First, determine whether this parabola opens upward, and has a minimum, or opens downward, and has a maximum. Since the first term is negative, this opens downward, so you're finding a maximum. Next, figure out where the vertex is. The axis of symmetry is -b/2a, when you consider th...
According to multivariable Calculus, the direction of the gradient vector of a function is the direction in which the function increases most rapidly. Then we can use that to find the actual maximum rate of increase of the function. Answer and ...
Find the maximum and minimum volumes of a rectangular box whose surface area is 1500 square cm and whose total edge length is 200 cm. Find the maximum and minimum volumes of a rectangular box whose surface area is 1500 cm^2 and whose tota...
In mathematics, the second partial derivative test is a method in multivariable calculus used to determine if a critical point of a function is a local minimum, maximum or saddle point. En matematiko, la dua parta derivaĵa provo estas maniero en multvariebla kalkulo por kontroli ĉu kri...
A sinusoidal function has a maximum at the point ( π/4 , 3) and the next minimum at the point ( 7π/12 , −1). Determine a cosine equation for this function.