[-/1 Points] DETAILS LARCALC11 12.4.JIT.001. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 6. [-/1 Points] DETAILS LARCALC11 12.4.JIT.006.MI. Find the domain of the vector-valued function. (Enter your answer using interval notation.) MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER r(t) = v 36 - (21 + taj - 2tk Evaluate the definite integral. [(sect tan () + (tan t)) + (2 sin ( cos ()k dt Need Help? Read It Need Help? Read It Master it [-/1 Points] DETAILS LARCALC11 12.4.JIT.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 7. [-/1 Points] DETAILS LARCALC11 12.4.JIT.007. Evaluate (if p ossible) the vector-valued function at each given value of t. (If an answer does not exist, enter DNE.) MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER r(t) = cos(t)i + 7 sin(t)j The position vector r describes the path of an object moving in space. Find the velocity v(t), speed s((), and acceleration a(!) a) r(0) r(!) = 8ti + 8tj + 4ck v(t) - (b) r(x/4) = (c) r(8 - =) = a(t) (d) r(x/6 + At) - r(=/6) - Need Help? Read It Need Help? Read It 8. [-/1 Points] DETAILS LARCALC11 12.4.JIT.008.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER [-/1 Points] DETAILS LARCALC11 12.4.JIT.003. Use the given acceleration function to find the velocity vector v(t), and position vector r(t). Then find the position MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER a(t) = -cos ti - sin j "(0) = j + k, r(0) = 1 Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q corresponds to t = 1.) P(-8, 1, -9), Q(-1, -3, 6) v() r(t) Represent the line segment from P to Q by a set of parametric equations. (Enter your answers as a comma-separated list.) (7) Need Help? Read It Master it Need Help? Read It 9. [-/1 Points] DETAILS LARCALC11 12.4.JIT.009.MI. [-/1 Points] DETAILS LARCALC11 12.4.JIT.004.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER Use the model for projectile motion, assuming there is no air resist PRACTICE ANOTHER A baseball player at second base throws a ball 90 feet to the player at first base. The ball is released at a point 5 feet above the Represent the plane curve by a vector-valued function. with an initial velocity of 60 miles per hour and at an angle of 13* above the horizontal. At what height does the player first base catch the ball? (Round your answer to three decimal places.) y -9- x2 feet r(t) . Need Help? Read It Master It Need Help? Read It Master it 10. [-/1 Points] DETAILS LARCALC11 12.4.JIT.010.MI. ASK YOUR TEACHER [-/1 Points] DETAILS MY NOTES PRACTICE ANOTHER LARCALC11 12.4.JIT.005.MI. Use the model for projectile motion, assuming there is no air resistance. A shot fired from a gun with a muzzle velocity of 160 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER feet per second is to hit a target 2800 feet away. Determine the minimum angle of elevation of the gun. (Round your answer to two decimal places.) Find the open interval(s) on which the curve given by the vector-valued function is smooth. (Enter your answer using interval . notation.) Need Help? Read It Master It r(t) = e'i - e- + 5th