5. point of impact of the rock so that the area of the circle formed by a ripple increases at a rate of 40 ft2 per minute. Find the rate at which the radius is changing at the instant the area is 120 ft2. [The formula for the area of a circle is A = A rock is thrown into a still pond. The circular ripples move outward from the

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A:

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A: Rate at which surface area increases is

Q: An inverted conical water tank with a height o 6 ft and a radius of 3 ft is drained through a hole…

A: Given, height of conical tank 6 ft and radius 3 ft.

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A: Given that: Rate of decrease of area = 0.5 m2/s

Q: 2)The radius of a sphere decreases at the rate of 1 m/sec. Find the rate at which the volume…

A: Given,  The radius of a sphere decreases at the rate of 1 m/sec  We have to find the rate at which…

Q: Can you help me step by step?

A: Given,

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A: The answer is given as follows.

Q: A 12-ft ladder leans against a wall at an angle 6 with the horizontal, as shown in the accompanying…

A:

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

Q: A 25-foot ladder is leaning against a house, as shown in the figure below. 25 ft sec +X→ If the base…

A: a). Put x = 15, we get b). Put x = 24, we get

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A: The rate of change of the area with respect to time is the derivative of the area function with…

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in…

A: we have to find the rate change in diameter

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in…

A:

Q: 1. Water is poured into a conical funnel at the constant rate of 2 in3/sec and flows out at a rate…

A:

Q: 2. A conical reservoir is dripping water at a rate of 21 cubic feet per second (water is going out…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm/min, find the rate (in…

A: Given  Decreasing rate of surface area = 3cm2/min To find: the rate of decreasing of diameter when…

Q: ross the top is being filled at a rate of 5 ft3/s while it was leaking by 1% of the rate it is being…

A: The height of the conical cistern ,H=5ft. The radius of the conical cistern ,R=3.5ft. The rate at…

Q: 1. A spherical balloon is being inflated so that the volume is increasing at the rate of 5 ft.³ per…

A:

Q: 3. The radius of a cylinder is increasing at a rate of 4cm/sec. The surface area remains constant at…

A: Given

Q: 12) A vertical cylinder is leaking wader at a rate I ft3% If the cylinder har a height of 10t Sec.…

A: Volume of cylinder = πr2h  r= radius of cylinder  h= height of cylinder

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A: We have to find the rate, in cubic meters per second, at which liquid is leaving the tank.

Q: The radius of a circle increases at a rate of 4 cm/ sec. The rate at which the area of the circle…

A:

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

A: here we have

Q: 01/Water poured into a conical tank through a faucet, this tank has a base radius of 5 ft and 10 ft…

A: As per our guidelines we are supposed to answer only one question.*Kindly repost other question as…

Q: 1. A yellow balloon, spherical in shape is inflated with a rate of 100 cm3 /sec. Calculate the rate…

A: Solution is given below:

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: 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: 1. The radius of a sphere increases at a rate of 2 m/sec. The rate at which the volume increases…

A:

Q: 4. The radius of a sphere decreases at a rate of 3 m/sec. Find the rate at which the surface area…

A: Surface area of sphere is given by: A=4 π r2 Find the rate at which the surface area decreases when…

Q: 2)The radius of a sphere decreases at the rate of 1 m/sec. Find the rate at which the volume…

A:

Q: 16. A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over…

A:

Q: 01/ Water poured into a conical tank through a faucet, this tank has a base radius of 5 ft and 10 ft…

A: according to our guidelines we can answer only three subparts, or question and rest can be…

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A: Given the volume flow rate of water is: 3 cubic feet per second. Consider the height of the cone is…

Q: 5. The radius of a sphere increases at the rate of 2 m/sec. Find the rate at which the volume of a…

A: Given that radius of a sphere increases at the rate of 2m/sec drdt=2 m/sfind dVdt=? at r=14m

Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

A: Consider a function y= f(x)  then the derivative f '( x) is the  rate of change of y with respect to…

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A: We have to find the rate at which the sand is leaking out when the height is 10 in.  Or we can say…

Q: 2)The radius of a sphere decreases at the rate of 1 m/secm/sec. Find the rate at which the volume…

A:

Q: A 12-ft ladder leans against a wall at an angle 6 with the horizontal, as shown in the accompanying…

A: Recall: In an right angled triangle sin(θ)=opposite sidehypotenuse

Q: and falls from an overhead bin and accumulates in a conical pile with a radius that is always two…

A:

Q: A conical vessel 12 cm deep and with a radius of 6 cm at the top, is being filled with water. If the…

A: Let's find.

Q: 2. A tank of water in the shape of a square pyramid is leaking water at a constant rate of 4…

A:

Q: 11. A snowball melts so that its surface area decreases at a rate of 0.5 cm²/min. Find the rate at…

A: Here we use the concept of derivatives.

Q: 1. The volume of a cube decreases at a rate of 12 m/sec. Find the rate at which the side of the cube…

A: This question is related to application of derivatives.