Answer:
a) maximum of 2.4 at x=-2
b) minimum of -0.3 at x=1
Step-by-step explanation:
A cubic function that is not monotonic will have one maximum and one minimum. If the leading coefficient is positive (as here), the maximum will have an x-coordinate that is less than that of the minimum.
The graph shows the extrema you're looking for.
First, compute the mean:
Next compute the absolute deviations for each datapoint:
|75-95.555|=20.555
|89-95.555|=6.555
|145-95.555|=49.445
|85-95.555|=10.555
|80-95.555|=15.555
|92-95.555|=3.555
|104-95.555|=8.445
|90-95.555|=5.555
|100-95.555|=4.445
Next we'll take the mean of these deviations:
The mean absolute deviation of your data is 13.8517
V=(4/3)pir^2
c=2pir
12=2pir
divide 2
6=pir
divide by pi
6/pi=r
sub for r
V=(4/3)pi(6/pi)^2
V=(4/3)pi(36/(pi^2))
V=(4/3)(36/pi)
V=144/(3pi)
V=48/pi
aprox pi=3.141592
V=15.2788777155
V=15.28 in^3
Answer:
The third one, (x+5)^2 + (y+7)^2 = 74
Step-by-step explanation:
The equation for a circle is in the form (x-x coordinate)^2 + ( y - y coordinate )^2 = r^2
the radius is 5^2 + 7^2 = 25 + 49 = 74
and the center is (-5,-7), so it is + 5 and + 7
Answer:
<h2>
y = 7/2 x + 5/2</h2>
Step-by-step explanation:
The equation of a line is expressed as y = mx+c where m is the slope and c is the intercept.
m = Δy/Δx = y₂-y₁/x₂-x₁
Given two points (-1, -4) and (1, 6) with x₁= -1, x₂ = 1, y₁ = -4 and y₂ = 6
m = 6-(-1)/1-(-1)
m = 7/2
To get c, we will substoute the slope and any of the point given into the equation of a line as shown;
Using tyhe point (1, 6) and m = 7/2
6 = 7/2(1)+c
6 = 7/2 + c
c = 6-7/2
c = 5/2
The equation of the line will be y = 7/2 x + 5/2
