Answer:
ANSWER:
The period of the sinusoidal function is 2π.
Step-by-step explanation:
EXPLANATION:
The sinusoidal function is a periodic function.It goes one unit up and one unit down with an amplitude of one and it repeats itself after this time interval.So,the period of the sine function is 2π
A sine or sinusoidal loop is a perpetual swing. It is called after the role sine. It happens frequently in tentative and practiced math, science, physics, engineering, signal processing, and other disciplines. Its utmost fundamental pattern as a role of time (t).
Answer:
4.41/ 3 = 1.47 each
Step-by-step explanation:
Answer:
y+9=1/5(x+3)
Step-by-step explanation:
Point slope formula: y-y1=m(x-x1)
slope=m
m=1/5
-3=x1 -9=y1
y-(-9) =1/5(x-(-3))
simplify...
y+9=1/5(x+3)
hope this helps!! :)
The minimum distance is the perpendicular distance. So establish the distance from the origin to the line using the distance formula.
The distance here is: <span><span>d2</span>=(x−0<span>)^2</span>+(y−0<span>)^2
</span> =<span>x^2</span>+<span>y^2
</span></span>
To minimize this function d^2 subject to the constraint, <span>2x+y−10=0
</span>If we substitute, the y-values the distance function can take will be related to the x-values by the line:<span>y=10−2x
</span>You can substitute this in for y in the distance function and take the derivative:
<span>d=sqrt [<span><span><span>x2</span>+(10−2x<span>)^2]
</span></span></span></span>
d′=1/2 (5x2−40x+100)^(−1/2) (10x−40)<span>
</span>Setting the derivative to zero to find optimal x,
<span><span>d′</span>=0→10x−40=0→x=4
</span>
This will be the x-value on the line such that the distance between the origin and line will be EITHER a maximum or minimum (technically, it should be checked afterward).
For x = 4, the corresponding y-value is found from the equation of the line (since we need the corresponding y-value on the line for this x-value).
Then y = 10 - 2(4) = 2.
So the point, P, is (4,2).
