Answer:
2, 240
Step-by-step explanation:
In the table, the values should be
Year 1 725
Year 2 579
Year 3 696
Since Year 4 sold 112% of the previous 3 years combined, we add 725+579+696=2000. We can find 112% by writing a proportion.
We solve through cross multiplication of numerator and denominator of the opposite fraction.
Answer:
D.
Step-by-step explanation:
There is a translation 1 point up along the y axis and a compression of 4.
Moving a function up (let's use <em>h</em> for the amount of points up) would change the function as so:
Meanwhile, the compression would modify x in this case. You can eliminate any answers (A. and B.) that have no modification to x, and eliminate C., as a fraction modification would actually widen the graph instead of compress it.
Hope this helps! :]
Answer:
The result of the integral is 81π
Step-by-step explanation:
We can use Stoke's Theorem to evaluate the given integral, thus we can write first the theorem:
Finding the curl of F.
Given we have:
Working with the determinant we get
Working with the partial derivatives
Integrating using Stokes' Theorem
Now that we have the curl we can proceed integrating
where the normal to the circle is just since the normal is perpendicular to it, so we get
Only the z-component will not be 0 after that dot product we get
Since the circle is at z = 3 we can just write
Thus the integral represents the area of a circle, the given circle has a radius r = 3, so its area is
, so we get
Thus the result of the integral is 81π