Question: Tr'. The possible error involved in measuring each dimension oi a right circular cone ls i: in. The radius is 2 inches and the height


Tr'. The possible error involved in measuring each dimension oi a right circular cone ls i: in. The radius is 2 inches and the height is 5 inches. Approximate the propagated error and the relative error in the calculated volume of the cone. 3. Find the partial derivative [if Iimplicih':1'2: - yam: = II]. 9. Find the directional derivative of the function x, 3;) = if - x: at {1,4} in the direction {2.1}. to. Find the gradient of the function 2 = 111' and the maximum value of the directional derivative at the point {2,1}. 11. Find an equation of the tangent plane to the surface 9:2 + y: + 421 = 25 at the point [CL 3, 2]. 12. Find all relative extrema and saddle points pffExJ] = 1:2 + 3.13 + 3:2 5x
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