Answer:
Step-by-step explanation:
Use the Washer Method where is the outer radius and is the inner radius.
If we sketch out the graph, we see that intersects points and , which will be our bounds of integration.
Here, our outer radius will be and our inner radius will be .
Thus, we can compute the integral and find the volume:
In conclusion, the volume of the solid of revolution will be about 9.8524 cubic units. See the attached graph for a helpful visual!
Answer:
n = 150
Step-by-step explanation:
If n is the number of T-shirt sell each month, then the revenue function of Sophia's store is r = 21n .......... (1)
and the cost function of her store is C = 16n + 750 ........ (2)
Now, at break-even point, the revenue of a business is equal to its cost.
Therefore, r = C
{From equations (1) and (2)}
⇒ 21n = 16n + 750
⇒ 5n = 750
⇒ n = 150
So, the break-even point of the store will occur when the number of T-shirt production is 150. (Answer)
Answer:
A=24m^2
Step-by-step explanation:
to find the area of this figure you can approach it multiple ways, the simplest way is to split it into two rectangles
respectively one 6m by 3m and another 3m by 2m
find the areas of each rectangle and add them both to get the total area of the figure
(6m*3m)+(3m*2m)=(18+6)m^2=24m^2
Im thinking 10 because 10+40=50 and 10x7=70
See attached photo for answers. let me know if you are doing rounding to a specific decimal.