The volume of a cube decreases at a rate of 0.75 ft3 of the side length when the side lengths are 15 ft? min: What is the rate of change

Q: The flow rate is cfs, which is approximately % of the flow rate of the river. (Round to the nearest…

A: 1 day = 24 hrs = 24* 60 minutes = 24*60*60 seconds=86400 seconds 7.5 gallons = 1 cubic feet So 9…

Q: The side of a cube is increasing at a rate of 5cm/sec, find the related change in surface area wher…

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Q: The lengths of the edges of a cube are increasing at a rate of 1 ft/min. At what rate is the surface…

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Q: A car traveling at 42 ft/sec decelerates at a constant 44 feet per second per second. How many feet…

A: Given,A car traveling at 42 ft/sec decelerates at a constant 4 feet per second.i.e., initial…

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at…

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Q: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate (in…

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Q: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at…

A: Solve using increasing & decreasing function.

Q: Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square…

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Q: The side of a cube increases at the rate of 3 m/s, when side of the cube is 8m . Then the rate of…

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Q: The sides of an equilateral triangle are increasing at the rate of 3cm/min. Find: a.)the rate of…

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Q: The lengths of the edges of a cube are increasing at a rate of 9 ft/min. At what rate is the surface…

A: Total surface area of cube S = 6x2 Where x is length of the side of cube. we have given x = 19 ft.…

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in…

A: Topic:- application of derivatives

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in…

A: we have to find the rate change in diameter

Q: At what rate did the temperature rise from 6 a.m. to 12 p.m.?

A: Given, Temperature versus Time graph of a spring day We have to find, at what rate did the…

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in…

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Q: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate at…

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Q: A kite 50 ft above the ground is moving horizontally at a rate of 4 ft/s. At what rate is the string…

A: We will be using the trigonometric ratios relating the sides of the triangle formed by strings and…

Q: On a day  when the wind is blowing toward the south at 3 m/s, a runner jogs west at 1.9 m/s.what is…

A: Let V1 be the velocity of the air and V2 be the velocity of the runner, then the relative velocity…

Q: An automobile uses gasoline at a rate of 12 kilometres per litre and has a 65 litre tank. How far…

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Q: A car traveling at 46 ft/sec decelerates at a constant 7 feet per second per second. How many feet…

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Q: Two cars start moving fr km/hr. At what rate is the

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Q: A cylindrical box has a fixed height of 12 inches. Find the rate of change of volume with respect to…

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Q: A car traveling at 46 ft/sec decelerates at a constant 8 feet per second per second. How many feet…

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Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side…

A: Application of derivative

Q: How far above the surface of the Earth would he have to go to "lose" 13 % of his body weight?…

A: Follow the procedure given below.

Q: The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec.…

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Q: A light is hung 15 ft above a straight horizontal path. If a man 2 ft tall is walking away from the…

A: Calculation of rate by which shadows lengthening.

Q: snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate (in cm/min)…

A: Given query is to find the rate at which diameter of snowball is decreasing.

Q: The velocity, in feet per second, of a running rodent is modeled by v(t) = 5√t − 2t. What is the…

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Q: The radius r of a sphere is increasing at a rate of 4 inches per minute.

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Q: A 500 mL IV starts at 9pm and runs at 33gtt/min with a drop factor of 10gtt/mL.  At what time will…

A: Algebra Question

Q: A boat that arrives at a dock 20 ft above water level is being pulled in by a fisherman using a rope…

A: To find: The speed of the boat approaching the dock when the total length of rope out is 50 feet.…

Q: If a snowball melts so that its surface area decreases at a rate of 4 cm4/min, find the rate at…

A: Note that snowball has a shape of sphere.

Q: rels west at 20 mi/hr and the travels south at 15mi/hr. At what rate utes after they leave port?

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Q: At what percent increase is the volume of a sphere if its radius is increased by 12%?

A: We have to find the incresed percentage  of volume

Q: The volume of a cube is increasing at a rate of 64 in ³/sec. At what rate is the length of each edge…

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Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at…

A: Given information:

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Consider the sides of the function of time:  The Area is increasing by 49 cm2/s The side increasing…

Q: If a snowball melts so that its surface area decreases at a rate of lcm²/min, find the rate at which…

A: Snowball represents a sphere So , Surface Area of sphere is 4πr2.  And , d=2r.  Using this we solve…

Q: A kite travels upwards at 30 mph, while a kid runs away at 6mph. What rate is the distance between…

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Q: The volume of a cube is increasing at a rate of 56 in/sec. At what rate is the length of each edge…

A: Given that the volume of a cube is increasing at a rate 56 in3/sec and the edges are 8 in. long. It…

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

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

Q: A boat takes 2/3 as much time to travel downstream from C to D, as to return, If the rate of the…

A: A boat takes 2/3 as much time to travel downstream from C to D, as to return. If the rate of the…

Q: A car braked with a constant deceleration of 16 ft/s2, producing skid marks measuring 50 ft before…

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Q: If the diameter of a piece of candy was initially 26 mm and after 30 minutes it measured 5mm, what…

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Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm²/s) is the area of the…

A: RECALL: Area of the square , A= a2 ; where 'a' is the side of the square. Volume of the cylinder,…

Q: Consider the given isosceles triangle of base 10 inches and side lengths x inches. If is increasing…

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Q: A jogger jogs around a circular track with a diameter of 375 m in 16 minutes. What was the jogger's…

A: Given:  Diameter of circular track =375 m So, radius of the track