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D Question 6 4.5 pts ? Let (1, -2, 3) be the center of the sphere S. Find the radius of S if it touches the plane z = -1. O V10 0 4 O None of the choices is correct. 0 2 O V5O V5 D Question 7 4.5 pts Find an equation of the plane containing the line L1 : * = 1+t, y = -2+3t, z=4-t and parallel to the line L2 : x = 2t, y = 3+t, z= -3+4t O 13x - 6y - 5z = 5 O 13x + 6y - 5z = 33 O 2x - y - z=0 O 2x ty - z = -4 O 13x + 6y - 5z = -19D Question 5 4.5 pts The space curve C is defined by the vector function 888 r(t) = - 1 244 (t - 1 ) 2 i + e2t-4 j + In(t - 1) k Which of the following is/are correct? P. The domain of the function is (1, oo). Q. The vector (-2, 2, 1) is a tangent vector to the curve C at t = 2. R. The vector (-1, 3, -8) is orthogonal to the tangent line of the curve C at t = 2. O Q only O P and Q only O P and R only O Q and R only O P, Q, and R