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monic
Questions (42)
The minute hand on a watch is 7 mm long and the hour hand is 4 mm long. How fast is the distance between the tips of the hands
0 answers
1,186 views
Differentiate.
f(x) = 8 − x^ex/x + ex f '(x) =
1 answer
1,336 views
round 799.9696 to 4 significant figures
1 answer
345 views
round 799.9696 to 4 significant figures
1 answer
338 views
particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. Find the
0 answers
664 views
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,
1 answer
2,346 views
The total cross-sectional area of the load-bearing calcified portion of the two forearm bones (radius and ulna) is approximately
0 answers
681 views
(a) Calculate the mass flow rate (in grams per second) of blood (ρ = 1.0 g/cm3) in an aorta with a cross-sectional area of 2.0
0 answers
1,022 views
Water flowing through a garden hose of diameter 2.73 cm fills a 25.0-L bucket in 1.20 min.
(a) What is the speed of the water
0 answers
862 views
A small ferryboat is 4.00 m wide and 6.00 m long. When a loaded truck pulls onto it, the boat sinks an additional 4.50 cm into
2 answers
6,685 views
Evaluate the limit
limit t^4 − 625/t^3 − 125 t → 5
0 answers
432 views
Prove
cotx-1/cotx+1=1-sin2x/cos2x
2 answers
976 views
A car is designed to get its energy from a rotating flywheel (solid disk) with a radius of 1.00 m and a mass of 600 kg. Before a
2 answers
893 views
A horizontal 790-N merry-go-round of radius 1.30 m is started from rest by a constant horizontal force of 50 N applied
0 answers
938 views
A 280-N sphere 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at 25° with the horizontal. What is
0 answers
674 views
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
1 answer
11,560 views
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
4 answers
4,910 views
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
1 answer
6,761 views
An electric motor rotating a workshop grinding wheel at a rate of 9.80 101 rev/min is switched off. Assume the wheel has a
1 answer
661 views
A dentist's drill starts from rest. After 2.50 s of constant angular acceleration it turns at a rate of 3.0 104 rev/min.
(a) Find
1 answer
925 views
Use the data of this table to find the point between Earth and the Sun at which an object can be placed so that the net
0 answers
789 views
It has been suggested that rotating cylinders about 12 mi long and 4.1 mi in diameter be placed in space and used as colonies.
0 answers
499 views
Find an equation for the ellipse that satisfies the given conditions.
Length of major axis 6, length of minor axis 4, foci on
1 answer
845 views
A skier starts from rest at the top of a hill that is inclined at 9.5° with respect to the horizontal. The hillside is 225 m
1 answer
522 views
A block of mass 2.50 kg is pushed 2.80 m along a frictionless horizontal table by a constant 12.0 N force directed 25.0° below
1 answer
946 views
A 650-kg elevator starts from rest and moves upward for 2.80 s with constant acceleration until it reaches its cruising speed,
1 answer
555 views
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°
2 answers
3,629 views
A skier starts from rest at the top of a hill that is inclined at 9.5° with respect to the horizontal. The hillside is 225 m
1 answer
6,780 views
A 2.1 103-kg car starts from rest at the top of a 5.9-m-long driveway that is inclined at 19° with the horizontal. If an
1 answer
1,001 views
A 52-kg pole vaulter running at 12 m/s vaults over the bar. Her speed when she is above the bar is 0.7 m/s. Neglect air
2 answers
1,869 views
Tarzan swings on a 34.0-m-long vine initially inclined at an angle of 33.0° with the vertical.
(a) What is his speed at the
1 answer
1,754 views
A 7.80-g bullet moving at 520 m/s penetrates a tree trunk to a depth of 4.60 cm.
(a) Use work and energy considerations to find
2 answers
1,243 views
A block of mass 2.50 kg is pushed 2.80 m along a frictionless horizontal table by a constant 12.0 N force directed 25.0° below
0 answers
1,178 views
The volume of a cone is 190 in3. Find a function that models the height h of the cone in terms of its radius r.
1 answer
1,001 views
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
1 answer
2,324 views
The sum of two positive numbers is 90. Find a function that models their product P in terms of x, one of the numbers.
1 answer
3,424 views
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.
1 answer
2,161 views
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
1 answer
2,632 views
A poster is 12 inches longer than it is wide. Find a function that models its area A in terms of its width w.
1 answer
2,697 views
A 3.00-kg block starts from rest at the top of a 27.5° incline and slides 2.00 m down the incline in 1.20 s.
(a) Find the
2 answers
613 views
A 1,080-N crate is being pushed across a level floor at a constant speed by a force of 290 N at an angle of 20.0° below the
0 answers
585 views
A dockworker loading crates on a ship finds that a 21-kg crate, initially at rest on a horizontal surface, requires a 70-N
1 answer
557 views
Answers (2)
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) The
(x+2)(x^2-2x+4)(x-2)(x^2+2x+4)