Suppose f is an odd continuous function whose mean value (with respect to integral) on the interval [-2, 5] is 4 and (9f(z) + K) dx = 34, where K is a real number. Calculate 3K.

Q: Is the function f : Z→Z defined as f(n)=n^3+2 one-to-one ?

A:

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A: Given:           f  is  an even function.    ⇒  f(-x) = f(x)   for all x

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A: Given, H(x)=25-x2we have to prove that the given function is continous on the interval[-5,5]…

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A: Given, f(x)=x+65-x

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Q: Suppose f is an odd continuous function whose mean value (with respect to integral) on the interval…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: