Question

A scope probe in the shape of ellipsoid 4x ^ 2 + y ^ 2 + 4z ^ 2 = 64 enters the earth atmosphere and its surface begins to heat. After one hour on the surface is 8x ^ 2 + 4yz - 16z + 1200 Find the hottest point on the probe surface.​

Answer 1

Answer:

Hottest point on a space probe AA space probe in the shape of the ellipsoid

Step-by-step explanation:

enters Earth's atmosphere and its surface begins to heat. After 1

hour, the temperature at the point (x,y,z)(x,y,z) on the probe's surface is

T(x,y,z)=8x2+4yz−16z+600T(x,y,z)=8x2+4yz−16z+600

Answer 2

Step-by-step explanation:

• The hottest point is
• $( + - ( \frac{2 \sqrt{31} }{3} )( - \frac{4}{3} )( - \frac{4}{3} ))$