The height of a hill (in feet) is given by h(x, y) = 30(14 - 5x² - 2y² + 3xy + 30x - 18y) where x is the distance (in miles) east and y is the distance (in miles) north of your cabin. If you are at a point on the hill 1 mile north and 1 mile east of your cabin, what is the rate of change of the height of the hill (a) in a northerly direction and (b) in an easterly direction?
a. (a) 570 ft/mi, (b) 690 ft/mi
b. (a) –570 ft/mi, (b) 690 ft/mi
c. (a) 690 ft/mi, (b) 570 ft/mi
d. (a) 690 ft/mi, (b) –570 ft/mi
b. (a) –570 ft/mi, (b) 690 ft/mi
Mathematics
You might also like to view...
Find a general expression for the slope of a tangent line to the indicated curve.y = 8 - 8x3
A. 8 - 24x2 B. -24x2 C. -24x3 D. 8 - 8x2
Mathematics
Find the constant term to be added to the expression to form a perfect square trinomial.x2 + 8x
A. 64 B. 16 C. 0 D. -16
Mathematics
Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = |7x|
A. 
B. 
C. 
D. 
Mathematics
Construct a truth table for the statement.(p ? ~q) ? (~p ? q)
A. 
B. 
C. 
D. 
Mathematics