If <em>x</em>² + <em>y</em>² = 1, then <em>y</em> = ±√(1 - <em>x</em>²).
Let <em>f(x)</em> = |<em>x</em>| + |±√(1 - <em>x</em>²)| = |<em>x</em>| + √(1 - <em>x</em>²).
If <em>x</em> < 0, we have |<em>x</em>| = -<em>x</em> ; otherwise, if <em>x</em> ≥ 0, then |<em>x</em>| = <em>x</em>.
• Case 1: suppose <em>x</em> < 0. Then
<em>f(x)</em> = -<em>x</em> + √(1 - <em>x</em>²)
<em>f'(x)</em> = -1 - <em>x</em>/√(1 - <em>x</em>²) = 0 → <em>x</em> = -1/√2 → <em>y</em> = ±1/√2
• Case 2: suppose <em>x</em> ≥ 0. Then
<em>f(x)</em> = <em>x</em> + √(1 - <em>x</em>²)
<em>f'(x)</em> = 1 - <em>x</em>/√(1 - <em>x</em>²) = 0 → <em>x</em> = 1/√2 → <em>y</em> = ±1/√2
In either case, |<em>x</em>| = |<em>y</em>| = 1/√2, so the maximum value of their sum is 2/√2 = √2.
Answer:v=4
v=16
v=4/3
v=64/3
Step-by-step explanation: i just did the assignment.
Answer:
-1/18
Step-by-step explanation:
Let's multiply left and right by 3n:
2 = -12 * 3n =>
-36n = 2
now divide by -36:
n = 2/-36 = -1/18
Answer:
C
Step-by-step explanation:
noting that 
= i
Given
= 
= 
× × 
= 4i → C
Answer:
a) The GCF of 63 and 36 is 9
b)
Explanation:
a) To find the GCF of 63 and 36, we do the following:
Write 63 and 36 as follows:
The common factors are:
Therefore, the Greatest Common Factor (GCF) is 9
b) To find the factor 63 - 36
