A differentiable function f(x, y)f(x, y) has the property that f(4,3)=2f(4,3)=2 and fx(4,3)=7fx(4,3)=7 and fy(4,3)=−1fy(4,3)=−1. Find the equation of the tangent plane at the point on the surface z=f(x, y)z=f(x, y) where x=4x=4,

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

d≈7.07in

step-by-step explanation: