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Nastasia [14]
3 years ago
5

Part 1: Write mathematical equations of sinusoids.

Mathematics
1 answer:
Ilya [14]3 years ago
5 0

Answer:

Part 1: Write mathematical equations of sinusoids.

1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.

a) What is the phase shift, c, of this curve? (2 points)

b) What is the vertical shift, d, of this curve? (2 points)

c) What is the amplitude, a, of this curve? (2 points)

d) What is the period and the frequency factor, b, of this curve? (2 points

e) Write an equation using the cosine function that models this data set. (5 points)

2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to

model the curve using the sine function

Step-by-step explanation:

<em> </em><em>p</em><em>l</em><em>z</em><em> </em><em>f</em><em>o</em><em>l</em><em>o</em><em>w</em><em> </em><em>m</em><em>e</em>

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postnew [5]
Lets solve the equation first:
<span> 0.5 – |x – 12| = –0.25
</span>= 1/2 - |x - 12| = -1/4
= 2 - 4<span>|x - 12| = -1
= 4|x - 12| = 3
= |x - 12| = 0.75
positive case, x >= 12
x - 12 = 0.75
x = 12.75
negative case, x < 12
x - 12 = -0.75
x = 11.25
So those are the two solutions.
These apply:
</span>1.) The equation will have no solutions.
2.) A good first step for solving the equation is to subtract 0.5 from both sides of the equation.
<span>3.) A good first step for solving the equation is to split it into a positive case and a negative case.
</span><span>5.) The negative case of this equation is x – 12 = –0.75.</span>
7 0
4 years ago
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A health food store was charging $4.10 for a small salad but raised the price 8%. The new price after the increase is $4.43.Ente
Otrada [13]

Answer: $4.10*0.08%=0.33

Step-by-step explanation:

7 0
1 year ago
I'm not sure where to start and how to differentiate this.
Mazyrski [523]
The picture is not clear. let me assume y = (x^4)ln(x^3)

product rule :
d f(x)g(x) = f(x) dg(x) + g(x) df(x)

dy/dx = (x^4)d[ln(x^3)/dx] + d[(x^4)/dx] ln(x^3)
= (x^4)d[ln(x^3)/dx] + 4(x^3) ln(x^3)

look at d[ln(x^3)/dx]
d[ln(x^3)/dx]
= d[ln(x^3)/dx][d(x^3)/d(x^3)]
= d[ln(x^3)/d(x^3)][d(x^3)/dx]
= [1/(x^3)][3x^2] = 3/x
... chain rule (in detail)

end up with
dy/dx = (x^4)[3/x] + 4(x^3) ln(x^3)
= x^3[3 + 4ln(x^3)]

5 0
3 years ago
The graph of quadratic function p is shown on the grid. (-3, 3) (3, 3) If (x) = x and p(x) = 5(x) + n, what is the value of n?​
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Answer:

Step-by-step explanation:

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Bobby is 12 years old. His age is nine
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