Answer:
5
-
4
Step-by-step explanation:
Step-by-step explanation:
The derivative of log is

You can easily derive this using the Change of base rule, and natural log rules

Next, we differentiate with respect to x.


So back to the topic at hand,.
a=7, so we get

We plug in 0, we would get undefined
8(3y+11x) Would be your answer my friend
Before we can determine the rectangular coordinate of the point, let's determine first its polar coordinates. For this, we need two things: radius and angle.
For the radius, we see that point R is 4 units away from the center.
For the angle, we see that it is 30° clockwise or 330° counterclockwise. See the illustration below:
Now that we know the radius is 4 units and the angle is 330° counterclockwise, let's now convert this to rectangular coordinates.
Use the formula below:
For x-coordinate, we have:


For the y-coordinate, we have:


Therefore, the rectangular coordinate of the given polar point is (2√3, -2). Option B.