Find the solution of the given initial value problem. ty' + 2y = sin t, y π 2 = 1, t > 0

Mathematics

1 answer:

vitfil [10]3 years ago

8 0

Consider this solution (see the attachment, 5 steps).

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Show that 21^n, n €N can never ends with 0,2,4,6 and 8

erastovalidia [21]

Answer:

Step-by-step explanation:

$21 ^n = (3 \times 7)^n$

21 has no 2 in it's prime factorization. So it can never end in 0, 2 , 4 , 6 , 8.

Odd number raise to any number is always odd, Which does not include 2, 4, 6 , 8.

So $21^n$ does not end with 0, 2, 4 , 6 , 8.

6 0

3 years ago

Carl has three lengths of cable,5/ yard long,1/4 yard long, and 2/3 yard long which two pieces make a length at least 1 yard or

Flura [38]

2/3 and 1/4 are the closest because 5 is too big.

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4 years ago

The sum of six consecutive integers is 675. What is the FIRST of the four integers?

DaniilM [7]

Yes that great hope that helped :)

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3 years ago

❌what number would you have to add to both sides to complete the square?

Verdich [7]

Hello,

Let's to remember,

To the perfect square:

X^2 +12x = -6

We would have to add 6^2

Because,

X^2 + 2.(6X) = -6

As (x+k) = x^2 +2xk +k

And,

2xk = 2.6x

xk = 6x

K = 6

Then,

(X+k)^2 = x^2 + 2xk+k^2

= x^2+2.x.6+6^2

= x^2+6x+36

We would to add 36, and would stay:

X^2 + 6X = -6

x^2 +6x + 36 = -6 +36

X^2 +2.6x +6^2 = 30

(X+6)^2 = 30

Answer is the letter A)

5 0

4 years ago

A line passes through the point (4,-6) and he a slope -3/4. Which is the equation of the line?

ANEK [815]

Answer:

The equation of the line is 3x + 4y + 12 = 0

Step-by-step explanation:

$given \: that \: the \: line \: passes \: through \: (4 , - 6) \\ and \: has \: the \: slope \: of \: \frac{ - 3}{4} \\ the \: equation \: of \: the \: line \: is \\ y - y1 = m(x - x1) \\ here \: x1 = 4 \: \: \: y1 = - 6 \: \: and \: m = \frac{ - 3}{4} \\ on \: substituting \: the \: values \: in \: formula \\ y - ( - 6) = \frac{ - 3}{4} (x - 4) \\ y + 6 = \frac{ - 3}{4} (x - 4) \\ 4(y + 6) = - 3(x - 4) \\ 4y + 24 = - 3x + 12 \\ 3x + 4y + 24 - 12 = 0 \\ 3x + 4y + 12 = 0$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

8 0

3 years ago