a waiter earns 8.75 per hour and works 36 hours per week and works 5 days per week. if he makes an average of $80 per shift in t
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Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given as:
y = mx + b; where m is the slope of the line and b is the y intercept (that is value of y at x = 0).
a) From the graph, we can see that the straight line touches the y axis at $100 in which the temperature is 0 degrees. Therefore the y intercept is:
(0, 100)
b) The slope of the line can be gotten by taking two points that the line passes through. Using the points (0, 100) and (12, 500):
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,
