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  3. 4 describe the physical meaning of the derivative and the...

Question: 4 describe the physical meaning of the derivative and the...

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4) Describe the physical meaning of the derivative and the integral of a function. Mention one example each of where you would use the derivative and the integral of a function in everyday applications 5) Find the general solution to the following differential equations and name the physical phenomenorn that the differential equations describe. dy dx 2 - -cy, where c is a constant. -, where k and m are constants dt2 2 d-x kx b dx where k, b and m are constants 6) Mention two examples of differential equations that are used in everyday applications (For example, cars and aeroplanes are designed using fluid streamlines governed by d-to reduce air resistance) 7) If a funnel is being used to fill water into a container as shown in Figure 1. The funnel has a height, H, and is tapered at an angle, θ, and an exit diameter, D, as shown below. What is the differential equation that describes the instantaneous drop of water height ( in the funnel? dt dy Figure 1 (Problem 7)

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