MATH 151 QUIZ 3 FALL 2010 Remember to keep your work neat and orderly Show all of your work NO WORK NO CREDIT Read each question carefully and be sure to answer the question that was asked Good luck Name 2 dy Arc Length L 1 dx a b d dx f t 2 g t 2 dt c dy dy dt dx dx dt pts d dy d y dt dx dx dx 2 dt 2 x t 2 10t 20 y 5 t 1 For the parametric equations a Eliminate the parameter t and sketch the resulting curve in the x y plane Label the coordinates of the initial point t 0 and draw an arrow on the curve showing the direction of motion 5 b Use the parametric equations to find the slope of the tangent line to the curve at t 6 3 c Find d2y as a function of t only dx 2 2 Find the arc length of the parametric curve 4 2 3 3 x t 2 7 y t 5 for 0 t 5 Do the integration but do not evaluate Turn over for number 3 3 Use your calculator to find the arc length to 1 decimal place of the curve interval 1 x 3 Show the integral you entered into your calculator 7 f x e 3 x x 2 on the 6
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