I think we can all agree that 1 centimeter=10millimeters.
And if x is the side in centimeters then 10x will be the side in millimeters.
We just need to rewrite x^3 into (10x)^3.
Because you need to do the exponent to all part of the ( )...
(10x)^3=1000x^3
V(x)=1000x^3 cubic millimeters is the answer
We're minimizing

subject to

. Using Lagrange multipliers, we have the Lagrangian

with partial derivatives

Set each partial derivative equal to 0:

Subtracting the second equation from the first, we find

Similarly, we can determine that

and

by taking any two of the first three equations. So if

determines a critical point, then

So the smallest value for the sum of squares is

when

.
Answer:
a) The minimum y-value of f(x) is -3
d) The minimum y-value of g(x) is -3
Step-by-step explanation:
Given in the question that,
f(x) = 3
-3
g(x) = 7x² - 3
<h3>A)</h3>
At large negative exponents, the value approaches to zero
y = 
y = 
y = 
<h3>B)</h3>
Minimum y-value of g(x) will be when x = 0
y = 7x² - 3
y = 7(0) - 3
y = -3
100 = 10^2
so 10^9 * 10^2 = 10^11 kilometers in 100 years
Answer:
-10
Step-by-step explanation:
3-13=-10