Evaluate dy/dt for the function at the point.xy2 = 4; dx/dt = -5, x = 4, y = 1 Give an EXACT answer, no decimal approximations. If necessary, use the forward slash, /, for fractions. If no such value exists, type DNE.

Solve the problem.The graph below shows the first derivative of a function y = f(x). Select a possible graph of f(x). f ‘ (x)

Solve the problem.Water is falling on a surface, wetting a circular area that is expanding at a rate of 3 mm2/s.  How fast is the radius of the wetted area expanding when the radius is 123 mm?  Round your answer to four decimal places.

Find any local extrema of the function and where they occur. y = x3 – 12x + 2Give an EXACT answer, no decimal approximations. If necessary, use the forward slash, /, for fractions.    Local Maximum: ( [xmax], [ymax] )Local Minimum: ( [xmin], [ymin] )

Evaluate dy/dt for the function at the point.x3ey – y3 ln x = 10 dx/dt = 1 x = 1 y = 2

Find the absolute extreme values of the function on the interval. f(x) = tan x,

What is described as a “false connection” in the context of information disorders?

What happens to “switching costs” when a product or service exhibits a strong network effect?

What is Envelopment?

What is Convergence?