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4 years ago

Evaluate the following equation: integral from 3 to infinity: 1/(x-2)^(3/2) dx

1 answer:

8 0

The formula in solving the integral of the infinity of 3 is ∫3∞?(1)÷((x−2)(3/2))dx

Substitute the numbers given then solve

limn→inf∫3n(1/((n−2)(3/2))dn

limn→inf[−2/(n−2−−−−−√)−(−2/3−2−−−−√)

=0+2=2

Solve for the integral of 2 when 2 is approximate to 0. Transpose 2 from the other side to make it -2

∫∞3(x−2)−3/2dx=(x−2)−1/2−1/2+C

(x−2)−1/2=1x−2−−−−√

0−(3−2)−1/2−1/2=2

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Coefficient of x^2 in the expansion of (x-3)^3

Mila [183]

Answer:

$-9$

Step-by-step explanation:

$(x-3)(x-3)(x-3)$

$(x^2-6x+9)(x-3)$

$x^3-9x^2+27x-27$

Therefore, the coefficient of $x^2$ is $-9$ .

7 0

3 years ago

Read 2 more answers

please help! a size 8 kids shoe measures 9 2 over 3 inches. if 5 pairs of size 8 shoes are lined end to end, then how many inche

liq [111]

To answer this, I have to multiply 92/3 inches by 5.

92/3 ×5=460/3

Now to change to improper fraction to a mixed number or whole number.

460/3=153 1/3

The shoes lined up are all together is 153 1/3 inches long.

5 0

3 years ago

Help on this plsssss

lidiya [134]

Definitely answer D

5 0

3 years ago

Read 2 more answers

Use the Exterior Angle Theorem to find the measure of each angle.

navik [9.2K]

Answer:

∠ C = 36°

∠ D= 81°

∠ DEC= 63°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the interior opposite angles.

∴ (11y + 4) + (5y + 1) = 117

11y + 4 + 5y + 1 = 117

16y + 5 = 117

16y = 117-5

16y = 112

y = 112÷16

y = 7

∠ C = 5×(7) + 1 = 36°

∠ D = 11×(7) + 4 = 81°

∠ DEC = 180- 117 = 63°

PLEASE MARK THIS ANSWER AS THE BRAINLIEST

7 0

3 years ago

Okay this my last one can y'all help

zlopas [31]

a. The solution is (0,2)

b. The first expression will be easier to substitute as in the first expression the variable y is already isolated on one side of the equation so we can easily put 5x+2 in place of y in equation 2.

Step-by-step explanation:

Given equations are:

$y = 5x+2\ \ \ \ Eqn1\\12.5x+2.5y = 5\ \ \ \ Eqn2$

a. Solution

Putting y = 5x+2 in equation 2

$12.5x+2.5(5x+2) = 5\\12.5x+12.5x+5 = 5\\25x +5 = 5\\25x = 5-5\\25x = 0\\x = 0$

Putting x = 0 in equation 1

$y = 5(0)+2\\= 0+2 = 2$

Hence,

The solution is (0,2)

b: Reason:

The first expression will be easier to substitute as in the first expression the variable y is already isolated on one side of the equation so we can easily put 5x+2 in place of y in equation 2.

Keywords: Linear equation, substitution

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#LearnwithBrainly

7 0

4 years ago