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Ann [662]
3 years ago
10

Find the area contained between

le=" {y }^{2} = x" alt=" {y }^{2} = x" align="absmiddle" class="latex-formula">
and
y =  {x}^{2}
Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

The area is given by

\displaystyle\int_0^1\sqrt x-x^2\,\mathrm dx=\dfrac23x^{3/2}-\dfrac13x^3\bigg|_{x=0}^{x=1}

so the area is

\dfrac23-\dfrac13=\dfrac13

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Find (f•f) (0)<br> F(x)=3x-2
NNADVOKAT [17]

Answer:  (f·f)(0) = 4

              (fof)(0) = -8

<u>Step-by-step explanation:</u>

f(x) = 3x - 2

(f·f)(x) = (3x - 2)(3x - 2)

         = 9x² - 12x + 4

(f·f)(0) = 9(0)² - 12(0) + 4

          = 4

(fof) = 3(3x - 2) - 2

       = 9x - 8

(fof)(0) = 9(0) - 8

           = -8

<em>I wasn't sure if you wanted multiplication or composition so I solved both</em>

5 0
3 years ago
Solve for f<br> -f +2 + 4f = 8 - 3f
Ulleksa [173]

Answer:

f=1

Step-by-step explanation:

Let start off with doing -f plus 4f which gives you 3f. The equation would now be 2+3f=8-3f. Add 3f so you can cancel out the -3f and add the 3f to the other 3f. Now your equation is 2+6f=8. Cancel out do by doing -2. (Don't forget to to it to the 8 also.) Now your equation is 6f=6. Divide 6 from both sides to get 1. (You divide because you want to get f alone.

4 0
3 years ago
HELP NEEDED PLEASE!!!
postnew [5]

Using vector concepts, it is found that:

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

<h3>How can a vector be represented in component notation?</h3>

Given a magnitude M and angle \theta, then a vector V can be represented as follows in component notation:

V = (M\cos{\theta}, M\sin{\theta})

In this problem, the magnitude and the angle are given, respectively, by:

M = 12, \theta = 143^\circ

Hence:

V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).

Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

More can be learned about vectors at brainly.com/question/24606590

#SPJ1

8 0
2 years ago
Write an equation of the line that passes through the given points.<br> question (-4, 3), (O, -10)
expeople1 [14]

Answer:

Y=(\frac{4}{7}) x+2

Step-by-step explanation:

Y=mx+b

M=\frac{x2-x1}{y2-y1}

M=\frac{0-(-4)}{-10-3}

M=\frac{-4}{-7}

Y=(\frac{4}{7}) x+2

3 0
3 years ago
Explain what makes 3.23 a decimal number.
nignag [31]

Answer:

the point

Step-by-step explanation:

the point makes a decimal a decimal

7 0
3 years ago
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