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mathematics
september 2020
16

Mathematics Questions and Answers September 16, 2020

Expert-verified solutions to help you succeed

(1) (9pts) Find the curvature of r(t) = sinti + v2 costj + sintk (2) (8pts) Find all first partial derivatives of h(x, y, z) = sin (2max + y - 3z)

a) Find the derivative, but do not simplify your answer. y = (7x6 5x4 + 2x2 1)(4x9 + 3x7 5x2 + 5x) b) For the function y = ( x 2 + 2)( x 3 9 x ), at (3, 0) find the following: (a2) the slope of the tangent line (b2) the instantaneous rate of change of the function c) Find the derivative and simplify. y = (6 x + 5)( x 2 3 x ).

Answer all, please 1. A freight train leaves a train station and travels due north on a straight track. After t hours, the train is s(t) = 18t2 - 213 kilometres north of the train station (for 0

Sketch the region enclosed by x + y^2 = 20 and x + y = 0

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