A triangle has an area that is increasing at a rate of 555 square feet per minute with the height being held constant. Determine the rate of change of the base of the height is 3 feet.

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A: Given a thin sheet of ice is in the form of a circle. And the area is 12 square inches.Let the area…

Q: The radius of a right circular cylinder is increasing at a rate of 4 inches per minute, and the…

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Q: Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west…

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Q: Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west…

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Q: A 13-foot ladder leans against a wall. The foot of the ladder begins to slide away from the wall at…

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Q: Two planes, at elevations differing by 144 meters, pass overhead, heading in opposite directions.…

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

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Q: A fighter plane 2000 km away is spotted by a gunner in the ground. If it maintains its altitude at…

A: Pythagoras theorem: In a right angle triangle, Hypotenuse2=Base2+Perpendicular2 Differentiation…

Q: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how…

A: Given: Since the height is decreasing.     To determine:

Q: The volume of oil in a cylindrical container is increasing at a rate of 150 cubic inches per second.…

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Q: ick is increasing at a rate of 3 meters per minute. How quickly is the area changing when the oil…

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Q: the area of a circle is decreasing at a constant rate of 181 square centimeters per second. at the…

A: Given, dAdt=181cm2sec now we know area of circle is: A=πr2 now derivate both side w.r.t t…

Q: If the radius of a circle increases at the rate of 0.01 inch/sec, find the rate of change of the…

A: We have, Radius of circle (r)=3 inchesRate of change of radiusdrdt=0.01 inches/sec We know that,…

Q: A 5-foot-tall woman walks at 8 ft>s toward a streetlight that is 20 ft above the ground. What is…

A:

Q: A right triangle has legs of 3 inches and 4 inches whose sides are changing. The short leg is…

A: dhdt=7 in/sec , dbdt = -10 in/sec

Q: The volume of a cube decreases at a rate of 0.75 ft3 of the side length when the side lengths are 15…

A: Given the volume of a cube decrease at a rate of 0.75 ft3/min. To find the rate at which the side…

Q: A conical tank (with vertex down) is 12 feet across the top and 12 feet deep. If water is flowing…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over a…

A: From the given question we get the figure below, By Pythagorus theorem we get, (hyp)2=(opp)2+(adj)2…

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

A: Since you have not mentioned I am answering 2nd Question. Given:Volume of a cube decreases at a rate…

Q: The radius of a circle is increasing at the rate of 0.7 cm/s.whats is the rate of increase of its…

A:

Q: An inverted conical tank with a height of 6 feet and a diameter of 4 feet that was filled with water…

A: It is given that, the height and diameter of the conical tank is 6 feet and 4 feet, respectively.Let…

Q: If the radius of a circle increases at a rate of o.01 inch per second, find the rate of change of…

A: Let the radius be r, The rate of change of radius , drdt=0.01 inch per secondArea of the circle is…

Q: A rectangle has a length of 10 inches and a width of 4 inches whose sides are changing. The length…

A: Given:A rectangle has a length of 10 inches and a width of 4 inches whose sides are changing. The…

Q: the top of a 25 foot ladder is sliding down a vertical wall at a constant rate of 3 feet per minute.…

A: Given  c=25 ft b= 7ft dbdt=3 ft/minute dcdt=0

Q: Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west…

A: Given the data :

Q: If I am blowing up a balloon at a rate of 3 cubic feet per minute, what is the rate of change of the…

A: Since, it is given that a person is blowing up a balloon at a rate of 3 cubic feet per minute, then…

Q: The top of a 25-foot ladder is sliding down a vertical wall at a constant rate of 3 feet per minute.…

A: This question is based on application of differentiation.

Q: The radius of a circle is increasing at the rate of 0.7 cm/sec.what is the rate of increase of its…

A: The radius of a circle is increasing at the rate drdt= 0.7 cm/sec r = radius of the circle

Q: A rectangle has a length of 4 inches and a width of 12 inches whose sides are changing. The length…

A: Let x and y be the length and width of the rectangle at any time t respectively. Now according to…

Q: A parallelogram of rectangular surfaces has a square base and its volume is always 108 cubic…

A: Given information

Q: A rectangle has a length that is increasing at a rate of 10 mm per second with the width being held…

A: We have to find rate of change of area .Information is given below:

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: A fire has started in an open field and is spreading in the form of a circle, with its radius…

A:

Q: A right triangle has legs of 18 inches and 24 inches whose sides are changing. The short leg is…

A: A right triangle has legs of 18 inches and 24 inches. The short leg is decreasing by 3 in/sec. The…

Q: A 100-ft long cable of diameter 4 in. is subsequently submerged in seawater. Due to corrosion, the…

A: Given that diameter is 4 inches and height is 100 feet. And rate of decrease in area is 750 in2yr.…

Q: A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. If water is flowing…

A:

Q: A rectangle has a length of 11 inches and a width of 10 inches whose sides are changing. The length…

A:

Q: The radius of a circle is increasing at a constant rate of 0.2 meter per second. What is the rate of…

A: Given Where r is radius. and

Q: A rectangle has a length of 12 inches and a width of 6 inches whose sides are changing. The length…

A: The length of a rectangle is l=12 inThe width of a rectangle is w=6 inTo find the rate at width the…

Q: A 13 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how…

A: A 13 feet ladder is leaning against the wall. The top slips down the wall at a rate of 2 ft/s. The…

Q: A right triangle has legs of 33 inches and 44 inches whose sides are changing. The short leg is…

A:

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how…

A: Firstly we will draw the diagram for given information and then find the required as shown below

Q: A light is hung 7m above straight horizontal path. If a man 2meters tall is walking toward a light…

A:

Q: The side of a square is increasing at the rate of 0.2 cm/sec . Find the rate of increase of the…

A: we know that the perimeter of the square is with side x is                        P=4x…

Q: A 15 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A:

Q: A right triangle has legs of 21 inches and 28 inches whose sides are changing. The short leg is…

A: Length of the legs are 21 inches and 28 inches and the short leg is increasing by 10 in/sec and the…

Q: A right triangle has legs of 33 inches and 44 inches whose sides are changing. The short leg is…

A: Given: A right triangle has legs of 33 inches and 44 inches . The short leg is decreasing by 4…

Q: Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west…

A: A goes to south at 16 mi/h, so dA/dt= 16  After 3 hours A will be 16*3=48 mi away from the origin.…

Q: A rectangle has a length that is increasing at a rate of 16 mm per second with the width being held…

A:

Exponential Growth Model

The relation that represents an exponential function is: