6.2/2 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(15, 9).

Solution or ExplanationClick to View Solution8.9/9 points | Previous Answers

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2/21/14, 2:42 PMChapter 10.2 HWPage 5 of 13Let 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(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):. :

2/21/14, 2:42 PMChapter 10.2 HWPage 6 of 13(e) Let s(t)be the function you obtained in part (b). Calculate the following limit; if it does notexist, type DOES NOT EXIST:lim_(t->0+)s(t)= (f) For what value of bwill the tangent line to the curve through the point (1,0) be y=6x-6(g) Let t*be the first positive value in [0,1] where the curve crosses the y-axis. For what valueof bis the tangent line to the curve at P(t*)parallel to y = -9 9.6/6 points | Previous AnswersA major league baseball pitcher throws a pitch that follows these parametric equations:x(t) = 150y(t) = –16t2+ 6t + 5.The time units are seconds and the distance units are feet. The distance between the location of thepitcher and homeplate (where the batter stands) is 60.5 feet. Give EXACT answers, unless instructedotherwise.(a) Calculate the horizontal velocity of the baseball at time t; this is the function x'(t)ft/sec.(b) What is the horizontal velocity of the baseball when it passes over homeplate?ft/sec (c) What is the vertical velocity of the baseball at time t; this is the function y'(t).?x: t==