SOLVE. y''+3y'+2y=4e^x
1 answer:
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The solutions to the system of equations are (-2,-6) and (4,6)
<h3>How to determine the system of equations?</h3>We have:
-2x + y = -2
Next, we plot the graph of both functions.
From the attached graph, the equations intersect at (-2,-6) and (4,6)
Hence, the solutions to the system of equations are (-2,-6) and (4,6)
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Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.
Solution :
Let the two consecutive positive odd numbers be x and (x + 2)
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When,
the coordinates of the points of intersection of the graph of y=13−x with the axes
Given equation is y=13-x
x axis is x=0
y axis is y=0
Plug in the value of x =0 and find out y
y = 13 - x
y = 13 - 0 = 13
Plug in the value of y=0 and find out x
0 = 13 - x
x= 13
So coordinate axis
x= (13,0)
y= (0,13)
Base of the triangle is x=13
Height of the triangle is y= 13
Area of the triangle =
= = 84.5
Area of the triangle = 84.5