Question
Multiple Choice What is the average value of the cosine function on the interval [1,5]$?$(A) -0.990(B) -0.450(C) -0.128(D) 0.412(E) 0.998
Step 1
The integral of cosine x is sin x. So, we have: \[\int_{1}^{5} \cos x \, dx = \sin x \Big|_{1}^{5}\] Show more…
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Multiple Choice What is the average value of the cosine function on the interval [ 1,5 ] ? $\begin{array} { l l } { \text { (A) } - 0.990 } & { ( \text { B) } - 0.450 } \\ { \text { (D) } 0.412 } & { ( \text { E) } 0.998 } \end{array}$
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The value of $\cos \left(\cos ^{-1}\left(\frac{12}{15}\right)+\cos ^{-1}\left(\frac{4}{5}\right)\right)$ is (a) $\frac{1}{5}$ (b) $\frac{3}{10}$ (c) $\frac{3}{25}$ (d) $\frac{7}{25}$
Find the average value of the function on the given interval. Lise equation (4.8) if it applies. If an average value is zero, you may be able to determine this from a sketch. $\cos x$ on $(0,3 \pi)$
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Average valuc of a function
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