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:
194 cents is the correct answer
Step-by-step explanation:
6.99 dollars is 41.94
Answer:
He switched the divisor and the dividend when creating an equation to model the problem in step 1.
Step-by-step explanation:
got it right on edgenity quiz
Answer:
Option B. It represents a nonlinear function because its points are not on a straight line.
Step-by-step explanation:
Let
we know that
If point A,B and C are on a straight line
then
The slope of AB must be equal to the slope of AC
The formula to calculate the slope between two points is equal to
<em>Find the slope AB</em>
substitute in the formula
<em>Find the slope AC</em>
substitute in the formula
so
Points A, B and C are not on a straight line
therefore
It represents a nonlinear function because its points are not on a straight line
Answer:
A: (-9,-3)(-2,-4)(-5,-8)
B: (-5,2)(-1,-3)(3,2)
C: (4,-7)(-1,-3)(4,1)
D: (-1,-11)(-2,-4)(-6,-7)
Step-by-step explanation:
So of the transformations, translations are pretty much the easiest. x-1 just means move all coordinates left 1 and y-3 means move all coordinates down 3. So for the first one the x coordinate gets 1 subtracted from it and the y value gets 3 subtracted from it.
(-8,0) => (-8-1, 0-3) = (-9,-3)
I do recommend double checking though, for practice and in case I flubbed a calculation.
