Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of d 2 at this point. dx X= sec t-1, y= cos t; t= Write the equation of the tangent line. Y= X+ (Type exact answers, using radicals as needed.)2 d What is the value of : at this point? d? d2x_ FD {Type an exact answer. using radicals as naadad.) Sketch the coordinate axes and then include the vectors u, v, and u *v as vectors starting from the origin. u = Bi, v= - 2j Which of the following graphs contains u, v, and u xy? O A. +z OB. OXY UXT O C. OD. +V UXTFind the area at the triangle determined by the peints P, Q. and R. Find a unit nectar perpendicular ta plane FOR. P\". 1, 2},Gi-3.U,-1},R{U,- 2.1} r:n The area cut the triangle is E. [Type an exact answer, using radicals as needed} Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR . P( - 1,1, -2), Q(- 2,0,1), R(0, - 2, - 1) The area of the triangle is .(Type an exact answer, using radicals as needed.)Find the volume of the parallelepiped (box) determined by u, v, and w. LI V W 2i + j 4i -j + 3k 2i + 2k The volume of the parallelepiped is units cubed. (Simplify your answer.)Find the area of the triangle whose vertices are given below. A(0,0) B(-2,5) C(5,1) The area of triangle ABC is square units. (Simplify your answer.)Find the area of the triangle whose vertices are given below. A( -7,1) B(1, -5) C(7, -5) III The area of triangle ABC is Square units. (Simplify your answer.)Find the area of the triangle T with vertices O(0,0,0), P(2,1,4), and Q(5,5,4). (The area of a triangle is half the area of the corresponding parallelogram.) The area is (Type an exact answer, using radicals as needed.)Find the volume of a parallelepiped if four of its eight vertices are A(0,0,0), B(3,5,0), C(0, - 2,5), and D(4, - 5,6). The volume of the parallelepiped with the given vertices A, B, C and D is units cubed. (Simplify your answer.)Determine whether the given points are coplanar. A(4,2,2), B(2, - 1,1), C(3,3,2), D(7,4,4) The four points are because the volume of the parallelpiped is (Simplify your answr not coplanar coplanar