Suppose that while waiting for a big wave, a surfer is being propelled toward the beach in such a way that the distance (in meters) traveled is given by f (t) = 3t2 for 0 sts 1, where t is in seconds. Find the velocity v of the surfer at t = sec. To find the velocity we use the limits () - lim lim The first blank should contain the expression used to define velocity, the second a simplified expression whose denominator has a non-zero limit at your value of a. None of your answers should contain the letter а. The value for the velocity is units v (Note: sec2 = sec2). symbolic formatting help

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Q: #2.) Calculate the slope of the tangent to the given function at the given point or value of x b.)…

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A: y=2x-36-5x4

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Q: h) f(x) = Write your answer in simplified factored form. %3D

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Q: Find an equation for the tangent line to y = g(x) at the point (2, g(2)). Write your result in…

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Q: Is the function y=sec x always defined? Why or why not?

A: y=secx

Q: Find the point (a, b) on the graph of y = x² where the tangent line to the curve has a slope of -21.…

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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: