8. [-/1 Points] DETAILS LARCALCET7 12.1.072. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer using interval notation.) r (t) = Vti + vt - 3k Need Help? Read It 9. [-/1 Points] DETAILS LARCALCET7 12.1.071. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer using interval notation.) r(t) = - 1 6t + 1 Need Help? Read It Watch It 10. [-/1 Points] DETAILS LARCALCET7 12.1.501.XP.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find | |r(t) 11. r(t) = vti + 6tj - 8tk Need Help? Read It Watch It Master It7. [-I2 Points] DETAILS LARCALCET7 12.1.055. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Sketch the space curve represented by the intersection of the surfaces. Surfaces Parameter z=X2+2y2, X+y=0 X=2f O O Represent the curve by a vector-valued function r(t) using the given parameter. Need Help? 4. [-/2 Points] DETAILS LARCALCET7 12. 1.017. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find r(t) . u(t). r (t) = (2t - 7)i + +3j + 3k u (t ) = thi - 9j + +3 k r (t) . u(t) = Is the result a vector-valued function? Explain. Yes, the dot product is a vector-valued function. O No, the dot product is a scalar-valued function. Need Help? Read It Watch It 5. [-/1 Points] DETAILS LARCALCET7 12.1.047. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Represent the plane curve by a vector-valued function. y = x+ 6 r (t) = Need Help? Read It 6. [-/1 Points] DETAILS LARCALCET7 12.1.051. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Represent the plane curve by a vector-valued function. x2 + y2 = 9 r(t) = Need Help? Read It Watch It1. [-l1 Points] DETAILS LARCALCET7 12.1.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the domain of the vectorvalued function. (Enter your answer using interval notation.) r(t) = F(t) + G(t), where F(t) = cos ti sin ti + Qk, G(t) = 2 cos ti + sin ti Need Help? 2. [-I4 Points] DETAILS LARCALCET7 12.1.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the vector-valued function at each given value of t. (If you need to use At, enter Deltat.) rm = gtzi (t 4): (a) r(4) = (b) r(0) = (c) r(s + 4) = (d) r(2 + At) r(2) =| Need Help? 3. [-I2 Points] DETAILS LARCALCET7 12.1.015. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q corresponds to t = 1.) P(_91 '11 _7)r Q(_Zr _71 _9) r(f) = 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? _