Find the volume of the solid obtained by rotating the region bounded by y = x² , y = 0, and x = 1, about the y-axis. V =
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- The vector product of vectors A and B has magnitude 20.0 m² and is in the+z-direction. Vector A has magnitude 8.0 m and is in the -z-direction. Vector B has no z-component What is the direction angle 0 of vector B measured from the +y-direction to the +z-direction?= 2. At any point of the curve x 3 cos t, y = 3 sin t, z = 4 t, find (i) Tangent vector (ii) Unit tangent vectorThe x and y coordinates of point P are (-8.50 m, -7.00 m). What is the polar angle of point P?
- Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR . P(-1,1,0), Q(0,0,1), R(0,0, – 1)Determine the volume V and total surface area A of the solid generated by revolving the area shown through 180° about the z-axis. Answers: V= i A = i 2 54 mm mm³ mm² 26 mm 21 mmVectors A and B are in the xy plane.Vector A has a magnitude of 8 units and an angle of 130 degrees.Vector B has components Bx=-7.72 and By = -9.20.What is the angle between the negative y angle and the vector product A x B?