3. [0.5/1 Points] DETAILS PREVIOUS ANSWERS LARCALC11 14.4.022. MY NOTES Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given density. y = cos 8 y = 0 X = 0 X = 4 p = ky m = k ( x , y ) = 1.76215 2 , 2k X Need Help? Read ItSubmit Answer 10. [0/1 Points] DETAILS PREVIOUS ANSWERS LARCALC11 11.5.066. MY NOTES ASK YOUR TEACHER PRACTICE ANOT Consider the following planes. -3x + y+ z = 3 6x - 2y + 32 = 9 (a) Find the angle between the two planes. (Round your answer to two decimal places.) 136.88 X (b) Find a set of parametric equations for the line of intersection of the planes. (Use t for the parameter. Enter your answers as a comma-separated list of equations.) (t, 3t, 3 X Need Help? Read It Submit Answer13. [0.5/1 Points] DETAILS PREVIOUS ANSWERS LA Verify that the two planes are parallel. -x + 6y+ 2z = 5 1 ZX + 3y +2 = 6 2 Find the normal vector, n, , to -x + 6y + 2z = 5. n, = Find the normal vector, n,, to 1 X + 3y + z = 6. 2 n. ,3, 1> Because n1 = 5 * n, the planes are parallel. Find the distance between the planes. 0.155 X Need Help? Read It Submit Answer14. [0/1 Points] DETAILS PREVIOUS ANSWERS LARCALC11 11.5.096. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH Find the distance between the point and the line given by the set of parametric equations. (Round your answer to three decimal places.) (8, - 7, 8) ; x = 2t, y = t - 3, 2 = 2t + 2 40.649 Need Help? Read It Submit Answer 15. [0/1 Points] DETAILS PREVIOUS ANSWERS LARCALC11 11.5. 106. MY NOTES ASK YOUR TEACHER The figure shows a chute at the top of a grain elevator of a combine that funnels the grain into a bin. Find the angle between two adjacent sides. (Round your answer to one decimal place.) 14.1 X o 8 in. 8 in. 8 10 6 in. 6 in. Need Help? Read It FB S 8 O A 5 6 2 W