Find the function r that satisfies the given condition. r'(t) = (et - cost, sect) ; r(0) = (6,6,6) r(t) =Compute the indefinite integral of the following function. r(t) = (t' - 7t,4t - 7, 19) Select the correct answer below and fill in the answer boxes to complete your choice. O A. r(t)dt = O B. r(t)dt = 7. + CCompute the indefinite integral of the following function. 6+5 r(t ) = teli+t' sint*j+ k It" + 3 Select the correct choice below and fill in the answer boxes to complete your choice. O A. r(t)dt = ( )i + ([ Dj + k O B. Jr()at = ( Di + ( Di + ( ) K +cCompute the indefinite integral of the following function. r(t) = (13 sin t,7 cos 9t,2 sin 5t) Select the correct choice below and fill in the answer boxes to complete your choice. O A. r(t)dt = OB. r(t)dt = + C