The sum of the measures of angles x and y is 120°. The measure of the angle x is 12 less than the measure of the angle y.
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Answer:
The first three nonzero terms in the Maclaurin series is
Step-by-step explanation:
GIven that:
The Maclaurin series of cos x can be expressed as :
From equation(1), substituting x with (4x), Then:
The first three terms of cos (4x) is:
Multiplying equation (2) with (3); we have :
Finally , multiplying 5 with ; we have:
The first three nonzero terms in the Maclaurin series is
Problem
Solution
For this case we know that the vertex is given by (3,6) and the genera equation for a parabola is given by:
y= a(x-h)^2 +k
Where h = 3, k=6 and replacing we have:
y= a(x-3)^2 +6
And we can find the value of a with the point given x= 4, y=4
4= a(4-3)^2 +6
4= a +6
a= 4-6=-2
And the correct equation would be:
d. y= -2(x-3)^2 +6
