ke f(t) = where k is a fixed constant. (1+e*)2 (a) A sketch of the graph of f is given below. Showing all your working, find the coordinates of the turning point on the graph if k = 1500. (b) Find the general antiderivative F(t) of f(t), i.e. calculate f(t) dt with k= 1500.

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A:

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A: we will find the required.

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A:

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A:

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Q: Find linearization L(x) of f(x) = tanh=' at a= 0 and use it to estimate f(0.01).

A: Topic:- linearisation

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Q: g(x) = f(t) dt [ -2

A:

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A:

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A:

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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.