Answer:
See Below.
Step-by-step explanation:
We have the equation:

And we want to show that:

Instead of differentiating directly, we can first square both sides:

We can find the first derivative through implicit differentiation:

Hence:

And we can find the second derivative by using the quotient rule:

Substitute:

Simplify:

Combine fractions:

Simplify:

Simplify:

Q.E.D.
Answer:
25x^2 - 16y^2 - 400 = 0
Step-by-step explanation:
Let x be one number and y be the other.
#1 - Set up a system of equations.
4x = y
x + y = 45
#2 - Solve the system by substitution.
x + (4x) = 45
5x = 45
x = 9
(9) + y = 45
y = 36
Answer:
The answer is 20.0855
Step-by-step explanation:
<u>Ca</u><u>l</u><u>c</u><u>ulate the approximate </u><u>value</u>
e³ = 20.0855
Hope this helps you