Velocity at the Equator Assuming the radius of the earth is 4,000 miles, use the infor-mation from  to find the linear velocity of a person standing on the equator.

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A: Velocity = 420 miles/hr. Angle = 38°

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Q: Calculate the average gradient of the slope between spot height 281 and spot height 269 on the map…

A: The equation for gradient is given as Gradient = Change in field value / distance

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Q: TA ladder 20 ft. long leans against a house. When it is 16 ft. from the house, find the rate at…

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Q: An jet travels horizontally at a speed of 500mph at an altitude of 3 miles above the ground. A…

A: We need to find the rate at which the angle of elevation is changing.

Q: What is rate of change in directed distance? a. Velocity

A: To explain about rate of change of directed distance

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Q: tangent plane

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Q: the area of a circle is decreasing at a rate of 3 meters-squared per second. find the rate of change…

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Q: The base radius of cylindrical vessel full of oil is  30 cm . oil is drawn at the rate of…

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Q: A ballistic missile is fired using a vertical launching system from a silo (launch site). The…

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Q: A particle travels according to the velocity function shown below, where velocity is measured in…

A: displacement = ∫v(t)=∫01(-2t-1)dt + ∫13(2t-5)dt=-2t22-t01 + 2t22-5t13

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Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. What is your estimate of the…

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Q: A runner sprints around a circular track of radius 100 m ata constant speed of 7 m/s. The runner’s…

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Q: A ball with mass 0.15 kg is thrown upward with initial velocity 20 m/s from the roof of a building…

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Q: maximum Rate af change f faxiy)にろメこかyー2メり at (11) and the direction in which it occurs?

A: The maximum rate of change of F at (1,1) = 17 The direction of maximum change of F = <4,1>.…

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Q: How do i find the vertical/horizontal shift as well as the stretch

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Q: What is the vertical stretch or compression? What is the horizontal stretch or compression? what…

A: Graph

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Q: using two appropriate coordinates, construct equations of tangent and normal for each coordinate…

A: Given  Gradient of tangent is 3

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Q: A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an…

A: A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an…

Q: The velocity function (in meters per second) is given for a particle moving along a line. (a) Find…

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Q: suppose you are climbing a hill Whose shape is giu by the , where X, y, 0.005X are measured in…

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Q: At a certain moment, an object in linear motion has velocity 94 m/s. Estimate the distance traveled…

A: velocity =94m/sec

Q: What is the linear velocity of the Ferris wheel in inches per second?

A: Linear velocity of wheel = circumference of the circle × angular velocity.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.