Answer:
Step-by-step explanation:
Y = x² - 2x + 5
x = -2
y = -2² -2(-2) + 5
y = 4 + 4 + 5 = 13
x = -1
y = -1² -2(-1) + 5
y = 1 + 2 + 5 = 8
x = 1
y = 1² -2(1) + 5
y = 1 - 2 + 5 = 4
x = 3
y = 3² -2(3) + 5
y = 9 - 6 + 5 = 8
x = 6
y = 6² -2(6) + 5
y = 36 - 12 + 5 = 29
Answer:
$2160
Step-by-step explanation:
=PRN
6000×0.12×3
Ok, here we go. Pay attention. The formula for the arc length is

. That means that to use that formula we have to find the derivative of the function and square it. Our function is y = 4x-5, so y'=4. Our formula now, filled in accordingly, is

(that 1 is supposed to be negative; not sure if it is til I post the final answer). After the simplification we have the integral from -1 to 2 of

. Integrating that we have

from -1 to 2.

gives us

. Now we need to do the distance formula with this. But we need 2 coordinates for that. Our bounds are x=-1 and x=2. We will fill those x values in to the function and solve for y. When x = -1, y=4(-1)-5 and y = -9. So the point is (-1, -9). Doing the same with x = 2, y=4(2)-5 and y = 3. So the point is (2, 3). Use those in the distance formula accordingly:

which simplifies to

. The square root of 153 can be simplified into the square root of 9*17. Pulling out the perfect square of 9 as a 3 leaves us with

. And there you go!
19.164 can be rounded to 19.2. That is because 0.164 is closer to 0.2 than it is to 0.1
9.53 rounded the the nearest tenth is 9.5 because 0.53 is closer to 0.5 than it is to 0.6.
19.2 - 9.5 = 9.7
Your answer is 9.7