A table tennis ball that has been hit Is about 13.39 times as fast as the speed for the swimming. What is the speed for the table tennis ball? * swimming is 5.47

A table tennis ball that has been hit Is about 13.39 times as fast as the speed for the swimming. W

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sarai47

13.05.2022

Mathematics

The first positive x-intercept for the function f(x) = 2cos(x + 3) is (1.712, 0) .

Step-by-step explanation:

The x-intercept is the point where a line crosses the x-axis,

To find the x-intercept for the function f(x) = 2cos(x + 3) , let's substitute f(x) = 0 into the equation and solve for x:

$2\cos \left(x+3\right)=0\\\\\frac{2\cos \left(x+3\right)}{2}=\frac{0}{2}\\\\\mathrm{General\:solutions\:for}\:\cos \left(x+3\right)=0\\\\x+3=\frac{\pi }{2}+2\pi n,\:x+3=\frac{3\pi }{2}+2\pi n$

We want the value of the first positive x-intercept so we take the value of $x=\frac{3\pi }{2}+2\pi n-3$ when n = 0.

$x=\frac{3\pi}{2}+2\pi\cdot 0-3\\\\x=\frac{3\pi }{2}-3\approx 1.712$

We can check our answer with the graph of the function. We can see that we get the same answer.

To three decimal places, find the value of the first positive x-intercept for the function f(x) = 2c

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