Represent any point on the curve by (x, 1-x^2). The distance between (0, 0) and (x, 1-x^2) is

To make this easier, let's minimize the SQUARE of this quantity because when the square root is minimal, its square will be minimal.
So minimize

Find the derivative of L and set it equal to zero.

This gives you

or

You can use the Second Derivative Test to figure out which value(s) produce the MINIMUM distance.

When x = 0, the second derivative is negative, indicating a relative maximum. When

, the second derivative is positive, indicating a relative MINIMUM.
The two points on the curve closest to the origin are
Answer:
Step-by-step explanation:
1. 64
2. yes because both angles are exactly the same
The equation is
.
1/2 is equivalent to 4/8, and 2 1/8 is equal to 17/8. (two full sets of 8 + 1 = 8 + 8 + 1, or 17)
The new equation is
. Subtract the numerators.
17 - 4 = 13 or 13/8
The improper fraction
simplifies to
.
<h2>Answer:</h2>

Hope this helps :)
Okay so 6.5% of $14.95 is 0.97175. That rounds to 0.97. And to get the total we just add 0.97 to 14.95. Our answer is 15.92. However if you don't want to round then you would add 14.95 and 0.97175 . This would give you15.92175. Hope this helps!
Answer:
There are 8 boys in the chorus and 16 girls in the chorus
The graph in the attached figure
Step-by-step explanation:
Let
x----> the number of boys
y----> the number of girls
we know that
-----> equation A
----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (8,16)
see the attached figure
therefore
There are 8 boys in the chorus
There are 16 girls in the chorus