monic

This page lists questions and answers that were posted by visitors named monic.

Questions

The following questions were asked by visitors named monic.

A poster is 12 inches longer than it is wide. Find a function that models its area A in terms of its width w.

The height of a cylinder is three times its radius. Find a function that models the volume V of the cylinder in terms of its radius r.

A rectangle has an area of 15 m2. Find a function that models its perimeter P in terms of the length x of one of its sides.

The sum of two positive numbers is 90. Find a function that models their product P in terms of x, one of the numbers.

A right triangle has one leg four times as long as the other. Find a function that models its perimeter P in terms of the length x of the shorter leg.

A skier of mass 74 kg is pulled up a slope by a motor-driven cable. (a) How much work is required to pull him 90 m up a 30° slope (assumed frictionless) at a constant speed of 3.0 m/s? J (b) What power (expressed in hp) must a motor have to perform this t...

Find an equation for the ellipse that satisfies the given conditions. Length of major axis 6, length of minor axis 4, foci on y-axis

The wheels of a car have radius 11 in. and are rotating at 800 rpm. Find the speed of the car in mi/h. mi/h

A truck with 48-in.-diameter wheels is traveling at 45 mi/h. (a) Find the angular speed of the wheels in rad/min. rad/min (b) How many revolutions per minute do the wheels make? rev/min

The sprockets and chain of a bicycle are shown in the figure. The pedal sprocket has a radius of 4 in., the wheel sprocket a radius of 2 in., and the wheel a radius of 13 in. The cyclist pedals at 45 rpm. (a) Find the angular speed of the wheel sprocket....

Prove cotx-1/cotx+1=1-sin2x/cos2x

If f(x) = 9x2 − x3, find f'(2) and use it to find an equation of the tangent line to the curve y = 9x2 − x3 at the point (2, 28).

round 799.9696 to 4 significant figures

Differentiate. f(x) = 8 − x^ex/x + ex f '(x) =

Answers

The following answers were posted by visitors named monic.

(x+2)(x^2-2x+4)(x-2)(x^2+2x+4)

Hooke's law describes a certain light spring of unstretched length 32.0 cm. When one end is attached to the top of a door frame and a 5.40-kg object is hung from the other end, the length of the spring is 46.5 cm. (a) Find its spring constant. kN/m (b) Th...