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Questions (315)
All edges of a cube are expanding at a rate of 8 centimeters per second.
(a) How fast is the volume changing when each edge is 4
4 answers
asked by
Anonymous
4,258 views
Suppose that two boats leave a dock at different times. One heads due north, the other due east. Find the rate at which the
4 answers
asked by
Hailey
4,902 views
How do I do this related rates problem?
A plane flying horizontally at an altitude of 1 mi and a speed of 510 mi/h passes
4 answers
asked by
Derick
1,229 views
Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the
5 answers
asked by
Breauna
5,878 views
A total revenue function is given by R(x) = 1000(x^2 - 0.1x)^1/2 , where R(x) is the total revenue, in thousands of dollars,
4 answers
asked by
Lina
2,449 views
A plane flying horizontally at an altitude of 1 mi and a speed of 510 mi/h passes directly over a radar station. Find the rate
4 answers
asked by
Peter
856 views
A particle moves along the curve y=lnx so that its abscissa is increasing at a rate of 2 units per second. At what rate is the
4 answers
asked by
Alexa
2,002 views
A particle is moving along the curve y = 4x^2 + 1 in such a way that the y coordinate is increasing at a rate of ½ units per
3 answers
asked by
Carlos
912 views
Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a
3 answers
asked by
Ahmed AlAwadi
463 views
An offshore oil well is leaking oil and creating a circular oil slick. If the radius of the slick is growing at a rate of 4
4 answers
asked by
Amanda
2,060 views
Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 7.5 mi^2/hr. How rapidly is
4 answers
asked by
Ashley
4,556 views
grain is being poured through a chute at rate of 8 ft^3/min and forms a conical pile whose radius of the bottom is always 1/2
3 answers
asked by
Liz
1,649 views
A balloon is being filled with helium at the rate of 4 ft^3/min. The rate, in feet per minute, at which the radius is increasing
3 answers
asked by
Jay
1,897 views
The area of a circular oil slick is increasing at a constant rate of 2 square miles per day. How fast is the radius increasing
3 answers
asked by
Emily
1,770 views
A spherical balloon is inflated so that its volume is increasing at the rate of 3.2 ft3/min. How rapidly is the diameter of the
3 answers
asked by
Aggie123
1,782 views
The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 80 mm?
mm^3/s
4 answers
asked by
kela
4,582 views
At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship B is sailing north at 24
3 answers
asked by
Adam
840 views
A ladder 20 ft long is leaning against an embankment inclined 60 degrees to the horizontal. If the bottom of the ladder is being
3 answers
asked by
Anonymous
3,171 views
Water is being withdrawn from a conical reservoir, 3 metres radius and 10
metres deep at 4 cubic metres per minute. a) How fast
3 answers
asked by
My4ws6
1,466 views
A baloon is 200 m off the ground and rising vertically at the rate of 15 m/sec an automobile passes beneath it travelling along
4 answers
asked by
Basharat
646 views
A 30 foot ladder is leaning against a house(see figure). if the base of the ladder is pulled away from the house at a rate of 2
4 answers
asked by
Isabel
2,994 views
Example: 1 Gas is escaping from a spherical balloon at the rate of 2 ft3 / min .How fast is the surface area shrinking when the
3 answers
asked by
me
1,296 views
Consider the illustration, which shows a rotating beam of light located 0.5 mile from a shoreline. The beam rotates at a rate of
4 answers
asked by
Heather
1,838 views
An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.4 millimeters per minute.
At what rate is the
6 answers
asked by
Anonymous
1,951 views
A spherical balloon is being inflated at a rate of 10 cubic inches per second. How fast is the radius of the balloon increasing
4 answers
asked by
Anonymous
1,157 views
Bacteria are growing in a circular colony one bacterium thick. The bacteria are growing at a constant rate, thus making the area
7 answers
asked by
Joel
1,209 views
A particle is moving along the curve below.
y = sqroot(x) As the particle passes through the point (16, 4), its x-coordinate
4 answers
asked by
lizzy
301 views
A rectangular swimming pool is 8 m wide and 20 m long. Its bottom is a sloping plane, the depth increasing from 1 m at the
4 answers
asked by
Po
2,853 views
a man 6 feet tall is walking away from a lamp post at the rate of 60 feet per minute. when the person is 6 feet from the lamp
3 answers
asked by
homestead high
3,600 views
A 13 foot ladder is leaning against the house when it's base starts to slide away. By the time is 12 feet from the house the
3 answers
asked by
Jonathan
3,075 views
A conical water tank with vertex down has a radius of 10 feet at the top and is 22 feet high. If water flows into the tank at a
3 answers
asked by
Sarah
4,198 views
A ladder 25 feet long that was leaning against a vertical wall begins to slip. Its top slides down the wall while its bottom
3 answers
asked by
Bobby
1,059 views
if a snowball melts so that its surface area decreases at a rate f 1cm^2/min, find the rate at which the diameter decrease when
2 answers
asked by
Briasn-Ismael vargas
757 views
The top of a 24 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate of 4 feet per second. How
4 answers
asked by
Nathan
1,429 views
a road that runs perpendicular to a highway leads to a farmhouse located one mile off the highway an automobile travels down the
4 answers
asked by
diego
1,589 views
A man is 6ft tall and is walking at night straight toward a lighted street lamp at a rate of 5 ft/sec. If the lamp is 20 ft
4 answers
asked by
Trevor
1,606 views
The radius of a circular oil spill is increasing at a rate of 10 feet per hour. How quickly is the surface area changing when
3 answers
asked by
john9999
745 views
A plane flying horizontally at an altitude of 1 mi and a speed of 560 mi/h passes directly over a radar station. Find the rate
3 answers
asked by
Anonymous
2,290 views
A machine lengthens a metal cylinder by rolling it under pressure. The radius of the cylinder decreases at a constant rate of
4 answers
asked by
ashley --- HELP PLEASEE!!!
1,008 views
A tanker is spilling oil into the water resulting in an oil slick that is close to circular. At te time that the slick's
3 answers
asked by
Sarah
1,199 views
An air traffic controller spots 2 planes at the same altitude converging on a point as they fly at right angles to each other.
4 answers
asked by
Alexis
2,088 views
The sun is shining and a spherical snowball of volume 210 ft3 is melting at a rate of 14 cubic feet per hour. As it melts, it
3 answers
asked by
Bubba
1,082 views
A plane flying horizontally at an altitude of 3 mi and a speed of 480 mi/h passes directly over a radar station. Find the rate
3 answers
asked by
Jordan
1,081 views
A 15 ft ladder is leaning against a wall.If the top of the ladder slips down the wall at a rate of 5ft/s, how fast will the foot
4 answers
asked by
Kelly
2,855 views
You are letting the air out of a hot air balloon at a steady rate. The volume of the balloon is decreasing at the rate of 10pi
5 answers
asked by
Anonymous
1,114 views
this is a relate rates problem in calculus
in a right triangle, the hypotenuse is 5 and the vertical side is x and the angle is
3 answers
asked by
Anonymous
4,610 views
Here's one we haven't worked with before: A circular oil slick of uniform thickness is caused by a spill of 1 cubic meter of
3 answers
asked by
Anmy
1,127 views
A street light is at the top of a 27 ft pole. A 6 ft tall girl walks along a straight path away from the pole with a speed of 8
3 answers
asked by
Charles
1,423 views
A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 10 ft/sec. At what rate is the
6 answers
asked by
Amalia
3,321 views
A pole 12 meters long is leaning against a vertical wall of a building. if the foot of the pole is being pulled away from the
3 answers
asked by
Faye
863 views
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Parent Categories (26)
Applications of Derivatives
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