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- Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?Which statement about cylindrical coordinates is correct?(a) If θ = 0, then P lies on the z-axis.(b) If θ = 0, then P lies in the xz-planeHow can I parametrize this 3D shape with two variables? x ≥ 0, 0 ≤ y ≤ x, x^2 + y^2 ≤ z ≤ 8−3x^2−3y^2
- Given P(-11, 0, 49) in rectangular coordinate system, what is ρ (rho) in cylindrical coordinates? (Compute up to 4 decimal places)we have the equation z=c, convert it to cylindrical coordinates, and then convert to spherical cooedinatesAt P(-3,-4,5) express that the vector that extends from P to Q(2,0,-1) in (i) cylindrical coordinates, (ii) spherical coordinates.
- Show that the cylindrical equationr 2(1 − 2 sin2 θ ) + z 2= 1is a hyperboloid of one sheet.In a right spherical triangle ABC, B=90°. Using Napier’s first rule, what is the simplified form of the equation for side AB?Find an equation of the form z = f (r, θ ) in cylindrical coordinates for z^2 = x^2 − y^2.