Answer:
D. Angle P, Angle OPQ, Angle QPO
Step-by-step explanation:
The angle is at P so P must be either between the two other letters or be by itself so D is the correct answer.
Answer:
L = 4.103
Step-by-step explanation:
we have length of curve
![L = \int\limits^b_a {\sqrt{(f'(x))²+1} } \, dx](https://tex.z-dn.net/?f=%20L%20%3D%20%5Cint%5Climits%5Eb_a%20%7B%5Csqrt%7B%28f%27%28x%29%29%C2%B2%2B1%7D%20%7D%20%5C%2C%20dx%20)
where ![f(x) = d/dx(3*in(x)) = 3/x](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20d%2Fdx%283%2Ain%28x%29%29%20%3D%203%2Fx%20)
substituting for f(x), we have ![L = \int\limits^5_2 {\sqrt{(3/x)²+1} } \, dx](https://tex.z-dn.net/?f=%20L%20%3D%20%5Cint%5Climits%5E5_2%20%7B%5Csqrt%7B%283%2Fx%29%C2%B2%2B1%7D%20%7D%20%5C%2C%20dx%20)
(since the limit is 2≤ x ≤5)
solving, ![L = \int\limits^5_2 {\sqrt{9/x²+1} } \, dx](https://tex.z-dn.net/?f=%20L%20%3D%20%5Cint%5Climits%5E5_2%20%7B%5Csqrt%7B9%2Fx%C2%B2%2B1%7D%20%7D%20%5C%2C%20dx%20)
Simplifying this integral, we have
L = 4.10321
Answer:
35
Step-by-step explanation:
Answer: Four-thirdsπ(6)³
Step-by-step explanation: The formula for the volume of a sphere is attached in the image down below.
Notice that two of the options listed have <em>three-fourths</em> but we use <em>four-thirds </em>to find the volume of a sphere. This means that we can eliminate the 1st and the 3rd option.
Now, we will multiply that by π and then by the radius cubed which is also written as 6³. This means that our answer would be the second option.
Answer:
the explicit rule is the difference, which is -5.
Step-by-step explanation: