Answer:
Intercepts:
x = 0, y = 0
x = 1.77, y = 0
x = 2.51, y = 0
Critical points:
x = 1.25, y = 4
x = 2.17
, y = -4
x = 2.8, y = 4
Inflection points:
x = 0.81, y = 2.44
x = 1.81, y = -0.54
x = 2.52, y = 0.27
Step-by-step explanation:
We can find the intercept by setting f(x) = 0
where n = 0, 1, 2,3, 4, 5,...
Since we are restricting x between 0 and 3 we can stop at n = 2
So the function f(x) intercepts at y = 0 and x:
x = 0
x = 1.77
x = 2.51
The critical points occur at the first derivative = 0
or
where n = 0, 1, 2, 3
Since we are restricting x between 0 and 3 we can stop at n = 2
So our critical points are at
x = 1.25, 
x = 2.17
, 
x = 2.8, 
For the inflection point, we can take the 2nd derivative and set it to 0
We can solve this numerically to get the inflection points are at
x = 0.81, 
x = 1.81, 
x = 2.52, 
Answer:
it is diff because o the parentheses
Step-by-step explanation:
Answer:
61%
Step-by-step explanation:
We can see that out of all the people that were surveyed, 54% were 10th graders. Since 33% out of all the ones surveyed were 10th graders that chose robotics, the fraction would be 33/54 which is 0.611.
This is 61% approx.
The vehicle traveling 60 mph is going 4 times as fast. the brakes must do an amount of work that's equal to the original kinetic energy. the brakes exert the same amount of force no matter what the case is, so the stopping distance will be four times as long for the car going 60 mph compared to the car going 30 mph.
In the comment of the other answer, you said that the rectangle is 24 x 18 ft.
First, we have to find out how many square feet that is, and then we can convert it to square yards.
The area of a rectangle is the length multiplied by the width.
A = l x w
A = 24 x 18
A = 432 square feet
To find out how many square yards that is, we divide it by 3, because 1 yard is 3 feet.
432 ÷ 3 = 144
The area of a 24x18ft rectangle is 144 square yards.
