Answer:
square units.
Step-by-step explanation:
We have to use limits to find the area of the region bounded by the graph 
, the x-axis, and the vertical lines x=0 and x=1.
So, the area will be
A = 
= ![[4x - \frac{x^{4}}{2} ]^{1} _{0}](https://tex.z-dn.net/?f=%5B4x%20-%20%5Cfrac%7Bx%5E%7B4%7D%7D%7B2%7D%20%5D%5E%7B1%7D%20_%7B0%7D)
= 
= square units. (Answer)
Answer:
-4.4c +1.1
Step-by-step explanation:
-5.8c + 1.4c = -4.4c
4.2 + (-3.1) = 1.1
-4.4c + 1.1
Answer:
y = (3/4)x + 2
Step-by-step explanation:
Slope-intercept form is y=mx+b where (x, y) is a point on the linear graph, m is the slope (rise/run), and b is the y-intercept (the y-value at which the graph passes through the y-axis).
Looking at the graph, we can see that the point at which the line crosses the y-axis is (0, 2) which makes it the y-intercept. Thus, the b in the slope-intercept form is 2.
Next, we are looking for the slope of the line. To do this, we can calculate the rise/run of the line by choosing to points on it. Since we already have the point (0, 2), we just need one more.
For example, the point (-4, -1) can be used. The slope can be found by ((y-y)/(x-x)) in which the first y and x values correspond with the first point and that of the second correspond with the second set. So in this case, m = (2-(-1))/(0-(-4)) = 3/4
Plugging in the calculated m and b value in the slope intercept equation, we get y = (3/4)x + 2
Answer:
V=75pi ft^3 or 235.619 ft^3
Step-by-step explanation:
area of base times length
area of circle = pi * r^2 where r = 1/2 * diameter
A = pi * 2.5^2
A= 6.25pi ft^2
multiply by length
V= 6.25pi*12
V=75 pi
