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Questions (311)
water is being siphoned from a cylindrical tank of radius 10m into a rectangular tank whose base measures 20m by 15m. if the
2 answers
asked by
Emily
711 views
Related rates: The volume of a cube is increasing at the rate of 40 mm^3/s. How fast is the surface area of the cube increasing
2 answers
asked by
anonymous
711 views
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.2 ft/s,
3 answers
asked by
Aiton
683 views
Water is leaking out of an inverted conical tank at a rate of 10600.0 cm3/min at the same time that water is being pumped into
2 answers
asked by
Anonymous
668 views
Mechanics are reboring a 6in deep cylinder to fit a new piston. The machine they are using increases the cylinders radius
3 answers
asked by
Peggy
651 views
Please help. I have the answers to these problems but I'd like to know how to solve it step by step.
1. Air is being pumped into
3 answers
asked by
Jane
643 views
A certain calculus student hit Mrs. Evans in the head with a snowball. If the snowball is melting at the rate of 10 cubic feet
2 answers
asked by
Rina
661 views
A spherical snowball is melting so that its diameter is decreasing at rate of 0.1 cm/min. At what is the rate is the volume of
2 answers
asked by
Joe
639 views
A straight driveway perpendicular to a straight highway leads to a house located one mile away. A truck travels past the house
2 answers
asked by
Fred
629 views
Air is being pumped into a spherical hot air balloon at a rate of 50 cm^3/min. Determine the rate at which the radius of the
3 answers
asked by
Kevin
635 views
Assume the dimensions of a rectangle are
continuously changing in a way so that the area, A, of the rectangle remains constant.
3 answers
asked by
Marto
638 views
Hello, I posted a question earlier but now I'm stuck on the second part of the question. Please help me.
Sand is being dumped
2 answers
asked by
Nathaniel
634 views
Related Rates Problem
An isosceles triangle with a base of 20root3 cm long. If the length of the leg decreases at rate 3 cm/h,
1 answer
asked by
Mostafa
628 views
A spherical balloon is being inflated so that, at the time when the radius is 5m, the radius is increasing at the rate of
2 answers
asked by
John
606 views
A 6-foot man walks away from a 16-foot lamppost at a speed of 5 ft/sec. Find exactly the rate at which his shadow is increasing
3 answers
asked by
Madeline
631 views
Air is being pumped into a spherical balloon so that its volume increases at a rate of 80 cubic centimeters per second. How fast
2 answers
asked by
idk
620 views
A street light is at the top of a 15 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
Nikki
599 views
A sphere is increasing in volume at the rate of 3(pi) cm^3/sec. At what rate is the radius changing when the radius is 1/2 cm?
2 answers
asked by
Anonymous
582 views
A plane flying with a constant speed of 23 km/min passes over a ground radar station at an altitude of 5 km and climbs at an
2 answers
asked by
angel
605 views
Oil from a ruptured tanker spreads in a circular pattern. If the radius of the circle increases at the constant rate of 1.5 feet
2 answers
asked by
Karol
605 views
An elastic spherical ballon is being blown up so that the radius is increasing at a rate of 1cm/sec. Calculate the rate at which
2 answers
asked by
Prince
591 views
Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right
2 answers
asked by
jon
579 views
A spherical balloon is leaking air at 2 cubic inches per hour. How fast is the balloon's radius changing when the radius is 2
2 answers
asked by
Jordan
584 views
A particle moves along the curve y = sqr(1+x^3). As it reaches the point (2,3), the y-coordinate is increasing at a rate of
2 answers
asked by
Kate
585 views
A particle is moving along the curve y = 2 √{3 x + 7}. As the particle passes through the point (3, 8), its x-coordinate
2 answers
asked by
Jack
572 views
A particle is moving along the curve y = 2 √{3 x + 7}. As the particle passes through the point (3, 8), its x-coordinate
2 answers
asked by
Jack
584 views
An athlete is running around a circular track of radius 50 meters at the rate of 5 meters per second. A spectator is 200 meters
2 answers
asked by
cynthia
596 views
Water is flowing into a trough at a rate of 100 cubic centimeters per second. The trough has a length of 3 meters and cross
4 answers
asked by
Hao
556 views
A pile of sand in the shape of a cone whose base diameter is 4 times its height is being built up at 12 pi m3/min. How fast is
2 answers
asked by
y
555 views
At a quarry, sand is filling off a conveyor onto a conical pile at a rate of 15 cubic feet per minute. The diameter of the base
2 answers
asked by
peter
567 views
A spherical balloon , initially inflated to a volume of over 30000 cubic meters, springs a leak which causes the radius to
2 answers
asked by
Help please
570 views
Water is flowing freely from the bottom of a conical tank which is 12 feet deep and 6 feet in radius at the
top. If the water is
2 answers
asked by
Adam
565 views
Someone had helped me yesterday, but I need it broken down more because I honestly don't understand any of this?
A plane flying
3 answers
asked by
Callie
546 views
A hot air balloon rising vertically is tracked by an observer located 4 miles from the life off point. At a certain moment, the
2 answers
asked by
Victoria
536 views
A 20' ladder leans against a building. The bottom of the ladder is sliding away horizontally at a rate of 2 feet per second. How
2 answers
asked by
Amy
505 views
Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 6.5 {\rm mi}^2{\rm /hr}. How
1 answer
asked by
PAT
508 views
Water is leaking out of a pool at a rate of 4 cubic inches per second, what is the rate of change of the height of the water at
2 answers
asked by
Eric
487 views
A 10 foot ladder is placed against a vertical all. Suppose the bottom of the ladder slides away from the wall at a constant rate
1 answer
asked by
Nadia
37 views
A triangular trench 40ft long is 2ft across the top, and 2ft deep. If water flows in at the rate of 3ft³/min, find how fast the
3 answers
asked by
Leeya
511 views
The radius of a conical tank is 2.7 meters and the height of the tank is 4.3 meters. Water is flowing into the tank at a
2 answers
asked by
Anon
493 views
A boat is held at a dock by a bow line which is wound about a circular windlass 3 feet higher than the bow of the boat. How fast
4 answers
asked by
Kaya
500 views
The area of a circle is changing at a rate of 2 in.^(2)/sec. At what rate is its radius changing when the radius is 9 in.?
a.
2 answers
asked by
Angel
488 views
A balloon is being inflated,the radius of the balloon,initially zero,increases at the rate of 9 ft/sec.How fast is the volume
2 answers
asked by
me
483 views
Water is leaking out of an inverted right conical tank at a rate of 0.0115 m^3/min. At the same time water is being pumped into
1 answer
asked by
Joe
481 views
A baseball player hits a line drive to center field. He runs from second to third at 20 feet/sec. How fast is the distance from
2 answers
asked by
Shawn
471 views
the edges of a cube are increasing at the rate of 5 in/min. How fast is the volume changing when each side is 4 in.
1 answer
asked by
dalton
460 views
A particle is moving along the curve . As the particle passes through the point , its -coordinate increases at a rate of units
1 answer
asked by
Anonymous
475 views
A ladder 5 m long is leaning against a wall. The bottom of the ladder is pulled along the ground at rate 2 cm/s . How fast is
1 answer
asked by
anjali
474 views
An observer is located on the ground 6 kilometers from the point where a space shuttle is launched (vertically). When the
1 answer
asked by
Thien Nguyen
452 views
Water is leaking out of an inverted conical tank at a rate of cubic centimeters per min at the same time that water is being
1 answer
asked by
neil
462 views
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