Answer:
y=2e^(−x)cosx−e^(−x)sinx
Satisfies the equation
Step-by-step explanation:
Answer:
y=2e^(−x)cosx−e^(−x)sinx
y = e^(-x)[2cosx - sinx]
Find y' and y" using product law
y' = -e^(-x)[2cosx - sinx] + e^(-x)[-2sinx - cosx]
y' = -e^(-x)[2cosx - sinx + 2sinx + cosx]
y' = -e^(-x)[3cosx + sinx]
y" = e^(-x)[3cosx + sinx] - e^(-x)[-3sinx + cosx]
y" = e^(-x)[3cosx - cosx + sinx + 3sinx]
y" = e^(-x)[2cosx + 4sinx]
y" + 2y' + 2y
e^(-x)[2cosx + 4sinx] - 2e^(-x)[3cosx + sinx] +2e^(-x)[2cosx - sinx]
e^(-x)[4sinx - 2sinx - 2sinx + 2cosx - 6 cosx + 4cosx]
= e^(-x) × 0
= 0
She made the mistake of grouping unlike terms and factorizing.
Given that
Helene is finding the sum (9 + 10i) + (–8 + 11i).
She rewrites the sum as (–8 + 11)i + (9 + 10)i.
We have to determine
Which statement explains the property of addition that she made an error in using?
According to the question
The mistake she did is in the second term distributing.
(9+10i) is not equal to (9+10)i
Similarly (-8+11i) is not equal to (-8+11)i.
The correct method she should have done is given below;
Grouping real terms together and imaginary terms together and finding the sum is,
Hence, she made the mistake of grouping unlike terms and factorizing.
To know more about Complex Number click the link given below.
brainly.com/question/10078818
<span>The first part is already in squared terms. "19.25 sq ft"
Taking the measurements for the mirror 3ft and 5ft, you'd get: "15 sq ft."
Subtract that answer from the previous number to get "4.25 sq ft.
Hope this helps out a little lol :)</span>
The equation with 15 will be y = 15x.
<h3>What is an equation?</h3>
The equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line. The equation of a line in a general form can be written as below:-
y = mx + c
Where m is the slope and c is the y-intercept. The equation for the constant of proportionality 15 can be written as below:-
y = 15x
Here, y and x are variables and 15 is the constant value and is defined as the slope of the line.
Therefore, the equation with 15 will be y = 15x.
To know more about an equation follow
brainly.com/question/2972832
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