In the calculation of confidence intervals, the value is used for large samples, while the value is used for small samples.

Find the absolute extreme values of the function on the given interval.h(x) = x + 4 -3 ≤ x ≤ 3 Absolute Maximum Value: [max] Absolute Minimum Value: [min]

Solve the problem.If f(2) = 7, f'(2) = 3, g(2) = -3, g'(2) = -5, find (f/g)'(2)Give an EXACT answer, no decimal approximations. If necessary, use the forward slash, / ,for fractions. 

Solve the problem.A ladder is slipping down a vertical wall. If the ladder is 17 ft long and the top of it is slipping at the constant rate of 3 ft/s, how fast is the bottom of the ladder moving along the ground when the bottom is 8 ft from the wall?  

Solve the problem.A company knows that the unit cost C and the unit revenue R from the production and sale of x units are related by .  Find the rate of change of unit revenue when the unit cost is changing by $8/unit and the unit revenue is $1000.  

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