Answer:
See below for proof.
Step-by-step explanation:
<u>Given</u>:

<u>First derivative</u>

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<u>Second derivative</u>
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<u>Proof</u>



![= \left(x+\sqrt{1+x^2}\right)^m\left[m^2-\dfrac{mx}{\sqrt{1+x^2}}+\dfrac{mx}{\sqrt{1+x^2}}-m^2\right]](https://tex.z-dn.net/?f=%3D%20%5Cleft%28x%2B%5Csqrt%7B1%2Bx%5E2%7D%5Cright%29%5Em%5Cleft%5Bm%5E2-%5Cdfrac%7Bmx%7D%7B%5Csqrt%7B1%2Bx%5E2%7D%7D%2B%5Cdfrac%7Bmx%7D%7B%5Csqrt%7B1%2Bx%5E2%7D%7D-m%5E2%5Cright%5D)
![= \left(x+\sqrt{1+x^2}\right)^m\left[0]](https://tex.z-dn.net/?f=%3D%20%5Cleft%28x%2B%5Csqrt%7B1%2Bx%5E2%7D%5Cright%29%5Em%5Cleft%5B0%5D)

Answer:
A (-3, 2.5)
Step-by-step explanation:
Midpoint formula is m=(x1 + x2/2), (y1 + y2/2)
So add the xs: -5 + -1 = -6
And the ys: 1 + 4 = 5
Then divide them by 2
(-3, 2.5)
Answer:
28/53
Step-by-step explanation:
Hey There!
So they want us to find the sine of angle S
well remember is sohcahtoa
S - sine
O - opposite
H - hypotenuse
meaning that

The opposite side of angle S is 28 and the hypotenuse is 53
so 
Diameter of the dartboard as given in the question = 18 inches
Then
Radius of the dartboard will be = 18/2 inches
= 9 inches
We already know that
Circumference of a circle = <span>2π</span>r
We also know that the value of <span>π = 3.14159
Then
Circumference of the dartboard = 2 * 3.14159 * 9 inches
= 56.548 inches
= 56.55 inches
So the radius of the dartboard is 9 inches and the circumference of the dartboard is 56.55 inches. I hope the procedure is absolutely clear to you.
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