The surface given in spherical coordinates by the equation p = 4 cos t/> is a) the paraboloid z = (x2 + y2)/4 b) the vertical plane x = 4 c) the horizontal plane z 1/4 d) the 2 2 cone x + y 4z e) the sphere 2 2 2 x + y + (z - 2) 4 dx dy dz A particle moves through space with velocity (dt' dt' dt) = (I, I, -3). The temperature at each point (x, y, z) in space is T = x 2 + y2 + z2. The rate of change of temperature with respect to time experienced by the particle as it passes the point (2, -5, 4) is a) 15 b) -20 c) 25 d) -30 e) 35
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Math 27!) Page 4 7. The surface given in spherical coordinates by the equation p = 4 cos t/> is 2 + y2)/4 a) the paraboloid z = (x b) the vertical plane 4 x = c) the horizontal plane z 1/4 2 2 d) the cone x + y 4z 2 2 2 e) the sphere x + y + (z - 2) 4 dx dy dz 8. A particle moves through space with velocity (dt' dt' dt) = (I, I, -3). 2 The temperature at each point (x, y, z) in space is T = x + y2 + z2. The rate of change of temperature with respect to time experienced by the particle as it passes the point (2, -5, 4) is a) 15 b) -20 c) 25 d) -30 e) 35 9. Which one of the following vectors points in a direction perpendicular 222 to the surface zx - xy + yz + 18 = 0 at the point (0, -2, 3). a) <0,> d) <5,> b) <-i,> e) none does c) <4.>
Math 27!) Page 4 7. 8. The surface given in spherical coordinates by the equation p = 4 cos t/> is a) the paraboloid z = (x2 + y2)/4 b) the vertical plane x = 4 c) the horizontal plane z 1/4 d) the 2 2 4z cone x + y e) the sphere 2 2 2 x + y + (z - 2) 4 dx dy dz A particle moves through space with velocity (dt' dt' dt) = (I, I, -3). The temperature at each point (x, y, z) in space is T = x2 + y2 + z2. The rate of change of temperature with respect to time experienced by the particle as it passes the point (2, -5, 4) is a) 15 b) -20 c) 25 d) -30 e) 35 9. Which one of the following vectors points in a direction perpendicular 222 to the surface zx - xy + yz + 18 = 0 at the point (0, -2, 3). a) <0, -2,="" 3=""> d) <5, 2,="" -2=""> b) <-i, 5,="" -2=""> e) none does c) <4. -9,="" 12=""> CAHUE Rectangle CAHUE Rectangle