The general solution to the differential equation is y = sinx + c cosx.
<h3>What is differential equation?</h3>
It is defined as the equation which contains functions, derivative of the functions to make an expression.
We have a differential equation:
Multiply by dx:
(cosx) dy + (sinx) y dx = dx
(cosx) dy = (1 - (sinx) y) dx
After simplification and integrating, we will get:
y = sinx + c cosx
Thus, the general solution to the differential equation is y = sinx + c cosx.
Learn more about the differential equation here:
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We know that
The formula for combinations is<span>
C=n!/[(n-r)!*r!]
where
n is the total number of objects you choose from
r is the number that you choose to arrange
in this problem
n=7 </span>assignments
r=5 assignments
<span>
C=7!/[(7-5)!*5!]----->
C=7!/[2!*5!]---> (7*6*5!)/(2*5!)-----> C=21</span>
<span>
the answer is</span>
<span>21</span>
Answer:
x = 4.3
Step-by-step explanation:
x= 4.3
Answer:
x = 25
Step-by-step explanation:
Equiangular triangle is also equilateral triangle.
This means their sides are of equal length.
So, AB = BC = AC
Consider AB = BC
3x - 5 = 2x + 20
3x - 2x = 20 + 5
x = 25
Check:
Length of AB = 3x - 5 = 3(25) - 5 = 75 - 5 = 70
Length of BC = 2x + 20 = 2(25) + 20 = 50 + 20 = 70
Length of AC = 4x - 30 = 4(25) - 30 = 100 - 30 = 70
Step-by-step explanation:
Answer:
And we can find the individual probabilities with the mas function adn we got:
And replacing we got:
Step-by-step explanation:
Let X the random variable of interest "number of workers who find their jobs stressful", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
We want to find the following probability:
And we can find the individual probabilities with the mas function adn we got:
And replacing we got: