Question
1-5
Find the point, at shicli the tangent line to the curve x(t) - 3t2 - t y(t) - 2t +t9 at t - 1 intersects the line y = 2 - x. A.(4/5,6/5) B.(1/2,3/2) C.(4/5,6/5) D. Does not extist E.(3/4, 5/4) Find the arclegnth of y =sin(x) between x = pi/2 and x =3pi/2 A. 1 B. 1/2 C -pi/2 D. E. None of the above. Consider the cycloid x(t) = t - sin t. y(t) = 1 - cost Find the intersection of the tangent, line at x = pi/2 and the tangent, line at x = 3pi/2 A.(pi,0) B.(-pi,1/2) C.(pi,pi/2)D.(pi,pi/2+2) E. There is no intersection. If x(t) = t2 y(t) =t3 is the equation of the position of a moving object, then the velocity is positive for all t. The arclength of a parametric equation can be negative. A. True B. False
Explanation / Answer
.
