6. [0/3 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 10.1.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Write the equation of the sphere in standard form. x2 + 12 + 22 + 4x - 6y - 4z = -1 Find its center and radius. center (x, y, z) =( (-2, 1,2) X radius 5 X Need Help? Read It Watch It Submit Answer 7. [-/1 Points] DETAILS SESSCALC2 10.1.018.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find an equation of a sphere if one of its diameters has endpoints (3, 5, 4) and (5, 7, 8). Need Help? Read It Master It Submit Answer 8. [-/1 Points] DETAILS SESSCALC2 10.1.036. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the volume of the solid that lies inside both of the spheres x2 + 12 + z2 + 2x - 4y + 42 +5=0 and x2 + 12 + 22 = 4. Need Help? Read It Submit Answer6. [1/3 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 10.2.034. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) Find the unit vectors that are parallel to the tangent line to the curve y = 8 sin x at the point (7/6, 4). (Enter your answer as a comma-separated list of vectors.) (b) Find the unit vectors that are perpendicular to the tangent line. (c) Sketch the curve y = 8 sin x and the vectors in parts (a) and (b), all starting at (7/6, 4). y 10 10 -5 5 -5 5 -5 -5 O O 10 - X X 5 -5 5 -5 A -5 -5 O o Need Help? Read It2. [1/2 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 10.3.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.) a = (1, 0, 2), b = (2, -4, 0) exact 78.463 X approximate 78 Need Help? Read It