If f(x)=sin(x/2) then there exists a number c in the interval Tt/2

Q: The functions f₁(x) = x² and f(x)=x³ are orthogonal on the interval [-3,3] ? True False

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Q: Find the intervals on which the function is continuous. x +5 17) y =2-7x + 10

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Q: f"(x) = x* + 2x3 – 15x², then on which of the following intervals is f

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Q: (a) Prove that if æ > 3 and y > 4, then ry > 11. (b) Determine the range of f, if f : D → R, where…

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Q: 3. Determine whether the Mean Value Theorem can be applied to f (x) = Vx + 3 on [-3,6]. Find all…

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Q: Find the number c that satisfies the conclusion of the Mean Value Theorem for this function f and…

A: The given function is  and the secant line that passes through the points (1, 6) and (10,…

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: