An object moves along the curve determined by the parametric equations  x(t) = t−sin(2t) and y(t) = t−cos(2t) where t is time in seconds and position is measured in meters. Find the speed of the object at time  t=5/2 π  seconds.  A) 100 meter per second B) √10 mps C) √2 mps D) 3√2 mps

Q: Find an equivalent equation in rectangular coordinates. r = 10 sin 0 x2 + y2 = 10x %3D VZog2 = 10x…

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Q: Cartesian equation

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Q: Let A = (1, -2, 2), B = (0, -1, 3), and C = (2,c4, c), where c is a real-valued constant. Find all…

A: Let A=(1, -2, 2), B=(0, -1, 3), and C=(2, c-4, c) where c is a real valued constant.

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A: substitute the parameter

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A: We have to solve

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Q: x = 12 + 3 y = 2t [-2, 2]

A: Substitute t value

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Q: Sketch the graph of the following parametric (a) x = 1+t , y= 2t – 3, 2<t< 5 1 (b) x = 2t , y = 1+…

A: Here we have to draw the parametric equations:- a) x=1+t,    y=2t-3,   2≤t≤5b) x=2t,    y=11+t2c)…

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A: Consider the given parametric equation as x=t-2 and y=12t+1

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A: The given graph is a line.  So the relation between x and y ordinates must be linear.