Answer:
1
Explanation:
According to the Unit Circle, sin π\6 is ½, so we plug this into the cosine function to get this:
cos π\6 - π\6 → cos 0 >> 1
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*** Plus, we need to make sure that the x-value falls in between 0 and π\2, which it did, so no need to worry.
11.5 x 2= 23 and 18 plus 5 = 23 so the answer would be 11.5
Hope this helps ;)
For the table, we can count the circles that appear in each step of the fractal. The center is a single circle and is step 0. Step 1 sees 4 circles grow off of that one circle. Step 2 sees 4 circles grow off of each of these circles. Therefore the table should be:
Step 0 : 1 circle
Step 1 : 4 circles
Step 2 : 16 circles
Step 3: 64 circles
Using this table, we can solve the second part. This function is exponential growth and each step is a multiple of 4. Therefore, the function is

.
Answer:
The final integration in the given limits will be 89.876
Answer:
Slope = -8.000/2.000 = -4.000
x-intercept = -31/4 = -7.75000
y-intercept = -31/1 = -31.00000
Step-by-step explanation:
1: Graph of a Straight Line
2: Calculate the Y-Intercept
3: Calculate the X-Intercept
4: Calculate the Slope
5: Geometric figure: Straight Line
Answer: Slope = -8.000/2.000 = -4.000
Hope this helps.