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Dafna1 [17]
3 years ago
6

Write a mathematical expression for the phrase 8 divided by x added to the absolute value of 5y

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0

Answer:

|5y|+8/x

Step-by-step explanation:

The mathematical expression is |5y|+8/x

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Integration by Parts Evaluate e-2x cos(2x) dx.​
kifflom [539]

Let

I = \displaystyle \int e^{-2x} \cos(2x) \, dx[/]texIntegrate by parts:[tex]\displaystyle \int u \, dv = uv - \int v \, du

with

u = e^{-2x} \implies du = -2 e^{-2x} \, dx \\\\ dv = \cos(2x) \, dx \implies v = \dfrac12 \sin(2x)

Then

\displaystyle I = \frac12 e^{-2x} \sin(2x) + \int e^{-2x} \sin(2x) \, dx + C

Integrate by parts again, this time with

u = e^{-2x} \implies du = -2 e^{-2x} \, dx \\\\ dv = \sin(2x) \, dx \implies v = -\dfrac12 \cos(2x)

so that

\displaystyle I = \frac12 e^{-2x} \sin(2x) - \frac12 e^{-2x} \cos(2x) - \int e^{-2x} \cos(2x) \, dx + C\\\\ \implies I = \frac{\sin(2x)-\cos(2x)}{2e^{2x}} - I + C \\\\ \implies 2I = \frac{\sin(2x) - \cos(2x)}{2e^{2x}} + C \\\\ \implies I = \boxed{\frac{\sin(2x) - \cos(2x)}{4e^{2x}} + C}

6 0
2 years ago
What is the reference angle for 7pi/6​
max2010maxim [7]

Answer:

\frac{\pi }{6}

Step-by-step explanation:

\frac{7\pi }{6} is in the third quadrant

To find the reference angle subtract π from it, that is

reference angle = \frac{7\pi }{6} - π = \frac{\pi }{6}

8 0
3 years ago
What is the value of (4xy)^0
VMariaS [17]
Its1.  every number/variable that has a power to the zero, its goin to turn out to be just one
4 0
3 years ago
Find the number whose arithmetic square root is 0.6
slavikrds [6]

Answer: 0.36

Step-by-step explanation:

6/10 x 6.10= 36/100

5 0
3 years ago
Answer for -2x-41=5x-6
seraphim [82]

Answer:

x=-5

Step-by-step explanation:

-2x-41=5x-6

-35=7x

-5=x

7 0
3 years ago
Read 2 more answers
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