Find the normal line for the level surface f(x,y,z) = 5x3 + cos (5y) + In (6z) = c at the point (4,7,7). o a. r(t) = <240.000, 2.141, 0.143> +t <4,7,7> o b. r(t) = <4,7,7> + t <240.000, 2.141, 0.143> %3D O c. r(t) = <240.000, 2.141, 0.143> - t <4,7,7> o d. r(t) = <4,7,7> - t <240.000, 2.141, 0.143>
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- Find the average value of the square of the distance from the point P(x, y) in the disk x2 + y2 <=1 to the bound-ary point A(1, 0).Find a normal vector to the level curve f (x, y) = c at P. f(x, y) = 6 − 2x − 3y, c = 6, P(0, 0)find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. x2 + y2 + z2 = 3, P0(1, 1, 1)
- find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. cos πx - x2y + exz + yz = 4, P0(0, 1, 2)Find a normal vector to the level curve f (x, y) = c at P. f(x, y) = xy c = −3, P(−1, 3)find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. x2 + y2 - 2xy - x + 3y - z = -4, P0(2, -3, 18)
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