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:
y =8
Step-by-step explanation:
5/8x? =2 1/2
And
5/8 - 2 1/2 =?
The answer would be those 2 can you plz park this a bran list
Answer:
12
Step-by-step explanation:
8.x-13=3+4.x
8.x-13=7.x
x-13+8=7.x
x-5=7.x
x-x=7+5
x-x=12
x=12
Answer:
h = a + b * t, this equation gives you the height of the candle after t hours, where:
h = height of the candle
t = hours of burning
a = the y intercept
b = the slope
Step-by-step explanation:
In your problem says that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. This means that the independent variable is t (hours of burning) and the dependent variable is h (height of the candle).
A linear function has the following form:
y = f(x) = a + bx
a is the constant term or the y intercept. It is the value of the dependent variable when x = 0.
b is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.
NOTE:
In order to find numerical values you need at least two points in order to find the slope (t1,h1), (t2,h2), with this equation:
b = 
Next you find a when x = 0, y = a, where y is one of the points that you want to evaluate.
With these values you put them in this equation h = a + b * t and that's it! You will find the height of the candle after t hours.
