Let g be the function given by g(x)= x^2e^kx, where k is constant. For what value of k does g have a critical point at x=2/3

Abag contains 4 red, 7 blue and 5 yellow marbles. event a is defined as drawing a yellow marble on the first draw and event b is defined as drawing a blue marble on the second draw. if two marbles are drawn from the bag, one after the other and not replaced, what is p(b|a) expressed in simplest form? a. 7/16 b. 7/15 c. 14/16 d. 14/15

X2 + y 2 = 36 x + y = 6 solve the system of equations.

What is the perimeter of an isosceles triangle with each leg measuring 2x+3 and the base measuring 6x-2?