Let f(x, y) = x4 - y2 + 3x2 + 2y - 7. The first partial derivatives of f(x, y) are zero at the points 
and 
Use the second derivative test to determine the nature of f(x, y) at each of these points.
A. (-1, 1) relative maximum, (0, 1) neither relative maximum nor minimum
B. (0, 1) relative maximum, (-1, 1) relative minimum
C. (0, 1) no conclusion possible, (-1, 1) minimum
D. (0,1) neither relative maximum nor minimum, (-1, 1) maximum
E. none of these
Answer: A
You might also like to view...
Solve the problem.Let D be the smaller cap cut from a solid ball of radius 8 units by a plane 5 units from the center of the sphere. Set up the triple integral for the volume of D in cylindrical coordinates.
A. 
B. 
C. 
D. 
Determine whether the function is even, odd, or neither.f(x) = (x + 4)(x + 4)
A. Even B. Odd C. Neither
Solve the problem.A ball is dropped from a height of 5.0 m. On each upward bounce the ball returns to 
of its previous height. Find the total vertical distance the ball travels before coming to rest.
A. 8.3 m B. 11.6 m C. 12.6 m D. 12.9 m
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) = (-x)2
A. 
B. 
C. 
D. 