Answer: x = 5
Explanation:
2(5x + 2) = 54
10x + 4 = 54
10x = 54 - 4
10x = 50
x = 50/10
x = 5
Therefore, x = 5
Given :
A function , x = 2cos t -3sin t .....equation 1.
A differential equation , x'' + x = 0 .....equation 2.
To Find :
Whether the given function is a solution to the given differential equation.
Solution :
First derivative of x :

Now , second derivative :

( Note : derivative of sin t is cos t and cos t is -sin t )
Putting value of x'' and x in equation 2 , we get :
=(-2cos t + 3sin t ) + ( 2cos t -3sin t )
= 0
So , x'' and x satisfy equation 2.
Therefore , x function is a solution of given differential equation .
Hence , this is the required solution .
The area of the triangle is 27cm.
Answer:
2/3
Step-by-step explanation:
even number elimates half of the dice sides
3
so with this number only one is less than 3, 2.
there is a 2/3rds chance it is greater than 3
It's the identity equation so