if the base of triangle is constantly 4 cm find the rate at which the area of the triangle is changing with respect to the height

Q: A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15…

A: 6)

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Q: If the radius of a sphere is increasing at a constant rate of 2 cm/sec, then the volume 3 is…

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Q: Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. When the…

A: we have given that Gas is being pumped into a spherical balloon at the rate of 10 cubicinches per…

Q: A water tank has the shape of an inverted circular cone (point down) with a base of radius 6 feet…

A: We can consider two similar triangles from the question and using that we can make an expression for…

Q: Water is poured into a conical paper cup at the rate of 3/2 in3/sec (similar to Example 4 in Section…

A: The situation is as shown below: Consider a small differential element of water at a height of h…

Q: Water is poured into a conical paper cup at the rate of 3/2 in/sec (similar to Example 4 in Section…

A: I will use the formula V=13πr2h and differentiation method to solve this problem.

Q: A Ferris wheel with a radius of 10 m is rotating at a rate of one revolution every 2 minutes. How…

A: the height is given byh = 10 sin (pi * t) + 10dh/dt = 10 cos (pi * t) * pi

Q: Find the rate at which the surface area of the water changes when the water is 10 ft high if the…

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Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A: topic - application of derivatives

Q: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

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Q: The radius of a spherical balloon is decreasing at a rate of in/sec.

A: Radius of balloon = r = 4 inchesDecreasing rate of balloon = drdt = -2πinches/secondVolume of…

Q: Find the rate of change of the volume of a cone with a constant height of 5 m with respect to radius…

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Q: The depth of water in a 4m diameter cylindrical tank is increasing at the rate 0.7m/min. Find the…

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Q: 2. please help, they canceled class due to virus can't contact teacher.

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Q: An eagle flying horizontally at an altitude of 6 m and speed of 4 m/s passes over a beaver standing…

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Q: A 15-meter ladder is resting against a vertical wall. if the bottom of the ladder is being pushed…

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Q: A tank of water in the shape of a cone is being filled with water at a rate of 3 m3/sec. The base…

A: To find: The rate of change of depth of water in the tank, when the height is 9 m. Given: The radius…

Q: A spherical snowball melts at a rate proportional to its surface area. Show that that rate of change…

A: It is given that, the spherical snowball melts at a rate proportional to it’s surface area. This can…

Q: The surface area of a sphere increases at a rate of 90 m/sec. Then the rate at which the radius…

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Q: A car leaves an intersection traveling west. Its position 4 seconds later is 22 ft from the…

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Q: A water tank has the shape of an inverted circular cone with base radius 2 m and height 4 m. If…

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Q: A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15…

A:

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: A balloon is rising vertically over a point A on the ground at the rate of 15 ft/sec. A point B on…

A: Let the distance of the balloon from point B be denoted as p. The balloon, points A and B form a…

Q: An inverted conical water tank with a height of 12ft and a radius of 6ft ft is drained through a…

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Q: As a circular metal griddle is being heated, its diameter changes at a rate of 0.01 cm/min. Find the…

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Q: A conical water tank has a radius of 3 m and a height of 6 m. Water is flowing into the tank at the…

A: NOTE: Refresh your page if you can't see any equations. . here we have R=3 H=6 V'=12

Q: Water is flowing into a vertical cylindrical tank at the rate of 5 cu ft/min. If the radius of the…

A: Given, water is flowing into a vertical cylindrical tank at the rate of 5 cu ft/min (ie) Volume is…

Q: A weather balloon is rising vertically at the rate of 10 ft/s. An observer is standing on the ground…

A: Given:A weather balloon is rising vertically at the rate of 10 ft/s. An observer is standing on the…

Q: The radius of a sphere decreases at a rate of 3 meters per second. Find the rate at which the…

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Q: A softball diamond is a square whose sides are 60 ft long. Suppose that a player running from first…

A: Suppose , y is the distance from the home and x is the distance from first base. Given that ,…

Q: Water is flowing into a vertical cylindrical tank at the rate of 5cu.ft/min. if the radius of the…

A: The volume of a cylinder:,V = πr2hWhere, V = Volume of the cylinder  r = Radius of the base  h =…

Q: water is running out of a conical funnel at the rate of 1 cu inches per second. If the radius of the…

A: This question is related to application of derivatives.

Q: A Ferris wheel with a radius of 13m is rotating at a rate of one revolution every 2 minutes. How…

A: Given thatRadius of the Ferris wheel is 13 mThe time period of the Ferries wheel is 2 min To find…

Q: The temperature at a point in a ball with conductivity K is inversely proportional to the distance…

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Q: a spherical balloon is filled with gas at a rate of 300 mm3/sec. Find the rate at which the surface…

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Q: A right circular cylinder has a fixed height of 4 meters. Find the rate of change of its volume V…

A: Given: A right circular cylinder has a fixed height of 6 m.

Q: . Suppose that an air-filled cone-shaped balloon has a leak causing air to escape at a rate of 24…

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Q: A conical cistern of height 5 ft and 7 ft across the top is being filled at a rate of 5 ft3/s while…

A: A conical cistern is given whose height is 5 ft and diameter at the top is 7 ft. A conical cistern…

Q: an oil spill is spreading in a circle at a rate of 316.7in/sec2. at what rate is the radius changing…

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Q: Water is pouring into a conical vessel 15 cm deep and having a radius of 3.5 cm across the top. If…

A: Given the water is pouring into a conical vessel of 15 cm deep and the radius of 3.5 cm across the…

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

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Q: The sides of a square increases in length at a rate of 3 m/sec. At what rate is the area of the…

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Q: A conical tank has height 9 m and radius 6 m at the base. Water flows at a rate of 5 m^3/min. How…

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Q: A conical glass whose radius is 5m and altitude 12m is being filled at the rate of 10 cu. m/sec. How…

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Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 3 cu. m / min How fast is…

A: Given, Radius of the cylindrical tank = 5 m Water rate = 3 m3/min

Q: Find the rate of change. Volume V of a cylinder with respect to radius if the height is equal to the…

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Q: A right circular cylinder has a fixed height of 4m. Find the rate of change of its volume V with…

A: Let h and r denote the hieght and radius of base of the cylinder.1