Find all points where the function has any relative extrema or saddle points and identify the type of relative extremum.f(x,y) = x3 - 12x + y2
A. Relative minimum at (2, 0) and relative maximum at (-2, 0)
B. Relative minimum at (2, 0)
C. Relative maximum at (2, 0)
D. Relative minimum at (2, 0) and saddle point at (-2, 0)
Answer: D
You might also like to view...
Find the missing parts of the triangle. A = 10.5°a = 149 ftb = 176 ftIf necessary, round angles to the nearest tenth and side lengths to the nearest foot.
A. B = 12.4°, C = 157.1°, c = 318 ft B. B1 = 12.4°, C1 = 157.1°, c1 = 318 ft B2 = 167.6°, C2 = 1.9°, c2 = 27 ft C. B1 = 157.1°, C1 = 12.4°, c1 = 318 ft B2 = 1.9°, C2 = 167.6°, c2 = 27 ft D. no such triangle
Identify any horizontal asymptotes in the graph.
A. y = 7
B. y =
C. y = 3
D. None
Find the circle's circumference or area, as requested. Use 3.14 as the approximate value of ?, and round your answer to the nearest tenth.Find the area of the circle.
A. 13.5 yd2 B. 58.1 yd2 C. 14.5 yd2 D. 27 yd2
Solve the problem.An explosion causes debris to rise vertically with an initial velocity of 4 feet per second. The function describes the height of the debris above the ground, s(t), in feet, t seconds after the explosion. What is the instantaneous velocity of the debris 3.3 second(s) after the explosion?
A. -105.6 feet per second B. -41.6 feet per second C. 41.6 feet per second D. 105.6 feet per second