The volume V of a gad varies inversely as its pressure P. If V = 40 cm^3 when P = 60 g/cm^2, find V when P = 80g/cm^2.

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A: Given, The diameter of the circular plate,d=3.5feet The radius of the circular…

Q: each side of a square increases at a rate of 1.5cm/sec .also find the rate at which the area of the…

A: Given,   Each side of a square increases at a rate of 1.5 cm/sec

Q: A cylindrical pipe has inner diameter of 7 cm and water flows through It at 192.5 liters per minute.…

A: Topic - mensuration

Q: two legs of a right triangle are reach 70 cm. if one leg grows at the rate of 5cm/min and the other…

A: The solution is given below in the next step:

Q: Each side of an equilateral triangle measures 3 cm, with a possible error of 0.1 cm. Using…

A: This question is taken from the differentiation in which we have to find the relative error in the…

Q: Calculate Kinetić Energy What is the Kinetic Energy from the motion of a 0.06-kg tennis ball…

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Q: What is the rate of change of the area?

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Q: A ladder 15 ft long leans against a vertical wall. If the top slides down at the rate of 2 ft per…

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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 top of a 10 ft ladder slides down a vertical wall at a rate of 1 ft/sec. How fast is the…

A:

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

A: Given,dAdt=-4 cm2/minA=100cm2Let,x=side of the equilateral triangle find dxdt when dAdtis decreased…

Q: Water is poured into a conical tank 6 m across the top and 8 m deep at the rate of 10 m3min. How…

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Q: A kite 30 m above the ground moves horizontally at a speed of 10 m/min. At what rate is the angle…

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Q: A baseball diamond has the shape of a square with sides 90 feet long, suppose the player is running…

A: It is given that a baseball diamond has the shape of square with side 90 feet long. Construct the…

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A: Given            The pressure at 70 feet=140

Q: A trough is 10 feet long and its ends have the shape of isosceles triangles that are 3 feeta cross…

A: To find: The rate of incresing level of the water. Given information: The trough is 10 feet long…

Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: let side of triangle = x    Given

Q: As a circular metal griddle is being heated, its diameter changes at a rate of 0.01 cm/min. Find the…

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Q: A man drives at a rate of 25 kph towards the foot of an 8-m tall monument. At what rate is he…

A: Topic = Algebra

Q: When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01…

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Q: The original 24 m edge length x of a cube decreases at the rate of 2m/min.   When x=2 m, the…

A: Given,           The original 24 m edge length x of a cube decreases at the rate of 2 m/min.We know…

Q: All edges of a cube are expanding at a rate of 8 mm per hour. At what rate is the volume of the cube…

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Q: The volume of a sphere is changing at a constant rate. Show that the surface area changes at a rate…

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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: 1. One leg of a right triangle decreases at 1 in./min. and the other leg increases at 2 in./min. At…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: If the sides of an equilateral triangle are increasing at a rate of 6 m/min. How fast is the area of…

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Q: When a circular plate of metal is heated in a oven, its radius increases at a rate of 0.05 cm/min.…

A: drdt=0.05cm/minradius, r=52cmArea=πr2Derivative formuladdxxn=n xn-1

Q: A man travels in a motorized banca at rate of 12 kph from his barrio to the poblacion and come back…

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Q: Find the rate of change of volume of a sphere with respect to its surface area when the radius is 2…

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Q: The volume of a cube decreases at a rate of 0.75 ft3/min. What is the rate of change of the side…

A: Consider a cube with side 'a' The rate at which the volume of cube is decreasing is 0.75 cubic feet…

Q: gallon is poured into the tank at a rate of 2 gal/min, while the well-stirred mixture leaves the…

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Q: The strength of magnetic force varies inversely with the square of the distance between the magnets.…

A: Given query is to find the work required to move the magnets.

Q: When the lid is left off an ink bottle, the ink evaporates at a rate of 2.5 x 20 "cm" bottle…

A: Given that: Rate at which ink evaporates=2.5×10-6cm3s and Total volume of ink in the bottle is 36…

Q: Water flows out of a hemispherical tank at a rate which is 4 times the square root of its depth. If…

A: GIVEN: Radius of the tank is 8 ft

Q: When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01 cm…

A: Given:When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01…

Q: A cube's volume increases at a rate of 108 ft3/min. At what rate is the cube's edge length changing…

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Q: The lengths of the edges of a cube are increasing at a rate of 8 ft/min. At what rate is the surface…

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Q: What constant acceleration is required to increase the speedof a car from 30 mih to 50 mih in 5 s?

A: Given: u=30 mihour, v=50 mihour, t=5 second for finding acceleration, first we convert given…

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

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Q: The time required to empty a tank varies inversely as the rate of pumping. If a pump can empty a…

A: Where k is constant of variation.

Q: The altitude of a triangle is increasing at a rate of 1 cmminwhile the area of the triangle is…

A: Givendhdt=1cm/mindAdt=2cm2/minA=100cm2h=10cm

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A:

Q: The sides of a square increases in length at a rate of 3 m/sec. At what rate is the area of the…

A:

Q: How many kilometers can a train moving at an average velocity of 25 m/s southwest be displaced in 2…

A: Given, average velocity of train = 25 m/s 2 hours = 2x60x60 = 7200 seconds

Q: A small hole on the sack of rice cause some rice to be wasted while the sack is being lifted…

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Q: triangle

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Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

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Q: . The radius of a right circular cylinder of height 16 inches and radius 4 inches decreases by ¼…

A: Use differential concept