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3 years ago

Need some help with this here problem: thanks :)

Mathematics

1 answer:

iVinArrow [24]3 years ago

5 0

Answer:

Step-by-step explanation:

$\left(\left(-3\right)^{16^{\frac{1}{2}}}-\left(-7\right)^{8^{\frac{1}{3}}}\right)^{0.2}=32^{0.2}\\=32^{0.2}A\\32^{0.2}=2\\= 2A$

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Find a homogeneous linear differential equation with constant coefficients whose general solution is given by

frez [133]

Answer:

$y" + 2y' + 2y = 0$

Step-by-step explanation:

Given

$y=c_1e^{-x}cosx+c_2e^{-x}sinx$

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

$y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)$

Where

$\alpha = -1$ and $\beta = 1$

For a homogeneous linear differential equation, the repeated value m is given as:

$m = \alpha \± \beta i$

Substitute values for $\alpha$ and $\beta$

$m = -1 \± 1*i$

$m = -1 \± i$

Add 1 to both sides

$m +1= 1 -1 \± i$

$m +1= \± i$

Square both sides

$(m +1)^2= (\± i)^2$

$m^2 + m + m + 1 = i^2$

$m^2 + 2m + 1 = i^2$

In complex numbers:

$i^2 = -1$

So, the expression becomes:

$m^2 + 2m + 1 = -1$

Add 1 to both sides

$m^2 + 2m + 1 +1= -1+1$

$m^2 + 2m + 2= 0$

This corresponds to the homogeneous linear differential equation

$y" + 2y' + 2y = 0$

6 0

3 years ago

Tre's walk from his house to the bus stop is of a mile. He is able to complete the walk each day in of an hour. What is Tre's wa

umka21 [38]

Tre's walking speed is 1mi/hr.

Data given;

distance = 1 mile
time = 1 hour

<h3>Speed or Velocity</h3>

This is the rate at which an object covers a distance within a particular time frame.

$speed = \frac{distance}{time}$

substituting the values into the equation

$speed = \frac{1}{1}\\ speed = 1 m/s$

Tre's walking speed is 1mi/hr

Learn more on speed, rate here;

brainly.com/question/11408596

brainly.com/question/2296493

8 0

2 years ago

Express each number as a product of its prime factor of 39

vitfil [10]

If you just mean the product of the prime factors of 39 then this is the answer

39 = 3 x 13

5 0

3 years ago

Five times a whole number is more than 92 , find the possible values of this number

sergeinik [125]

It could be 19 or above

7 0

3 years ago

Mathematics Areas and perimeters

sweet-ann [11.9K]

Answer:

54.5 Sq. cm

Step-by-step explanation:

<em>area of a right angled triangle = 1/ 2 × base × height </em>

(here, the base is 8 and height is 6)

= 1/ 2 × 6 × 8

= 4 × 6

<u>= 24 Sq. cm</u>

<em>area of a circle</em> = $\pi$ r²

(r is the radius that is diameter/ 2, and the value of $\pi$ is 3. 14)

r = 10/ 2 = 5 cm

= 3. 14.× (5)²

= 3.14 × 25

<u>= 78.5 Sq. cm</u>

area of the shaded region = area of Circle - area of triangle

= 78.5 - 24

that is option 3

7 0

2 years ago