the height of a certain hill (in feet) is given
h(x,y)=10(2xy-3x^2-4y^2-18x+28y+12)
where,
y is the distance (in miles) north;
x is the distance east of a city;
a)where the top of the hill is located?
b)how high is the hill?

Question

the height of a certain hill (in feet) is given
h(x,y)=10(2xy-3x^2-4y^2-18x+28y+12) 
where, 
y is the distance (in miles) north; 
x is the distance east of a city; 
a)where the top of the hill is located? 
b)how high is the hill?

amistre64 · Answer

setting the partial derivatives to zero will help you find the top, and therefore the height of the hill