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andriy [413]
3 years ago
11

Find the area of the shaded region.f(x)=4x+3x2−x3,g(x)=0 The area is _____.

Mathematics
1 answer:
Tasya [4]3 years ago
7 0

Answer:

The answer is " \bold{\frac{7}{2}}"

Step-by-step explanation:

Given value:

\to f(x)=4x+3x^2-x^3\\\\\to g(x)=0

Find:

area=?

calculation:

\ Area = \int_{-1}^{0} -(4x+3x^2-x^3) dx  + \int_{0}^{1} (4x+3x^2-x^3) dx  \\\\

        =  -(2x^2+x^3- \frac{x^4}{4})_{-1}^{0} + (2x^2+x^3- \frac{x^4}{4})_{0}^{1}\\\\\\=  -( 2x^2+x^3- \frac{x^4}{4})_{-1}^{0} + (2x^2+x^3- \frac{x^4}{4})_{0}^{1}\\\\\\= ( 2- 1 -\frac{1}{4}) + (2+1- \frac{1}{4})\\\\\\=  ( \frac{8-4-1}{4}) + (\frac{8+4-1}{4})\\\\=  ( \frac{3}{4}) + (\frac{11}{4})\\\\=   \frac{3}{4} + \frac{11}{4}\\\\= \frac{11+3}{4}\\\\= \frac{14}{4}\\\\= \frac{7}{2}\\\\

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loris [4]
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This is a simple projectile calculation. What we want is a vertical velocity such that the time the droplet spends going up and going back down to the surface exactly matches the time the droplet takes to travel horizontally 0.800 meters. The time the droplet spends in the air will is:
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 Let's substitute the desired distance and solve for V
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3 years ago
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Answer:

hope it's help you dear

Step-by-step explanation:

The decimal part of your number seems to have the repeating digit 5 in it.

Your original number to convert is 1.550000. Let's slide the decimal point in this number to the right 1 place(s) (the same number of digits in the number 5).

If we do this, we'll get a 15.500000 (slide the decimal in the 1.550000 right 1 places, you'll get 15.500000).

So what? Well now, we have two numbers with the same repeating decimal parts, 15.500000 and 1.550000.

Now let's just work a little algebra into all of this. Let's call your original number x. And in this case, x=1.550000. The number with the decimal point slid over can be called 10x, because 10x=15.500000

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The fractional part of the mixed number is found by using the remainder of the division,

which in this case is 5 (14 divided by 9 is 1 remainder 5).

So your final answer is: 1.550000 can be written as the fraction

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