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3 years ago

Hows everyone doing. rate your mood from 1-10

Mathematics

1 answer:

earnstyle [38]3 years ago

5 0

Answer:

10!

Step-by-step explanation:

Because I ate chicken nuggets!

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Identify the percent of change as an increase or a decrease.

vodomira [7]

Answer:

Increase

Step-by-step explanation:

The number gets larger. Increase means it gets larger, but decrease means it gets lower.

5 0

3 years ago

To the nearest 0.01 degree, what angle of descent (angle of depression) must a plane 50 horizontal miles from the airport and at

HACTEHA [7]

20,000÷50=
$20000 \div 50 = 400ft$
The plane needs to descend at 400 ft per mile.

At 40 degrees?

4 0

3 years ago

What is the value to 370

MAXImum [283]

Answer:

Answer is on the pic

Step-by-step explanation:

I hope it's helpful!

5 0

2 years ago

A new truck costs $32,000 if the truck is worth 24,500 after three years write an explicit formula for the value of the car afte

Debora [2.8K]

Answer:

Step-by-step explanation:

depreciation for three years = 32000 - 24500 = $ 7500

depreciation per year = 7500/3 = $ 2500

depreciation % = (2500/32000)*100 = 7.81%

Value of truck after n years = 32000 * (7.81%)*n

8 0

3 years ago

Integrate e^x(sin(x) cos(x))

Karo-lina-s [1.5K]

$I=\int e^x(\sin(x)\cos(x))dx=\int e^x(\frac{1}{2}\sin(2x))dx=\frac{1}{2}\int e^x\sin(2x)dx$

$\text{If }u=\sin(2x)\to du=2\cos(2x)dx~\text{and}~dv=e^xdx\to v=e^x:\\\\
\text{Using }\int u\,dv=uv-\int v\,du:\\\\
I=\frac{1}{2}(e^x\sin(2x)-\int e^x(2\cos(2x))dx)\\\\
2I=e^x\sin(2x)-2\underbrace{\int e^x\cos(2x)dx}_{I_2}$

Looking for $I_2$ :

$\text{If}~u=\cos(2x)\to du=-2\sin(2x)dx~\text{and}~dv=e^xdx\to v=e^x:\\\\
I_2=e^x\cos(2x)-\int e^x(-2\sin(2x))dx\\\\ I_2=e^x\cos(2x)+2\int e^x(\sin(2x))dx\\\\ I_2=e^x\cos(2x)+2\int e^x(2\sin(x)\cos(x))dx\\\\ I_2=e^x\cos(2x)+4\int e^x(\sin(x)\cos(x))dx=e^x\cos(2x)+4I$

Replacing:

$2I=e^x\sin(2x)-2I_2\iff\\\\2I=e^x\sin(2x)-2(e^x\cos(2x)+4I)\iff\\\\
2I=e^x\sin(2x)-2e^x\cos(2x)-8I\iff\\\\
10I=e^x\sin(2x)-2e^x\cos(2x)\iff\\\\
I=\dfrac{e^x}{10}(\sin(2x)-2\cos(2x))\\\\
\boxed{\int e^x(\sin(x)\cos(x))dx=\dfrac{e^x}{10}(\sin(2x)-2\cos(2x))+C}$

6 0

3 years ago