The marginal cost of drilling an oil well depends on the depth at which you are drilling; drilling becomes more expensive, per meter, as you dig deeper into the earth. Let C (x) be the marginal cost, in rands per meter, with x the depth, in meters. If the marginal costs are a rands up to a depth of 900 meters and increases at a constant rate of b rands per meter after a depth of 900 meters, 1.1 Write down a formula for C' (x) if x e (900, o). 1.2 Find the variable cost of increasing the depth of an existing well from 900 to 1750 meters.

If the intensity of a photon from an X-ray tube is 350 and the intensity measured at the detector is 50, what is the total attenuation at that point (rounded to 2 decimal places).

A trough is 16 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 14 ft3/min, how fast is the water level rising when the water is 6 inches deep? Step 1 Let h be the water's height and b be the distance across the top of the water. Using the diagram below, find the relation between b and h. 3 h Step 2 The volume of the water is as follows. V = 16 8 (3h)(h) 24h 24h?

A jet is approaching a radar station with a speed of 1,256 mph and a stable altitude of 9504ft. When the radar registers a distance of 2.68 miles to the plane, what is the rate of change (in mph) of the distance from the radar station to the jet? (Round to 1 decimal place)