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Questions (311)
A rocket fired straight in the air is being tracked by a radar station 3 miles from the launching pad. If the rocket is
3 answers
asked by
Nate
1,778 views
Water is flowing at the rate of 50m^3/min from a concrete conical reservoir of base radius 45m and height 6m. How fast is is the
3 answers
asked by
Peggy
1,537 views
A particle moves along the curve y = 3x2 + 1 in such a way that the y value is increasing at the rate of 3 units per second. At
3 answers
asked by
emma
1,443 views
A 6ft tall woman is walking away from a srteet lamp at 4 ft/sec that is 24ft tall. How fast is the length of her shadow
4 answers
asked by
Luis
1,387 views
A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a
2 answers
asked by
jin
1,300 views
Sand falls from a conveyor belt at a rate of 20 m^3/min onto the top of a conical pile. The height of the pile is always 3/4 of
1 answer
asked by
Avi
1,304 views
A plane, flying horizontally at an altitude of 1 km and a speed of 500 km/hr, passes directly over a radar station. find the
2 answers
asked by
TANYA
1,315 views
Can someone tell me how to do this type of problem? A particle moves along the curve y=sqrt(1+x^3). As it reaches the point
2 answers
asked by
Susie
1,237 views
a 5m ladder rests against a vertical wall. The top of the ladder begins sliding down the wall at 2m/sec, while the foot of the
2 answers
asked by
Lost One
1,252 views
A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 7 ft/s along
2 answers
asked by
kela
1,229 views
Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the
2 answers
asked by
Tanveer
1,223 views
1a. 15 ft ladder is placed against a vertical wall. the bottom of the ladder is sliding away from the wall at a rate of 2
2 answers
asked by
Trevor
1,207 views
A pebble is dropped into a pond, causing ripples in the form of concentric circles. The radius r of the outer ripple is
2 answers
asked by
Anonymous
1,201 views
A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a
2 answers
asked by
laquisha
1,201 views
a ladder 6 feet long leans against a vertical building. the bottom of the ladder slides away from the building horizontally at
2 answers
asked by
fadea
1,141 views
Water is running into an open conical tank at the rate of 9 cubic feet per minute. The tank is standing inverted, and has a
1 answer
asked by
Lacy
1,146 views
The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at
2 answers
asked by
M
1,125 views
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6 cubic feet per minute. The
2 answers
asked by
Anonymous
1,118 views
assume that oil spilled from a ruptured tanker spreads in a circular pattern whose radius increases at a constant rate of 2 feet
2 answers
asked by
Joanna
1,058 views
A ladder 30 ft. long is leaning up against a building. If the top of the ladder is being pulled up the wall of the building at a
7 answers
asked by
Alex
1,034 views
Water is falling on a surface, wetting a circular area that is expanding at a rate of 9 mm2
/s. How fast is the radius of the
2 answers
asked by
jennifer
992 views
Sand falls from a conveyor belt onto a conical pile at a rate of 6ft/mi^3. The radius of the base is always equal to two-thirds
3 answers
asked by
Jace
1,017 views
A street light is at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a
1 answer
asked by
neil
1,013 views
A cylindrical tank, with height of 15 m and diameter 4m, is being filled with gasoline at a rate of 0.5m^3 / min.
a) At what rate
3 answers
asked by
Nevin
980 views
1)Suppose Q = x^3 y^2 . If [dQ/dt] = −1 and [dx/dt] = 2, find [dy/dt] when
x = 4 and y = 5 . [dy/dt] =______ 2)Let A be the
3 answers
asked by
Mulan
933 views
Gravel is being dumped from a conveyor belt at a rate of 15 ft^3/hr and its courseness is such that is forms a pile in the shape
2 answers
asked by
Sam
933 views
Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right
3 answers
asked by
Nathan
944 views
water in a paper conical filter drips into a cup. let x denote the height of the water in the cup. if 10 in^3 of water are
3 answers
asked by
rachel
911 views
2. A metal rod has the shape of a right circular cylinder. As it is being heated, its length
is increasing at a rate of 0.005
1 answer
asked anonymously
112 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
2 answers
asked by
Sarah
887 views
A man starts walking north at 3ft/s from a point P. Five minutes later, a woman starts walking south at 6ft/s from a point 500ft
1 answer
asked by
L.J
906 views
Gravel is being dumped from a conveyor belt at a rate of 15 ft^3/hr and its coarseness is such that is forms a pile in the shape
3 answers
asked by
Izzy
880 views
(It's a related rate question)
A man 6ft tall walks away from a lamp post (15ft) at 5ft/sec. How fast is his shadow lengthening?
3 answers
asked by
Nikki
901 views
A man of height 1.7 meters walks away from a 5- meter lamppost at a speed of 1.1 m/s. Find the rate at which his shadow is
2 answers
asked by
Destini Ray
857 views
a boy is blowing a spherical balloon at a rate of 50 cm3/s.at what rate is the radius of the balloon changing when the radius is
2 answers
asked by
jj
807 views
Water is leaking out of an inverted conical tank at a rate of 11400 cm^3/min at the same time that water is being pumped into
1 answer
asked by
shelby
1,170 views
Wheat is poured on the ground at a rate of 12 ft^3/s. The pile forms a cone whose altitude is always three fourths of the
2 answers
asked by
Candy
1,063 views
An inverted conical tank is being filled with water, but it is discovered that it is also leaking water at the same time. The
3 answers
asked by
Ryan
1,001 views
A road perpendicular to a highway leads to a farmhouse located 6 mile away. An automobile traveling on the highway passes
2 answers
asked by
Nicole
826 views
Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 9 cubic feet
2 answers
asked by
Abby
785 views
Resolved QuestionShow me another »
AP Calculus related rates problem? The volume V or a cone (V = 1/3 ð r² h) is increasing at
2 answers
asked by
kelli
780 views
At a given moment, a plane passes directly above a radar station at an altitude of 7 miles.
(a) If the plane's speed is 400 mph,
2 answers
asked by
Anna
763 views
A street light is mounted at the top of a 19-ft-tall pole. A man 5.5 feet tall walks away from the pole with a speed of 14 ft/s
2 answers
asked by
Edward
780 views
Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right
2 answers
asked by
Ash
768 views
The average cost per item, C, in dollars, of manufacturing a quantity q of cell phones is given by
C= (a/q) + b where a and b are
2 answers
asked by
piper
763 views
Water is being poured into an inverted cone(vertex down) of radius 4 in and height 10 in at a rate of 3 in^3/sec. Find the rate
3 answers
asked by
Trevor
739 views
A baseball player is running from the at 20 ft/sec. At what rate is his distance from the home plate changing when he is 30 ft
2 answers
asked by
Pauline
746 views
a water tank is created by revolving the graph y=1/x about the y-axis, with the bottom of the tank at y=1. the volume of the
2 answers
asked by
Slaya
724 views
A barge whose deck is 5 metres below the level of a dock is being drawn in by
means of a cable attached to the dock and passing
2 answers
asked by
My4ws4
724 views
I don't quite understand how to go about solving these so if you could explain them It would be much appreciated! ^o^
1. The
5 answers
asked by
Lata
715 views
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Parent Categories (25)
Applications of Derivatives
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