See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,
Answer:
51
Step-by-step explanation:
In 1 minute the copy machine copies = 24
That means
In 60 seconds the copy machine copies = 24
First we need to convert 5 minutes and 30 seconds to seconds
Then
5 minutes and 30 seconds = (5 * 60) + 30
= 300 + 30
= 330 seconds
So
In 330 seconds the copy machine will copy = (24/60) * 330
= 4 * 33
= 132
So in 5 minutes and 30 seconds the copy machine will copy 132 copies.
Answer:
11z/4+3/10
Step-by-step explanation:
Distribute first then combine like terms.
Answer:
The equation would be y = -2x + 1
Step-by-step explanation:
All you have to do is put it in the form y = mx + b where m is the slope and b is the y-intercept (for example, the equation y= 2x + 1 has a slope of 2 and a y-intercept of 1.)
Since you have slope, or m, = -2 and the y-intercept, or b, = 1, the equation would be y = -2x + 1
