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Kisachek [45]
3 years ago
12

Integral of sin^4 (6x) dx

Mathematics
2 answers:
disa [49]3 years ago
8 0
The question is asking to calculate and find the integral of sin^4(6x)dx, and base on my further computation and formulation about the said equation, I would say that the integral value of the said equation is <span>| | = 1/192 (72 x-8 sin(12 x)+sin(24 x))+constant. I hope you are satisfied with my answer and feel free to ask for more </span>
DENIUS [597]3 years ago
7 0
Hello,

\boxed{sin^4\ x= \frac{3}{8}- \frac{cos\ 2x}{2}+\frac{sin\ 4x}{8}  }\\&#10;&#10;Let's assume t=6x \ dt=6\ dx\\&#10;&#10; \int\limits {sin^4\ 6x} \, dx =  \frac{1}{6} *\int\limits {sin^4\ t} \, dt \\&#10;&#10;= \dfrac{1}{6} *( \frac{3t}{8} - \frac{sin\ 2t}{4} +\frac{sin\ 4t}{32})+C\\&#10;&#10;= \dfrac{3x}{8} - \frac{sin\ 12x}{24} +\frac{sin\ 24x}{192} +C&#10;
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Answer:

You need to have a minimum of 16 inches of clearance.

Step-by-step explanation:

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3 years ago
The temperature was –3o C last night. It is now –4o C. What was the change in temperature?
Yuki888 [10]

Answer: -1

Step-by-step explanation: So if the Temperature last night was at -3o C and now it is -4o C it went down by 1 but dont forget the negative symbol.-1

you can think like this: -3-4=-1

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4 years ago
Standard deviation of a normal data distribution is a _______. Group of answer choices
FrozenT [24]

Answer:

Standard deviation of a normal data distribution is a measure of data dispersion.

Step-by-step explanation:

Standard deviation is used to measure dispersion which is present around the mean data.

The value of standard deviation will never be negative.

The greater the spread, the greater the standard deviation.

Steps-

1. At first, the mean value should be discovered.

2.Then find out the square of it's distance to mean value.

3.Then total the values

4.Then divide the number of data point.

5.the square root have to be taken.

Formula-

SD=\sqrt{\frac{(\sum{x-x)^2}  }{n-1}

   Advantage-

It is used to measure dispersion when mean is used as measure of central tendency.

5 0
3 years ago
An engineering crew ran several tests on a new automobile engine they were designing. The mean fuel consumption was 52.4 miles p
zhenek [66]

Any value which is more than 2 standard deviations away from the mean is considered to be "unusual."  

2 standard deviations above the mean 52.4 mp would be 52.4+2(1.8), or 56; 2 std devs below the mean would be 52.4 - 2(1.8), or 48.8.  Thus, any value larger than 56 or any value smaller than 48.8 would be "unusual."

54.8, 49.1 and 51.3 are not unusual; 56.5 is unusual, because it's greaster than 56.

8 0
3 years ago
Would someone please help me?!
ella [17]
So
bowl is a half sphere
cylinder is a cylninder
cone is cone

bowl:
area of circle=4/3 pi times r^3
half bowl=4/3 times 1/2 times pi times r^3=2/3pi r^3

cylinder=height times pi times radius^2
this cylinder=r times pi times r^2=pi times r^3


cone=1/3 times height times pi times radius^2
thgis cone=1/3 times r tiimes pi times r^2=1/3 times pi times r^3

compare
bowl=2/3 pi r^3
cylinder=pi r^3
cone=1/3 pi r^3
the cylinder is biggest
CYLINDER IS THE ANSWER




2.
sphwere=4/3 times radius^3 times pi
this sphere=4/3 times pi times r^3

cylinder=height times radius^2 time pi
this cylinder=2r times r^2 times pi=2r^3 times pi

cone=1/3 times height time r^2 times pi
this cone=1/3 times 2r times r^2 times pi=1/3 times 2r^3 times pi=2/3 times r^3 times pi

sphere:4/3 pi r^3
cylinder: 2 pi r^3
cone: 2/3 pi r^3
7 0
3 years ago
Read 2 more answers
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