Abackyard's fencing in length is five times its width. Ifthe fenoc'o length io decreasing 2 inchco per minute, what rate io the width changing? When the area is 20 sqr in., what is the rate the area is changing?

Q: A cubical crystal is growing in size. Find the approximate change in the length of a side when the…

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Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: GIven: Altitude is increasing at a rate of 1 cm/min Area is increasing at a rate of 4.5 sq. cm/min…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Given Data: The increasing rate of the altitude of the triangle is: dhdt=3 cm/min The increasing…

Q: . An airplane flying on a straight flight path will be exactly above a radar tracking station, which…

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Q: The area of a square is increasing at a rate of 56 centimeters squared per second. Find the rate of…

A: Given data÷ Rate of change of area  =dAdt=56cm2/s Side of square =a=4cm We need to find dadt=?

Q: A square has a side length that is decreasing at a rate of 8 cm per second. What is the rate of…

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Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

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Q: Movement along the San Andreas Fault Averages 6 cm/year. At this rate, how long will it take for Los…

A: Given : Average movement of San Andreas Fault= 6 cm/year

Q: The length, s, of each side of an equilateral triangle is increasing at a rate of 13 per foot per…

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Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: The objective is to find the rate at which base of the triangle is changing when altitude is 10…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Here we use the formula of area of triangle. First we differentiate area with respect to time and…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: Let h be the altitude, b be the base and A be the area of the triangle at any time t. Given that,…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: Given that  the altitude of a triangle increases at the rate of 1 cm/min while the area of the…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: Given- The altitude of  a triangle is increasing at a rate of 1 cm/min. and the area of the triangle…

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Let the base of triangle be denoted by b Let the altitude be denoted by a  So, area of triangle…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

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Q: The radius of a sphere is increasing at a rate of 4 inches per minute. Find the rate of change of…

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Q: The radius of a sphere is increasing at a rate of 4 inches per minute. Find the rate of change of…

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Q: The radius of a sphere is increasing at a rate of 4 inches per minute. Find the rate of change of…

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Q: The sides of a square are increasing at the rate of 2 feet per minute each. Find the rate at which…

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Q: Each of two sides of a triangle are increasing at the rate of 1⁄2 foot per second, and the included…

A: Rate of increase in side lengths = 0.5 ft/s Rate of decrease in angle = -2 degree/s Angle between…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Find the base where area and altitude is already given, then the formula of the area of a triangle…

Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 8…

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Q: The area of a square is increasing at a rate of 64 centimeters squared per second. Find the rate of…

A: The Answer is :           Result = 8  The rate of change of the side is 8  cm/sec

Q: A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at the…

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Q: Tires of a bicycle have radius 30 inches and are turning at the rate of 2000 revolutions per hour.…

A: For a circle of radius r its circumference is given by 2πr. For a circle rolling on the ground in…

Q: The altitude (or height) of a triangle is increasing at a rate of 2.5cm/min while the area of the…

A: It is known that, the area of the triangle with the base b and altitude a is

Q: The rate of change of the area enclosed between the circle and the square is square meters per…

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Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Given data is : dhdt=+3cm/min and dAdt=+3cm2/min h=7cm , A=86cm2 where A is area of triangle, h is…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

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Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

A: Let r be the radius and V be the volume of Sphere drdt=2 inches/min radius = r = 9 inches V=43πr3

Q: In a right triangle the hypotenuse is increasing at a rate of 0.1 ft/s. When the area of the…

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Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Area of triangle=1/2* base*height

Q: The sides of a cube increase at a rate of K cm/s. When the sides have a length of 2 cm, the rate of…

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Q: The area of a square is increasing at a rate of 64 centimeters squared per second. Find the rate of…

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Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square…

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Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: The altitude of a Tringle os increasing at a rate

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: Consider, the altitude of a triangle is "h" ,the base of triangle is "b"and the area of triangle is…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

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Q: the length of a rectangle is increasing at a rate of 2 feet per minute, and its width is decreasing…

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Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

A: V= 43πr3 Here V is the volume and r is the radius.

Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

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Q: . Two cubic meters per hour of water are cooled from 30 °C to 4 °C. What is the rate of heat…

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Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

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Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

A: Given ;  The radius of a sphere is increasing at a rate of 2 inches per minute.

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Let height of altitude=h ,Base=b and Area=A  Given dh/dt=3cm/minutes And dA/dt=4cm2/minutes

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Let altitude = h  Area= A Base=B Given dh/dt= 1 , dA/dt=2  We have to find dB/dt at h=10 and A=110…

Q: A6 foot tall man is walking at a rate of 40 metres per mimite directly away from a wall with a toong…

A: Given query is to find the rate of change of height of the shadow.

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

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Q: 5. The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the…

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