Answer:
\int\limits^{\pi/2} _0 (1+4cos^{2} (2x)dx
Step-by-step explanation:
Arc length is calculated by dividing the arcs in to small segments ds
By pythagoren theorem

then integrate ds to get arc length.
We are given a function as
y = sin 2x in the interval [0, pi/2]
To find arc length in the interval
Arc length 
Hence arc length would be
B)
Answer:
The volume is 1436.8
.
Step-by-step explanation:
-To find the volume of a sphere, you need the formula:

-Use the radius for the formula:

-Then, you solve:

×
× 
× 

-Round the answer to the nearest tenth:

So, therefore the volume is 1436.8
.
Answer: y=-5/4x+7
Step-by-step explanation: You can see, by looking at the graph, that the slope will be negative, so you can eliminate the options with a positive slope. You can take the first point (0,7) and the second point (4,2) and calculate the slope (the change in y divided by the change in x). 7-2 is five, so that gives us our numerator of the slope. 0-4 is -4, so that gives us our denominator. That gives us a slope of -5/4, so the only answer with that slope is the third option, y=-5/4+7. I hope this helps!