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A: Thanks for the question :)And your upvote will be really appreciable ;)
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A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…
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A: Solution :-
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- Find equations of (a) the tangent plane and (b) the normal line to the surface 2(x−2)^2 + (y−1)^2 + (z−3)^2 = 10, at the point (3,3,5).Find the symmetric equations of the normal line and tangent plane to the surface 7 = xe^y cos z at the point (3, 0, π)The equation of line normal to f(x) = (x +4)1/2 at Q (0,3) is?
- Find equations of (a) the tangent plane and (b) the normal line given to the surface at the specified point yz2 - ex-z = 0 (1, 1, 1)Find the equations of the tangent plane and the normal line at point (1,1,-2) to surface z^2 = x^2-y^2+4For the cardioid r =1+ sin0 of Example 7, find the slope of the tangent line when 0=pi/ 3
- Approximate (a) arctan 0.95 and (b) arctan(−1.2) using the linear approximationtechnique.Prove that the normal line of the involute of the plane curve a(t) is parallel to the tangent line of a(t).Find parametric equations for the normal line to the following surface at the indicated point.z = 4x2 − 5y2; (4, 5, -61)In your answer, use the given point and a unit direction vector that has a positive x-coordinate.