Consider the function f(x, y)=(ex−x)sin(y). Suppose S is the surface z=f(x, y). (a) Find a vector which is perpendicular to the level curve of f through the point (2,3) in the direction in which f decreases most rapidly.

a

step-by-step explanation:

a

sine

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet