the area, A, of a square is increasing at 6cm2 per minute. how fast is the side length of the square changing when A= 576 cm2? when A= 576 cm2 the side length is increasing at a rate of? =

Q: 3. A man 6 ft tall walks along a straight path away from a lamp post 15 ft high at the rate of 2…

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Q: 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 3 ft/s, how…

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Q: The sides of a square are increasing at the rate of 2 inches per minute. How fast is the Area…

A: Given The side of square is increasing at rate of 2inches per minute.  The area of a square with…

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: Wheat is poured through a chute at the rate of 10 ft/min and falls in a canonical pile whose bottom…

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

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: The volume of a cylinder with a radius of 5 inches is increasing at a rate of 36 ë in³ / min. How…

A: this question is solving with the help of implicit differentiation with respect to time  because…

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

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Q: Each side of a square is 6 ft and is increasing at a rate of 2 ft per second. How fast is the area…

A: By differentiating equation of area of square with respect to time and substituting the value of…

Q: A picture 40cm high is placed on a wall with its base 30cm above the level of the eye of an…

A: Shown below

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

A:

Q: 2) Water is pouring into an inverted cone at the rate of 8 cubic me- ters per minute. If the height…

A: Given that Height of cone h=12 m radius of its base r=6 m rate of pouring water into cone dVdt=8 m3

Q: The area of a circle is increasing at a rate of 80n square feet per second. How fast is the radius…

A: Since there are multiple questions present, according to company policy we will be answering only…

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

A: Given that, Area of square is  25cm2    Area A = x2 Where x is the side length. The area of square…

Q: A weight is attached to one end of a 33-foot rope which passes over a pulley 18 feet above the…

A: The above problem statement can be pictorially represented as:

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

A: Let the side of the square be 'x' cm. Therefore the area of the square is given by: A=x2

Q: A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away…

A: To find the rate of change of area of the triangle formed .

Q: An aircraft is flying horizontally at a speed of 600 km/h. How fast is the distance between the…

A:

Q: 7. A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet…

A: From the question, Height of the man is 6 ft. Height of the street is 12 ft. y=The length of the…

Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

A:

Q: A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s. How fast does the tip of…

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Q: 9. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 mi/hr. How fast does the…

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Q: Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the…

A: We have to find rate of change of area

Q: The volume of a cylinder with a radius of 5 inches is increasing at a rate of 36pi in^3/min. How…

A: given in a cylinderr=5 indVdt=36π in3/minh=10 innow volume of cylinder (V)=πr2hradius is constant

Q: 2) A 5-ft ladder, leaning against a wall, slips so that its base moves away from the wall at a rate…

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Q: A 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 3 ft/s, how…

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Q: 4. A basketball player is 7 feet tall walking away from a light that is 28 feet above the ground at…

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Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

A: Consider the given situation, Let the length of the rectangle be ‘l’ and breadth be ‘b’.Area of…

Q: A 14 ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

A:

Q: The area of a circle increases at a rate of 4 cm2 / s. a. How fast is the radius changing when the…

A: I have given an answer in step 2.

Q: A rectangle has one side of 10 cm. How fast is the area of the rectangle changing at the instant…

A: Given that: Let the one side of rectangle is (a) = 10 cm and the other side of rectangle is (b)= 18…

Q: 3) A camera is located on the ground 3000 ft from the spot where a rocket takes off. If the rocket…

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Q: 5. A 6-ft man walks away from a 15-ft lamppost at a speed of 3 ft/s. Find the rate at which his…

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Q: A 13-ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A:

Q: 4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast…

A:

Q: 14

A: We draw a image  here, the ladder slides down at the rate of 2 ft/s, sodhdt=-2 we have to find dldt

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 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: The top of a 18 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate…

A:

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: a kite 100 ft ft above the ground moves horizontally at a speed of14ft/s. at what rate is the…

A: If you like the solution then please give it a thumbs up..... The Answer is:     Result = - 0.035…

Q: Each side of a square is increasing at a rate of 7 cm/s. At what rate is the area of the square…

A: If the area of a square, A, is x2 units , then the length of its side is x unit .

Q: a 10-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

A:

Q: A man on a wharf, 4.2 m above the water surface, is pulling a rope tied to a boat at the rate of…

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Q: The radius of a circle is increasing at a rate of 2cm/s. How fast is the area of the circle…

A:

Q: The base x of the right triangle in the figure increases at a rate of 6 cm/s, while the height remai

A: In this question we will use basic of calculus i.e application of differentiation. We will first…

Q: A man 7.00 ft tall approaches a street light 16.0 ft above the ground at the rate of 6.00 ​ft/s. How…

A: Given data: The height of the man is CD=7 ft. The height of the street light is AB=16 ft. The rate…

Q: The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of…

A: We have to find