Hey there! I'm happy to help!
If you raise a fraction to an exponent, you apply that exponent to the numerator and the denominator. This would give us
.
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Answer:
Sally is 30 and Suki is 20
Step-by-step explanation:
x = Sally's age
y = Suki's age
x = 10 + y
(x - 5) + (y - 5) = 40
x = 30, y = 20
30u^2v^3 and 8u^5v is : 2u^2v
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 .