Answer: A = 58
Step-by-step explanation: The sketched region enclosed by the curves and the approximating rectangle are shown in the attachment.
From the sketches, the area will be integrated with respect to y.
To calculate the integral, first determine the limits, which will be the points where both curves meet.
In respect to y:
Finding limits:
Multiply by 2 to facilitate calculations:
Resolving quadratic equation:
y = 6 and y = -8
Then, integral to calculate area will be with limits -8<y<6:
![A = 24.6 - \frac{6^{3}}{6}-\frac{6^{2}}{2}-[24.(-8) - \frac{(-8)^{3}}{6}-\frac{(-8)^{2}}{2}]](https://tex.z-dn.net/?f=A%20%3D%2024.6%20-%20%5Cfrac%7B6%5E%7B3%7D%7D%7B6%7D-%5Cfrac%7B6%5E%7B2%7D%7D%7B2%7D-%5B24.%28-8%29%20-%20%5Cfrac%7B%28-8%29%5E%7B3%7D%7D%7B6%7D-%5Cfrac%7B%28-8%29%5E%7B2%7D%7D%7B2%7D%5D)
A = 58
<u>The area of the enclosed region is 58 square units.</u>
Answer: Use distributive property
Step-by-step explanation:
The slope of the line, is the one with an variable, in this case x. The other value, 27.52, is the y intercept, which would represent how much money he began with. So the variable 17.63x represents how much he could expect to make per week. We know it is per week because there is only a single x, if there were two x's it would be per 2 weeks, three x's per 3 weeks and so on.
From this we can conclude the answer is B, Aidan can expect to save about $17.63 each week
Answer:
Step-by-step explanation:
Answer:
X1 = 2 Y1 = -5
Step-by-step explanation:
math simple slope
