Question list K Let u(t) = 5t'i+ (12 -8) j-6k and v(t) = eli+7 e "j- ek. Compute the derivative of the following function. u(t) . v(t) Question 6 Select the correct choice below and fill in the answer box(es) to complete your choice. O Question 7 O A. The derivative is the scalar function O B. The derivative is the vector-valued function Question 8 i+ i+ () k. Question 9 Question 10Question list K For the following parameterized curve, find the unit tangent vector. r(t) = (2 cos (t),2 sin (t),7 cos (t)) , for 0 stsx BUVULVILL O Question 3 Select the correct answer below and, if necessary, fill in the answer boxes within your choice. O A. T(1) = O Question 4 (Type exact answers, using radicals as needed.) O B. Since r'(t) =0, there is no tangent vector. O Question 5 Question 6 Question 7 Help me solve this View an example Get more help Clear allCompute r'(t) and r'"(t) for the following function. Question list K r(t) = vt+5i + t+ 7 jerk Question 8 r''(1) = Question 9 Question 10 Question 11 O Question 12Consider the helix r(t) = (8 cos (t),8 sin (1),9t) , for - co O Question 2 Question 3 Question 4 Question 5K Compute the indefinite integral of the following function. Question list r(t) = 22 i+ - 8 + 3t j + In 19t k O Question 10 Select the correct choice below and fill in the answer boxes to complete your choice. Question 11 O A. Jrodt = ( Di + ( Di + ( ) k Question 12 O B. |r (t) at = ( )i + (_Dj + ( ) k +C Question 13 Question 14Find the function r that satisfies the given condition. Question list K r'(1) = (e', cost, sect) ; r(0) = (2,2,2) O Question 11 r(t) = O Question 12 Question 13 O Question 14 Question 15Evaluate the following definite integral. Question list K te ( - 9i + 2 j + 9k) dt 0 Question 13 Select the correct choice below and fill in the answer boxes to complete your choice. Question 14 OA. te ( - 9i + 2j + 9k)dt = + Question 15 0 7 Question 16 OB. te (- 9i + 2j + 9k)dt = i + ()j + ( ) k + C 0 O Question 17Question list K For the following parameterized curve, find the unit tangent vector. r(t) = (e 31,3 e 31,3 e 171), for t 2 0 Question 3 Question 4 Select the correct answer below and, if necessary, fill in the answer boxes within your choice. O A. T(t) = Question 5 (Type exact answers, using radicals as needed.) O B. Since r'(t) =0, there is no tangent vector. O Question 6 Question 7 () Question 8Question list K Find a tangent vector at t = 2 for the following parameterized curve. r(t) = (7t, sin 2t,4 cost) Question 2 Choose the correct answer below. O Question 3 O A. 2. - 1.0 O Question 4 O B. (7. -2,4) O C. (7.0,0) Question 5 O D. Since r'(t) = 0. there is no tangent vector. Question 6Question list K Explain how to compute the derivative of r(t) = (f(t),g(t),h(t)> Question 1 Choose the correct answer below. O A. The derivative of r(t) is the vector-valued function r'(t) defined as the cross product of r(t) and the vector O Question 2 consisting of the derivatives of each component of r(t). In other words, r'(t) = (f'(t),g'(t),h'(t)) x (f(t).g(t),h(t)> O B. The derivative of r(t) is the scalar-valued function r'(t) whose value is the dot product of r(t) and the vector consisting of the derivatives of each component of r(t). In other words, r'(t) = (f'(t).g'(t),h'(t)> - (f(t).g(t),h(t)>. O Question 3 O C. The derivative of r(t) is the vector-valued function r'(t) whose components are the first derivatives of the corresponding components of r(t). In other words, r'(t) = (f'(t),g'(t),h'(t)> O D. The derivative of r(t) is the vector-valued function r'(t) whose components are equal to those of r(t). In other Question 4 words, r'(t) = (f(t),g(t),h(t)> Question 5Evaluate the following definite integral. Question list K S (91 + 1+ 716k) dt Question 12 Question 13 Select the correct choice below and fill in the answer boxes to complete your choice. Question 14 O'A. (9i + tj + 716 k) dt = () i+ Question 15 O B. [ (9i + 1 + 715 k ) at = ()i + ( )i + () k +c - 1 Question 16K Compute the indefinite integral of the following function. Question list 2t r(t) = tei+t sint* j- k 1 12 + 9 Question 9 Select the correct choice below and fill in the answer boxes to complete your choice. Question 10 O A. Jrtat= ( Di - ( + ()k +C Question 11 O B. Jrodt = ()i + Di + ( )k Question 12 Question 13Differentiate the following function. Question list K 1(1) = (315 6 W/T. 7) Question 1 Question 2 r'(t) = 00 O Question 3 Question 4 Question 5Question list K Suppose the vector-valued function r(t) = (f(1),g(t),h(t)) is smooth on an interval containing the point to . The line tangent to r(t) at t= to is the line parallel to the tangent vector ' (to) that passes through (f(to) .9 (to) .h(to) ) - For O Question 13 the following function, find an equation of the line tangent to the curve at t= to- Choose an orientation for the line that is the same as the direction of r'. r(1) = (3t- 1, 7t + 2,12), to =1 O Question 14 Question 15 Choose the correct answer below. O A. (2+ 3t,9 + 7t, 1+ 21) Question 16 O B. (2+ 7t,2 + 3t, 1 + 9t) O C. (1+7t,2 + 2t,9 + 3t) O D. (2+ 2t,9 + 3t,1 +7t) Question 17 Media 1 Textbook Ask my instructor