Homework: 1. When a circular plate of metal is heated in an oven its radius increases at a rate of 0.01 cm/min. At what rate is the plate's area increasing when its radius is 50 cm.

Q: The edges of a cube increase at a rate of 2 cm/s. How fast is the volume changing when the length of…

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Q: 7. A triangle with a base of 20 inches has a height that is decreasing at a rate of 3 inches per…

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Q: 3. A woman in a hot air balloon drops her GoPro Hero 10 when the balloon is 175 ft above the ground…

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Q: QUESTION 1 The radius of semicircle is increasing at the rate of 0.8 cm/s, calculate the rate of…

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Q: centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 8…

A: The volume of a pyramid isBh3 , where B is the area of the base and h is the height of full pyramid.…

Q: Bob is blowing bubbles, the radius of a (spherical) bubble is increasing at the rate of 3 ft/hr. At…

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Q: ft 10. A man 5 feet tall walks at a rate of 3-away from a light that S is 12 ft above the ground. At…

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Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

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Q: 11. If a snowball melts so that its surface area decreases at a rate of 1 cm/min, find the rate at…

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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: 20. A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the…

A: Given : A kite is 100 ft above the ground moves horizontally at a speed of  8 ft/s. To find : At…

Q: 8. The radius of an inflating balloon in the shape of a sphere is changing at a rate of 3cm/sec. At…

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Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A: dv/dt = 45 cm3/second side is 2 cm height is 5 cm side/height = 2/5 side (s) = 2h/5 volume of…

Q: Example A light is on the top of a 12 ft tall pole and a Sft 6in tall person is walking away from…

A: Consider the provided question, The pole and the person are shown in the figure below;

Q: An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per…

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Q: A triangle has a base that is increasing at a rate of 18 mm per minute with the height being held…

A: Area of the triangle is given by;A = 12 ×base×height

Q: 3 Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west…

A: Given the data:

Q: 5. A rectangular trough is 10 ft long and 3 ft wide. Find how fast the surface rises, if water flows…

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Q: An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per…

A: The rate at which water level is rising when the level is 5cm is 25cm/sec.

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A: The volume of the pyramid is                        V=13Bh Where B is the area of the base…

Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the…

A: Given that: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet…

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

A:

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A:

Q: 20. The length of a rectangle is increasing at a rate of 5 cm/sec and the width is decreasing at a…

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Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic bị b2 centimeters per…

A:

Q: The radius of a circle is increasing at a rate of 5 centimeters per minute. Find the rate of change…

A: We can find the answer as below using the given data.

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: shrinking

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Q: The area of an equilateral triangle is decreasing at a rate of 3 cm^2/min. Find the rate (in…

A: We want to find the rate (in centimeters per minute) at which the length of a side is decreasing…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 2…

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Q: Two cars start moving from the same point. One travels south at 60mi/h and the other travels west at…

A: We have to find distance between two car

Q: 14. If a snowball melts so that its surface area decreases at a rate of 1 cm2/min, find the rate at…

A: To find the rate

Q: The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in…

A: Given :radius of spherical ball is increasing at a rate of 2cm/minso, drdt=2cm/min

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

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

A: Square: A square is a polygon with four sides and all the four sides are equal. Also all the four…

Q: Water is pouring into an inverted cone at the rate of 12 cubic meters per minute. If the height of…

A: According to our terms and condition i have solved first question for next question repost

Q: 7. A vertical cylinder is leaking water at a rate of 1 ft'/sec. If the cylinder has a height of 10…

A: To find the rate of change of height of water changing

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A: We know, Volume of a figure = Area of a base × Height

Q: 9. A balloon, leaving the ground 60 ft. from the observer, rises 10 ft. per sec. How fast is the…

A: 9- Given- The ballon leaving the ground 60ft. from the observer rises 10 feet per second. To find-…

Q: A man 6 feet tall walls at a rate of 5 feet per second away from a light that is 15 feet above the…

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Q: The radius of a balloon is increasing at the rate of 10cm/sec . At what rate is the surface area of…

A:

Q: 1. The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3…

A: I have stated the used formulas in the solution

Q: The radius of an air bubble is increasing at the rate of 1/2 cm/s.At what rate is the volume of the…

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Q: . A trough has ends shaped like isosceles triangles, with width 3 m and height 4 m, and the trough…

A: Given that a though has ends shaped like isosceles triangle with width 3 m and height 4m and trough…

Q: The radius of a circle is increasing at a rate of 3 ft/min. At what rate is its area changing when…

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

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Q: The base of a triangle increases at a rate of 3 cm per minute while the height of the triangle…

A: topic-area