Find the angle θ between the vectors. u = cos π 4 i + sin π 4 j v = cos π 2 i + sin π 2 j
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Answer:
Equation of the line: .
Step-by-step explanation:
Let and
denote the coordinates of these two points, respectively.
Calculate the slope of this line:
.
Notice that the slope is zero because the two points have the same -coordinates (
) even though their
-coordinates are distinct (
.)
Equation for this line in point-slope form:
.
.
Rewrite and simplify to obtain the equation of this line in slope-intercept form:
.
The -term was eliminated because the slope was zero.
The equation of the new function is:
Here we have the function:
A vertical compression by a factor of 5 is written as:
Replacing the function f(x) we get:
That is the equation of the new function.
If you want to learn more about compressions:
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