Q2 Find the following limits for the function y= ft) graphed below: 10 -2 1 -1 -2 O lim, ft) = t>-2* O linng f(t) = ゼ→1 (3 の limm fE)= t>ot

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A: Given: f(t) = 2t3 + 4t, then f'(t) = 6t2+4.   Then f'(4) = 6 * 16 + 4 = 100   At t = 4, f(t) = 6 *…

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A: Consider the provided function, ft=t2+1    a=3 Find the limit by the definition to evaluate  f'a and…

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A: Given:                fx=2x2+10x,     a=3 Find: f3+h and f3 f3+h=23+h2+103+h…

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Q: 1. Let f(r) 5r?. %3D (a) Using the limit definition, find f'(3). (b) Find the equation of the line…

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Q: Q2/Find the following limits for the function y= f(t) graphed below: -2 I- -る | @ lim, fCt) = %3D O…

A: See the attachment

Q: Q2/Find the following limits for the function y= ft) graphed below: 10 -1 -2 D lim, f(t) = O lima…

A: To find the limits for the function y = f(x) graph below:-

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: