calprocon

The pressure p (]b/in.2) and the volume v (in.3) in a cylinder, are related by the equation pv = 3650 Use any means to find the rate of change of volume with respect to pressure, at p= 20.0 Ib/in.2.

• -9.31

• 9.13

• 9.31

• -9.13

Find the slope of the tangent to the curve y = vx at x = 4.

• 1/2

• 1/5

• 1/3

• 1/4

The equation of the elliptical arch is x²/8.752 + y2/6.252 - 1 Evaluate the slope where the arch touches the beam at the point (4.00, 5.56).

• -0.376

• -0.367

• 0.376

• 0.367

A rope runs over a pulley at A and is attached at B as shown in the figure. The rope is being wound in at the rate of 4.00 ft/s. How fast is B rising when AB is horizontal?

• 7.47 ft/s

• 6.47 ft/s

• 4.47 ft/s

• 5.47 ft/s

A horizontal trough 10.0 ft long has ends in the shape of an isosceles right triangle. If water is poured into it at the rate of 8.00 ft³/min, at what rate is the surface of the water rising when the water is 2.00 ft deep?

• 0.100 ft/min

• 0.300 ft/min

• 0.200 ft/min

• 0.400 ft/min

As a person is jogging over a bridge at 5.00 ft/s, a boat , 30.0 ft beneath the jogger and perpendicular to the bridge, passes directly underneath at 10.0 ft/s. How fast are the person and the boat separating 3.00 slater?

• 8.33 ft/s

• 6.33 ft/s

• 7.33 ft/s

• 5.33 ft/s

Assume that the strength of a rectangular beam varies directly as its width and the square of its depth. Find the dimensions of the strongest beam that can be cut from a round log 12.0 inches in diameter

• 6.39 in by 8.90 in

• 6.93 in by 9.80 in

• 6.93 in by 8.90 in

• 6.39 in by 9.80 in

A computer company determines that its profit equation (in millions of dollars) is given by P = x3 -48 x² + 720x1000, where x is the number of thousands of units of software sold and 0 ≤ x ≤ 40. Optimize the manufacturer's profit.

• $12 billion

• $13 billion

• $14 billion

• $15 billion

Find the average value of f(x) = vx on the interval [0, 16].

• 7/3

• 5/3

• 6/3

• 8/3

Find the area bounded by the curves v² = 12 and y² = 24x36.

• 7

• 6

• 8

• 9