You bail out of a helicopter and pull the ripcord of your parachute. Your downward velocity satisfies the initial value problem​ below, where v is measured in​ ft/s and t in seconds. dv/dt=32-1.59v, v(0)=0 a) Select the slope field for this differential equation and the appropriate solution curve. b)What will your limiting velocity​ be in ft/sec? c). Approximately how long in seconds will it take you to reach​ 95% of your limiting velocity?

Q: b. Use the differential you've just calculated to estimate the value of 9.2

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Q: Consider a point at x = 5 on the curve Ax³y + Bx²+ Cy+D=0, where A = 3, B = 4, C = 5, and D = 1. If…

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Q: Suppose an object is moving along a line such that the acceleration after t seconds is 6t -8t…

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Q: Excrcise 2. dy Find the derivative dr where y satisfies the equation Y = In /x2 + y² arctan

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Q: Use implicit differentiation to find dv/dL.

A: We will use concepts of differentiation in this.

Q: Solve the problem. An object of mass m is dropped from a helicopter. Assuming that air resistance is…

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Q: A toy rocket is launched vertically upwards from the ground. After 5.5 seconds it begins to fall…

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Q: Find the differential of the function. p = 39 - 893/2 dp =

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Q: The displacement s (in metres) of a particle as a function of time t (in seconds) is given by s(t) =…

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Q: 9 The acceleration of a lift in a tall building is ½(t – 5) m/s² at time t seconds. At time t = 0,…

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Q: A retailer has been selling 1,000 computers a week at $750 each. The marketing department predicts…

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Q: A particle is moving along a line with an acceleration of a(t) = 6t-10 , initial velocity v(0) = 3…

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Q: The pressure, volume and temperature of an ideal gas are related by the equation 8.31T P(T,V) = V…

A: Given, P(T,V)=(8.31T)/V At centre V=12litre and T=310k

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.