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Katyanochek1 [597]
2 years ago
15

The function g(x) = p sin x +q, where p>0, has a maximum value of 10 and a minimum value of -4. Find the value of p and of q.

Mathematics
1 answer:
tester [92]2 years ago
7 0

Answer: p=7, q=3

Step-by-step explanation:

The midline of the function is

\frac{10-4}{2}=3 \implies q=3

This means that to obtain a maximum of 10, when \sin x reaches it's maximum, 1, g(x)=p+q=10 \implies p=7

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