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3 years ago

What is the integral of a square root? Please explain.

Mathematics

2 answers:

dolphi86 [110]3 years ago

6 0

Its not guaranteed to be same form.it could be any polynomial that can not be easily formed into squares .try one out!

IrinaK [193]3 years ago

5 0

If y = xⁿ

∫y dx = xⁿ⁺¹ / (n + 1) + C Provided n ≠ -1.

y = √x

y = x^(0.5)

∫y dx = x^(0.5+1) / (0.5 + 1) = x^(1.5) / 1.5 = x^(1.5) / (3/2)

∫y dx = (2/3) x^(1.5) + C.

∫y dx = (2/3) x^(3/2) + C.

∫y dx = (2/3)√x³ + C

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3 years ago

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krok68 [10]

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3 years ago

Read 2 more answers

Three vertices of a parallelogram are shown in the figure below.

a_sh-v [17]

Given:

The three vertices of the parallelogram are (-3,9), (0,-3), (6,-6).

To find:

The fourth vertex of the parallelogram.

Solution:

Consider the three vertices of the parallelogram are A(-3,9), B(0,-3), C(6,-6).

Let D(a,b) be the fourth vertex.

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

We know that the diagonals of a parallelogram bisect each other. So, the midpoints of both diagonals are same.

Midpoint of AC = Midpoint BD

$\left(\dfrac{-3+6}{2},\dfrac{9+(-6)}{2}\right)=\left(\dfrac{0+a}{2},\dfrac{-3+b}{2}\right)$

$\left(\dfrac{3}{2},\dfrac{3}{2}\right)=\left(\dfrac{a}{2},\dfrac{-3+b}{2}\right)$

On comparing both sides, we get

$\dfrac{3}{2}=\dfrac{a}{2}$

$3=a$

And,

$\dfrac{3}{2}=\dfrac{-3+b}{2}$

$3=-3+b$

$3+3=b$

$6=b$

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3 years ago

Can yall please help and try to put the steps but if not i completely understand, ty

dem82 [27]

Answer:

Step-by-step explanation:

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3 years ago

Find the area of this trapezoid. Include the correct unit in your answer.

NemiM [27]

Answer:

$\displaystyle A _{ \text{trapezoid}} = 70 {m}^{2}$

Step-by-step explanation:

we are given a trapezoid

we want to figure out the area

remember that,

$\displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h$

where a and b represent the parallel lines and h represents the height

we get from the pic that a and b are 5 and 15 respectively and h is 7

so substitute:

$\displaystyle A _{ \text{trapezoid}} = \frac{5 + 15}{2} \times 7$

simplify addition:

$\displaystyle A _{ \text{trapezoid}} = \frac{20}{2} \times 7$

simplify division:

$\displaystyle A _{ \text{trapezoid}} = 10\times 7$

simplify multiplication:

$\displaystyle A _{ \text{trapezoid}} = 70$

since we multiply two same units we of course have to use square unit

hence,

$\displaystyle A _{ \text{trapezoid}} = 70 {m}^{2}$

4 0

3 years ago