Which units might be used for each rate of change? (a) Pressure (in atmospheres) in a water tank with respect to depth (b) The rate of a chemical reaction (change in concentration with respect to time with concentration in moles per liter)

Q: A patient’s systolic blood pressure drops from 420 mm/Hg to 200 mm/Hg in 20 minutes after they took…

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

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Q: if A sq units is an area of an isosceles right triangle for which each leg has a length of x units.…

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Q: The area of a square is increasing at a rate of 36 centimeters squared per second. Find the rate of…

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

Q: a) What is the change on surface area of a sphere as the radius changes from 1 inch to 3 inches? b)…

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Q: The area of a square is increasing at a rate of 96 centimeters squared per second. Find the rate of…

A: Given information: The area of the square is increasing at the rate is 96 centimeters squared per…

Q: The radius of the circle is increasing at a rate of 1 meter per hour and the sides of the square are…

A: Solution is here

Q: A stalk of corn grows from a height of 1 foot to a height of 7 feet in 2 months. What is its average…

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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…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

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

A: given: dA = 5 cm2/min dh = 1 cm/min A = 86 cm2 h = 11 cm   Equation for area of a triangle: A = .5 b…

Q: boy 5 feet tall walks at a rate of 3 feet/sec towards a streetlamp that is 12 feet above the ground.…

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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 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…

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Q: The volume of a cube decreases at a rate of 0.2 ft° / min. What is the rate of change of the side…

A: Volume of the cube is given by V=a3 where a is side length. Given that volume of cube decreases at a…

Q: The volume of a cube decreases at a rate of 0.6 ft° /min. What is the rate of change of the side…

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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: A 5-meter-long ladder is leaning against the side of a house. The foot of the ladder is pulled away…

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Q: The volume of a cube decreases at a rate of 0.4 ft° /min. What is the rate of change of the side…

A: Solution is in step 2

Q: A triangle has an area that is increasing at a rate of 555 square feet per minute with the height…

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Q: The radius of a right circular cone is increasing at a rate of 10 inches per minute, and the height…

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Q: A 50-ft ladder is placed against a large building. The base of the ladder is resting on an oil…

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

Q: The area of a square is increasing at a rate of 24 centimeters squared per second. Find the rate of…

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Q: The area of a square is increasing at a rate of 16 centimeters squared per second. Find the rate of…

A: Let s, in centimeters ,be length of side of square and A , in square centimetes, be the area of the…

Q: The time rate of change of the radius of a sphere is 1/2π, when its radius is 5 cm , find the rate…

A: According to the question, we have to find the rate of change of surface area of the sphere with…

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: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.03 cm /…

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Q: 2. A light shines on top of a lamppost 30 feet above the ground. A woman 5 feet tall walks away from…

A: Let X be the distance of man from lamppost .

Q: The area of a square is increasing at a rate of 80 centimeters squared per second. Find the rate of…

A: Given,         The area of a square is increasing at a rate of 80 centimeters squared per second.

Q: The radius r of a right circular cylinder with a fixed height of 48 inches is increasing. Find the…

A: Given that , h=48 inch r1=3 feet , r2=5 feet find average rate of change in volume.

Q: A thermometer was taken from a freezer and placed in the boiling water. It took 22 sec for the…

A: Initial temperature = -10∘C Final temperature = 100∘C Time interval= 22 seconds

Q: The area of a square is increasing at a rate of 30 centimeters squared per second. Find the rate of…

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Q: glacier advanced down a mountain from an elevation of 3000 m to 2000 m in 5 years. What was the…

A: Rate of change describes how the quantity is changing value with respect to another quantity . In…

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: The area of a square is increasing at a rate of 16 centimeters squared per second. Find the rate of…

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Q: What is the rate of the current in miles per hour?

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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: 1. Two airplanes left airports which are 960 km apart and flew towards each other. One plane flew 32…

A: This is a question of distance and velocity. Based on the general formula of distance and velocity…

Q: A rod is sliding down the side of a wall such that the height is decreasing at a rate of 5 inches…

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Q: 1. A man is standing on a horizontal ground 30 ft away from a hot air balloon. After a moment, 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: Given problem:- The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the…

Q: A ball is launched into the air. 21 feet away from the launch site is a camera. If the ball is…

A: We have to find the rate of change of angle of elevation as seen by a camera placed at 21 feet away…

Q: A triangle's base is increasing at the rate of 2 inches/sec, its height at 5 inches/sec. At what…

A: Increasing rate of base, dbdt=2 inches/sec. Increasing rate of height, dhdt=5 inches/sec. Area of…

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: 2. The volume and radius of a right circular cylinder change at the rates of 1 cm^3/s and -2 cm/s,…

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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…

A: Let, V=volume S= surface area r= radius t= time Given that dV/dt=k (constant) Differentiate both…

Q: 3. Radar guns measure the rate of distance change between the gun and the object it is measuring.…

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