3 t 2 3 3 t 1 t 1 so 0 dx dt dx dt t 1 or 1 x y 2 3

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12/14/16, 4(10 PMhw13S10.2Page 4 of 126.2/2 points | Previous AnswersSCalcET7 10.2.029.At what points on the given curve does the tangent line have slope 1?Solution or ExplanationClick to View Solution7.2/2 points | Previous AnswersSCalcET7 10.2.030.Find the equations of the tangents to the curve that pass through the point (12, 9).
Solution or ExplanationClick to View Solution8.9/9 points | Previous Answers
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12/14/16, 4(10 PMhw13S10.2Page 5 of 12graph of the curve on the t-interval [0,1]:x(t) = tbcos(2πty(t) = tbsin(2πtLet P(t)=(x(t),y(t)). Give exact answers to all parts below.(a) Find the tvalues in [0,1] when the curve intersects the x-axis, written in increasing order:))
(b) Find the slope of the tangent line to the curve at time t>0:
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12/14/16, 4(10 PMhw13S10.2Page 6 of 12(c) Find the slope of the tangent line to the curve at the smallest POSITIVE time in (a):
(d) Find the slope of the tangent line to the curve at the largest POSITIVE time in (a):
(e) Let s(t)be the function you obtained in part (b). Calculate the following limit; if it does not exist, type DOESNOT EXIST:
(f) For what value of bwill the tangent line to the curve through the point (1,0) be y=8x-8?
(g) Let t*be the first positive value in [0,1] where the curve crosses the y-axis. For what value of bis thetangent line to the curve at P(t*)parallel to y = -7 x:
9.6/6 points | Previous AnswersA major league baseball pitcher throws a pitch that follows these parametric equations:x(t) = 140y(t) = –16t2+ 5t + 5.t

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