFind a parametric equation of a line that passes through the point (1,3,-4) and is perpendicular to the plane -2x+y-5z=1 a) x=-2+t, y=1+3t, z=4+5t b) x=1-2t, y=3+t, z=-4-5t c) -2(x-1)+(y-3)-5(z+4)=0 d) (x+2)+3(y-1)-4(z+5)=011. Obtain the rectangular equation from the parametric equations by eliminating the parameter t X=t and Y=2t