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Find the speed at the point too pls, thanks! 13. [-/8 Points] DETAILS LARHSCALC1 9.AP.013. MY NOTES ASK YOUR TEACHER A particle starts at point

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Find the speed at the point too pls, thanks!

image text in transcribed
13. [-/8 Points] DETAILS LARHSCALC1 9.AP.013. MY NOTES ASK YOUR TEACHER A particle starts at point A on the positive x-axis at time t = 0 and travels along the curve from A to B to C to D, as shown below. The coordinates of the position of the particle at time t are given by (x(t), y(t)), where x(t) and y(t) are differentiable functions of time, and - 2+2 y' (t ) = ay dt (+3 - V27) 1/3 and x'(t) = dx/dt is not given. (a) Is dx/dt positive at point B? Is dy/dt positive at point B? Give a reason for each answer. axis dt is -Select- )at point B because the particle is moving ---Select-- ). is --Select-- ) at point B because the particle is moving -Select- C . (b) Find the value of t at which the particle reaches point C. t = (c) What is the y-coordinate of point C? y = (d) The point (7, 2) lies on the curve, and the line tangent to the curve at that point has the equation y = - 2x + 20. If, at this point, dx/dt = 1.837, calculate dy/dt. (Round your answer to four decimal places.) dy =

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