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vfiekz [6]
3 years ago
14

What is the average score? 79, 82, 85, 91, 97, 73, 88, 87, 85, 92, 90, 85, 86, 91, 94, 85, 92

Mathematics
2 answers:
Illusion [34]3 years ago
8 0
The average score is 87.17647058823529 or 87.17 or 87.2, because you add all of them together then you divide it by how many scores there are.

alexdok [17]3 years ago
7 0
79+82+85+91+97+73+88+87+85+92+90+85+86+91+94+85+92=1482 divided by 17 ( the amount of numbers) = 87.17 
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Find f. f ''(x) = −2 + 36x − 12x2, f(0) = 8, f '(0) = 18 f(x) =
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Integrate <span>f ''(x) = −2 + 36x − 12x2 with respect to x:

f '(x) = -2x + (36/2)x^2 - (12/3)x^3 + c.  Find c by letting x = 0 and using f(0)=8.

Then f '(0) = -2x + 18x^2 - 4x^3 + c = 18 (which was given).

Then             -0      + 0      - 0 + c = 18, so c = 18 and 

f '(x) = </span>-2x + 18x^2 - 4x^3 + 18.

Go through the same integration process to find f(x).
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G find the domain for the particular solution to the differential equation dy dx equals the quotient of negative 1 times x and y
faust18 [17]
\frac{dy}{dx} = \frac{-x}{y}
by separating the variables
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integrating both sides with respect to x
∴ ∫y dy = ∫-x dx
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finding c using initial condition y(2) = 2.
∴ \frac{ 2^{2} }{2} = - \frac{ 2^{2} }{2} +c
∴ c = 4
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multiplying all the equation by 2
∴ y² = -x² + 8
∴ x² + y² = 8
The resultant equation represents the equation of the circle
with center (0,0)  and radius = √8 = 2√2
so, the domain of this function is [-2√2 , 2√2]
See the attached figure



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