Assignment Scoring Your last submission is used for your score. 1. [-/1 Points] DETAILS LARCALC11 12.1.007. Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) = F(t) + G(t), where F(t) = cos ti - sin tj + 9v tk, G(t) = 2 cos ti + sin tj Need Help? Read It Watch It Submit Answer 2. [-/1 Points] DETAILS LARCALC11 12.1.012. Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter DNE.) r(t) = cos(t)i + 8 sin(t)j (a) r(0) = (b) r(1/ 4) = (c) r(0 - ) = (d) r(7/6 + At) - (1/6) - Need Help? Read It Watch It Submit Answer3. [-/1 Points] DETAILS LARCALC11 12.1.013. Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q corresponds to t = 1.) P(0, 0, 0), Q(4, 6, 6) r(t) = Represent the line segment from P to Q by a set of parametric equations. (Enter your answers as a comma-separated list of equations. ) Need Help? Read It Watch It Submit Answer 4. [1/1 Points] DETAILS PREVIOUS ANSWERS LARCALC11 12. 1.020.8. [-/1 Points] DETAILS LARCALC11 12.1.051. Represent the plane curve by a vector-valued function. x2 + 12 =9 r (t ) = Need Help? Read It Watch It Submit Answer 9. [-/1 Points] DETAILS LARCALC11 12. 1.059. Sketch the space curve represented by the intersection of the surfaces. Surfaces Parameter x2 + 12 + 2? = 4, x+2=2 x = 1 + sin t - 3 O -3+ Represent the curve by a vector-valued function r(t) using the given parameter. r(t) = (positive y portion) r(t) = (negative y portion) Need Help? Read It Watch Itr (t) = (negative y portion) Need Help? Read It Watch It Submit Answer 10. [-/1 Points] DETAILS LARCALC11 12. 1.069. Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim ebti + sin(32) ;+ e-3tk 3t Need Help? Read It Submit Answer 11. [-/1 Points] DETAILS LARCALC11 12.1.071. Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer using interval notation. ) r (t ) = - 3t + 1 Need Help? Read It Watch It Submit Answer F3. S 3 4 O WSubmit Answer 12. [-/1 Points] DETAILS LARCALC11 12.1.081. MY NOTES ASK YOUR TEACHER The outer bottom edge of a staircase is in the shape of a helix of radius 1 meter. The staircase has a height of 4 meters and makes two complete revolutions from top to bottom. Find a vector-valued function for the staircase. Use a computer algebra system to graph your function. (There are many correct answers. Use t as the parameter. Let 0 S t S 4n.) Need Help? Read It Watch It Submit Answer Home My Assignments [+ Request Extension Copyright @ 1998 - 2023 Cengage Learning, Inc. All Rights Reserved TERMS OF USE PRIVACY e F10 Delete 5 6 8 o Y O P S D G H C B N M