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Rainbow [258]
3 years ago
14

What is the phase shift of a periodic function?

Mathematics
1 answer:
gogolik [260]3 years ago
7 0
The Phase Shift is how far the function is shifted horizontally from the usual position.
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Find the average of e^-x over [0,3]
yaroslaw [1]

The average value of a continuous function <em>f(x)</em> over an interval [<em>a</em>, <em>b</em>] is given by the integral,

\displaystyle \frac1{b-a}\int_a^b f(x)\,\mathrm dx

Compute the integral for <em>f(x)</em> = <em>e</em> ⁻ˣ over [0, 3] :

\displaystyle \frac1{3-0}\int_0^3e^{-x}\,\mathrm dx=\frac13(-e^{-x})\bigg|_0^3=\frac13(-e^{-3}-(-e^{-0})) = \frac13 \left(1-\frac1{e^3}\right) = \boxed{\frac{e^3-1}{3e^3}}

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e-lub [12.9K]
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Which of the following is not a correct name for the line above?
BaLLatris [955]

Answer:

Kn

Step-by-step explanation:

We are supposed to represent the line by denoting the same with atleast two points lying on it. Here in B option, the point K lies on the line but n does not. While n in itslef represents a ray. Hence the correct option for this problem is B)

3 0
3 years ago
True or false (picture provided)
Kitty [74]

Answer:

True

Step-by-step explanation:

we know that

A non-negative number is a real number greater than or equal to zero

In this problem

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x\geq 0

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Therefore

x\geq 0 express a non-negative number in symbols

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The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3. (10 points) G
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We have to integrate the expression in order to find average rate of change.

\boxed{\sf {\displaystyle{\int}}x^ndx=\dfrac{x^{n+1}}{n+1}}

Now

\\ \sf\longmapsto {\displaystyle{\int}^3_0}f(x)dx

\\ \sf\longmapsto {\displaystyle{\int}^3_0}(2x+1)dx

\\ \sf\longmapsto \left[\dfrac{2x^2}{2}+x\right]^3_0

\\ \sf\longmapsto [x^2+x]^3_0

\\ \sf\longmapsto 3^2+3-(0^2+0)

\\ \sf\longmapsto 9+3

\\ \sf\longmapsto 12

3 0
3 years ago
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