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3 years ago

10

SOMEONE ANYONE PLEASE

1 answer:

Charra [1.4K]3 years ago

7 0

Answer:

Yes.

Step-by-step explanation:

If two of the angles in the triangle are the same, the third is also the same. This means both triangles are the same.

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Evaluate using integration by parts

PolarNik [594]

Rather than carrying out IBP several times, let's establish a more general result. Let

$I(n)=\displaystyle\int x^ne^x\,\mathrm dx$

One round of IBP, setting

$u=x^n\implies\mathrm du=nx^{n-1}\,\mathrm dx$

$\mathrm dv=e^x\,\mathrm dx\implies v=e^x$

gives

$\displaystyle I(n)=x^ne^x-n\int x^{n-1}e^x\,\mathrm dx$

$I(n)=x^ne^x-nI(n-1)$

This is called a power-reduction formula. We could try solving for $I(n)$ explicitly, but no need. $n=5$ is small enough to just expand $I(5)$ as much as we need to.

$I(5)=x^5e^x-5I(4)$

$I(5)=x^5e^x-5(x^4e^x-4I(3))=(x-5)x^4e^x+20I(3)$

$I(5)=(x-5)x^4e^x+20(x^3e^x-3I(2))=(x^2-5x+20)x^3e^x-60I(2)$

$I(5)=(x^2-5x+20)x^3e^x-60(x^2e^x-2I(1))=(x^3-5x^2+20x-60)x^2e^x+120I(1)$

$I(5)=(x^3-5x^2+20x-60)x^2e^x+120(xe^x-I(0))$

Finally,

$I(0)=\displaystyle\int e^x\,\mathrm dx=e^x+C$

so we end up with

$I(5)=(x^4-5x^3+20x^2-60x+120)xe^x-120e^x+C$

$I(5)=(x^5-5x^4+20x^3-60x^2+120x-120)e^x+C$

and the antiderivative is

$\displaystyle\int2x^5e^x\,\mathrm dx=(2x^5-10x^4+40x^3-120x^2+240x-240)e^x+C$

8 0

2 years ago

Can someone solve for x please:

Alecsey [184]

THe LCD is x(x^2 - 4)

so multiplying through by this we get:-

2x(x + 2) + 7x = 5(x^2 - 4)
2x^2 + 4x + 7x = 5x^2 - 20
3x^2 - 11x - 20 = 0

(3x + 4)(x - 5 ) = 0

so x = 5 , -4/3

Its the second choice

3 0

2 years ago

Read 2 more answers

George had one sheet of paper. He cut it into 6" x 5", and 3" x 6". What were the dimensions and total area of his original shee

Deffense [45]

Answer: $l={8}'' ,b={6}''$ , $l={6}'' ,b={8}''$

and area is $=48$ inch square

Step-by-step explanation:

area of sheet $=l\times b$

area of sheet first $={6}''\times {5}''$

$=30$ inch square

area of sheet second $={3}''\times {6}''$

$=18$ inch square

total area of both sheet $=30+18$

$=48$ inch square

area of sheet $=l\times b$

$=48$ inch square

$l={6}'' ,b={8}''$

or

$l={8}'' ,b={6}''$

perimeter of sheet

$=2\left ( l+b \right )$

$=2(6+8)$

$={28}''$

3 0

3 years ago

Read 2 more answers

The sum of two and a number is less than five

Furkat [3]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the English statement

''The sum of two and number is less than five''.

Let us breakdown the statement.

Let 'n' be the number.

The sum of two and number = 2 + n

We know that the less than symbol is denoted by '<' which is used for comparison.

Thus, the statement 'The sum of two and a number is less than five' is algebraically represented as:

2 + n < 5

Let us solve the algebraic expression.

$2+n$

Subtract 2 from both sides

$2+n-2$

Simplify

$n$

Thus, the solution is:

$2+n$

Please also check the attached solution line graph.

4 0

2 years ago

If the function for predicting the growth of a population is F = 4.9(1.014)t. Based on the function, which statement accurately

Blizzard [7]

Answer: B

Step-by-step explanation:

5 0

2 years ago