2 years ago

Solve.

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

4 0

Your answer is 7/8 bc 3+4=7

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Sketch the region enclosed by y=3x and y=x^2 . Then find the area of the region.

kolezko [41]

Answer:

$A=4.5u^2$

Step-by-step explanation:

The integral of a function gives you the area under the curve, the subtraction of one of the areas from the other will give you the area in between.

The limits of integration are the points where the curves intersect each other(take the curves has a system of equation and solve for x and y):

$y=3x, y=x^2\\3x=x^2\\x^2-3x=0\\x(x-3)=0\\x_1=0\\x-3=0\\x_2=3$

$y_1=3x_1=3(0)=0\\y_2=3x_2=3(3)=9$

The integral will be the subtraction of the curve $y=3x$ and $y=x^2$ (In the graph you can see y=3x is the upper curve):

$\int\limits^3_0 {3x-x^2} \, dx =\left\frac{3x^2}{2}-\frac{x^3}{3}\right|^3_0=\frac{3(3)^2}{2}-\frac{(3)^3}{3}-\left(\frac{3(0)^2}{2}-\frac{(0)^3}{3}\right)\\\int\limits^3_0 {3x-x^2} \, dx =\frac{27}{2}-\frac{27}{3} =13.5-9=4.5u^2$

6 0

2 years ago

If you mix red and white paint in different ratios, you will get different shades of pink paint. If the ratios are equivalent, t

Elenna [48]

Answer:

yes

Step-by-step explanation:

and red and 1 white

and you got pink

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3 years ago

Which equation is a point slope form equation for line AB ?

guapka [62]

I believe the answer is D
y+2=-2(x-5)
-2*-5=10
y+2=-2x+10
-2 -2
y=-2x+8

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3 years ago

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free points? only 1st ;-; pls be nice and dont report dis :'), ppl need points to ask more question so dont answer this if you d

spin [16.1K]

Answer:

Thank you could I possibly get brainliest if you don't want to it's okay just asking

Step-by-step explanation:

Have a good day/night :)

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2 years ago

In math class the girl to boy ratio is 3to 6 if there are 15 girls how many boys are there?

kenny6666 [7]

Proprtions

3 / 6 = 15 / x

so 15 * 6 = 90

divide by 3 and get 30 boys

4 0

3 years ago

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