A water tank is in the shape of a cone as shown. If water is being drained from the bottom at a rate of 5 ft /min when the water in the tank has height 6 ft , at what rate is the height of the water changing at this same instant? 10 Exit rate: 5 ft/min

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

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Q: The radius of a sphere increases at a rate of 4m/sec. Find the rate at which the surface area…

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

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Q: At what rate is the distance between the planes changing? mph (b) How much time does the controller…

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Q: O. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

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Q: A spherical snowball melts at a rate of 16 in / sec. when the radius is 2 in, then the radius of the…

A: The formula for  volume of sphere is: V=43πr3 Given that dVdt=16 in3/secr=2

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

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

A: The volume of the tank is a circular cone, therefore it is given by:                          V =…

Q: A ladder is 27 feet long and is leaning against the side of a house. The base is moved away at 3 ft…

A: Solution is given below:

Q: A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a building 35 ft…

A: Given that,

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 8…

A:

Q: A 10​-ftladder is leaning against a house when its base starts to slide away. By the time the base…

A:

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10…

A:

Q: An engineering student is experimenting on a cylindrical can with a fixed rate of 8 inches. Find the…

A: Please check step 2 for the solution.!

Q: t) A water tank has the shape of an inverted circular cone with base radius 2 feet and height 4 ft.…

A:

Q: A Conical Cup is 4cm across and 6cm deel. Water leaks cut of the bottom of the cup cit a rate of…

A: Consider the given information. The diameter of the cup is 4 cm. r=d2=42=2 cm The height is 6 cm.…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10…

A: Given: Rate of change of volume = 10ft3/min Diameter of the base of the cone is approximately three…

Q: Water is flowing into a (inverted) conical reservoir 20 feet and 10 feet across the top, at the rate…

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Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A: given that radius of a sphere increases at a rate of 3m/sec find the rate  when radius is 9m

Q: A man 6 feet tall walks at a rate of 4 feet per second away from a light that is 15 feet above the…

A: Please see the explanation below

Q: A man 6 ft tall is walking at the rate of 3 ft/s toward a streetlight 18 ft high (see Figure 1). (a)…

A: By using similarity rule:

Q: A woman is flying a kite on a long string. The kite itself has a 150 ft above the ground of the wind…

A: In the question we have to find the rate of string to let out.

Q: An engineering student is experimenting on a cylindrical can with a fixed rate of 8 inches. Find the…

A:

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 5…

A:

Q: a) Water runs into a conical tank at the rate of 9 ft^3/min. The tank stands point down & has a…

A: Since multiple questions are asked, we will solve the first question for you. To get the solutions…

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:

Q: A toy rocket is launched at an initial velocity of 50 ft/s at an angl of 75° with the horizontal.…

A: Here, given that the initial velocity 50 ft/s and the angle is 75°

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 ladder is 36 feet long and is leaning against the side of a house. The base is moved away at 2 ft…

A:

Q: Jamal is flying a kite on a string, and it is 100 ft above the ground. At the point that Jamal has…

A: Jamal is flying a kite on a string, and it is 100 ft above the ground. At the point that Jamal has…

Q: Find the rate at which the volume of a right circular cylinder of constant altitude 10 ft changes…

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16…

A:

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

A: We have to find the increase of area

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 4…

A:

Q: . A 13-ft ladder is leaning against a house when its base is 12 ft from the house, the base is…

A:

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10…

A: Given that dVdt=10, h=15 find dhdt r=radius of base at time t h= height at time t V= volume of cone…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6…

A:

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

A:

Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A: The surface area is

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

A:

Q: The fixed sides of an isosceles triangle are of length 6 cm. (See the figure.) If the sides slide…

A: Given: The fixed sides of an isosceles triangle are of length 6 cm and the sides slide outward at a…

Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A: Rate of change of radius = 3m/s Find the change in surface area at radius = 6m

Q: The volume V=r° of a spherical balloon changes with the radius. a. At what rate (ft°/ft) does the…

A: Consider the given equation: V=43πr3 Where V is the volume and r is the radius. Differentiating the…

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

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Q: A man walks along a straight path of 4m/s. A searchlight is located on the ground 25m from the path…

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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: A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a building 35 ft…

A: topic-equations

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.