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3 years ago

8 x 2/3 x (-6) x (3/4) x (-1)

Mathematics

1 answer:

ANTONII [103]3 years ago

7 0

Simplify the following:

(-6 (-8)×2×3 x x x x)/(3×4)

(8 x×2 x (-6) x×3 x (-1))/(3×4) = (8 x^4×2 (-6)×3 (-1))/(3×4):

(-6 (-8)×2×3 x^4)/(3×4)

8×2 = 16:

(-6 (-3)16 x^4)/(3×4)

16 (-6) = -96:

(-3-96 x^4)/(3×4)

-96 (-3) = 288:

(288 x^4)/(3×4)

3×4 = 12:

(288 x^4)/12

1 | 2 | | 2 | 4

| 2 | 8 | 8

- | 2 | 4 |

| | 4 | 8

| - | 4 | 8

| | | 0:

Answer: 24 x^4

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Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 7y = sin(x)

Elza [17]

The first thing we must do in this case is find the derivatives:
y = a sin (x) + b cos (x)
y '= a cos (x) - b sin (x)
y '' = -a sin (x) - b cos (x)
Substituting the values:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
We rewrite:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
sin (x) * (- a-b-7a) + cos (x) * (- b + a-7b) = sin (x)
sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
From here we get the system:
-b-8a = 1
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Whose solution is:
a = -8 / 65
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Answer:
constants a and b are:
a = -8 / 65
b = -1 / 65

4 0

3 years ago

Consider the following equation.

EastWind [94]

The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.

<h3>What is the Quartic Formula?</h3>

The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.

<h3>What is the solution to the above question?</h3>

First we restate the above equation:

x²-3x+2= √(x-2) + 2

Next we remove square roots

$x^{4}$ - 6x³ + 9x² = x - 2

Add two to both sides

→ $x^{4}$ - 6x³ + 9x²+2 = x - 2 +2

→ $x^{4}$ - 6x³ + 9x²+2 = x

Subtract X from both sides

→ $x^{4}$ - 6x³ + 9x²+2 -x = x -x

→ $x^{4}$ - 6x³ + 9x²+2 - x= 0

Using the Quartic formula to solve the fourth order equation:
a $x^{4}$ + bx³ + cx² + dx + e

The resolution of x is given as:

x = 2.691085, 3.346753

Because the fraction nearest to 3.4 is 55/16

hence, the correct answer is Option A.

Learn more about quadratic equations at;
brainly.com/question/25841119
#SPJ1

6 0

2 years ago

Ya'll fr get 50 points if you answer this. <br> What is the rate of change of <img src="https://tex.z-dn.net/?f=f%28x%29%3D2%5Ex

Evgesh-ka [11]

Answer:

$\dfrac{dy}{dx}=2^x\ln 2$

Step-by-step explanation:

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