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professor190 [17]
3 years ago
7

How does f(x) = 3* change over the interval x = 4 to x = 57

Mathematics
1 answer:
Vilka [71]3 years ago
6 0

f(x) increase by a factor of 3

Explanation:

        Given that f(x)= 3* and the interval is x=4 to x=57

        Now we put the value for x is 4 to 57 then value of f(x) increase with the multiply of 3.

        Because the x is multiplied with 3 i.e., 3*

        So f(x) increase by a factor of 3.

        If we put x=4, then f(x)= 12     (∵ 3×4=12)

        If we put x=5, the f(x)= 15       (∵ 3×5=15)

        If we put x=6,the f(x)= 18             (∵ 3×6=18)

similarly., values of x= 7,8,9,...155.

        Then,

        If we put x=56, the f(x)=168

        This process will continue until f(x)=171 for x=57.

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Answer:

We know that ,

\rightarrow \tt \cos( \frac{\pi}{3} )  =  \frac{1}{2}

So ,

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Also,

\: \rightarrow \tt  \cos( \frac{14\pi}{6} )  =  \frac{1}{2}  \\  \\  \\ \rightarrow \tt \frac{1}{2}  x =  \frac{14\pi}{6}  \\  \\ \rightarrow \tt x =  \frac{7\pi}{3}

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2 years ago
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6 0
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