13. A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

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Q: (8) A baseball diamond has the shape of a square with sides of 75 feet long. A player running from…

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Q: 3. A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over a…

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Q: A potter forms a piece of clay into a cylinder. As he rolls it, the length, L, of the cylinder…

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Q: 2. A water tank is in the form of an inverted right circular cone h feet deep and d feet wide across…

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Q: 11. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the…

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Q: 1. If the radius of a spherical balloon is increasing at the rate of 3 cm/s, which of the following…

A: We are only allowed to solve one question at a time so we will answer only the first question.…

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

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional to…

A: Given that,  At time, t=0, the amount of cane sugar in water =75kg At time, t=30minutes, the amount…

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A: Here, the amount of the clay is fixed. dVdt=0...(1) Now, the volume of the cylinder is given by:…

Q: 2. A man walks across a bridge at the rate of 5 ft/s as a boat passes directly beneath him at10…

A: From the given data , Man walks across a bridge in one second AC=5 feet and boat passes in one…

Q: 7. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the…

A: Given data A ladder slides a vertical wall at rate of 0.15 m/s  find the length of ladder = ?

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Q: 2. Suppose that the bottom of a conical shaped tank of water has been ruptured. At the instant when…

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Q: 5. A baseball diamond has the shape of a square with sides 90 ft long. A player 60 ft from second…

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Q: A weather balloon is rising vertically at the rate of 2 m/sec. An observer is standing on the ground…

A: The diagram of the given question will be as follows Given: dydt=2 m/s To find: dxdt

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A: given that plane is flying horizontally at an altitude of 1mi speed=500 mi/h find the rate at which…

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A: Let the length of the sides of the cube = xAnd the volume of the cube = V = x^3

Q: 11. At what rate is the volume of the cube changing if the edge is 8 cm and is changing at 4 cm/s?

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Q: 1. How fast is the water level rising in a rectangular fish tank whose base is 20 ft² if the tank is…

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Q: The volume of a cube is increasing at the rate of 1200 cm³ / min at the instant its edges are 20 cm…

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Q: vulcanizing shop has a trapezoidal drum that is 5 meters long, 1.5 meter wide at the top, 1 meter…

A: Solution of the problem as follows

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

A: Given: -

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Q: 5) If the radius of a right circular cylinder is increasing at a rate of 1 inch per minute, and the…

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Q: 5. The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the…

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Q: 4. A trough filled with liquid is 2 m long and has a cross section of an isosceles trapezoid 30 cm…

A: Given: 4) Question is wrong (Some values are missed) 5) dxdt=10 ft/sec, h=100 ft, and l=125 ft

Q: 5 If a snowball melts so that its surface area decreases at a rate of 10 cm2/min, find the rate at…

A:

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.