Answer:


Step-by-step explanation:
<u>Linearization</u>
It consists of finding an approximately linear function that behaves as close as possible to the original function near a specific point.
Let y=f(x) a real function and (a,f(a)) the point near which we want to find a linear approximation of f. If f'(x) exists in x=a, then the equation for the linearization of f is

Let's find the linearization for the function

at (0,5) and (75,10)
Computing f'(x)

At x=0:

We find f(0)

Thus the linearization is


Now at x=75:

We find f(75)

Thus the linearization is


Answer:
6.5%
Step-by-step explanation:
All i did was subtract 65 from the 75 which gave me 10 and I divided that by the original cost which was 65. That gave me 6.5%. Another possible answer is 0.1538461538461538. I just tried my best.
Answer:
Step-by-step explanation:
We have to simplify this equation.
<u>Like this:</u>
<u>The closest number to x is 19:</u>
<u>Solve:</u>
- 2 * 19 + 8 = 46
- = 38 + 8 = 46
- = 46.
x = 19.
If you look at a unit circle (or you have one memorized, which I would strongly suggest) (√2/2,√2/2) is located at the radian value

, which is 45 degrees
Answer:
Step-by-step explanation:
The water district has been charging its customers a flat rate of $3.25 per HCF. If a family uses an average of 56 HCF per month, the total charge would be
3.25 × 56 = $182
Because of a drought emergency, it is instituting a block rate of $3.60 for the first 20 HCF and $4.85 for the next 40 HCF. If a family uses an average of 56 HCF per month, the total charge would be
(3.6 × 20) + 4.85(56 - 20)
= 72 + 174.6
= $246.6
The increase in the charge is
246.6 - 182 = $64.6
The percent by which their average bill increased under the block system is
64.6/182 × 100 = 35.5%