First solve x³=9x
We can ignore x = -3 because it is not in the first quadrant.
<span>So our integral is going to go from x=0 to x=3.
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<span>Now we can use the formula
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![\int\limits_{0}^{3}(\pi (9x)^2-\pi(x^3)^2)dx \\\int\limits_{0}^{3}(\pi (9x)^2-\pi(x^3)^2)dx \\\pi\int\limits_{0}^{3}(81x^2-x^6)dx \\2\times \int\limits_{0}^{3}[\pi(9x)^2-\pi(x^3)^2]dx \\\pi\left[81\frac{x^3}{3}-\frac{x^7}{7}\right]_{0}^{3} \\ \\\frac{2916\pi}{7}](https://tex.z-dn.net/?f=%5Cint%5Climits_%7B0%7D%5E%7B3%7D%28%5Cpi%20%289x%29%5E2-%5Cpi%28x%5E3%29%5E2%29dx%0A%5C%5C%5Cint%5Climits_%7B0%7D%5E%7B3%7D%28%5Cpi%20%289x%29%5E2-%5Cpi%28x%5E3%29%5E2%29dx%0A%5C%5C%5Cpi%5Cint%5Climits_%7B0%7D%5E%7B3%7D%2881x%5E2-x%5E6%29dx%0A%5C%5C2%5Ctimes%20%5Cint%5Climits_%7B0%7D%5E%7B3%7D%5B%5Cpi%289x%29%5E2-%5Cpi%28x%5E3%29%5E2%5Ddx%0A%5C%5C%5Cpi%5Cleft%5B81%5Cfrac%7Bx%5E3%7D%7B3%7D-%5Cfrac%7Bx%5E7%7D%7B7%7D%5Cright%5D_%7B0%7D%5E%7B3%7D%20%5C%5C%20%5C%5C%5Cfrac%7B2916%5Cpi%7D%7B7%7D)
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I think these are the most important ones.
<span>- How much can I afford to spend each month?
- What are the advantages and disadvantages of buying and leasing?
- How much of my savings will I have to use if I lease or buy?
- How much should I budget for gas, insurance, and repairs?
Hope this helps :)
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Answer: 64 ounces = 4 pounds
Step-by-step explanation:
Answer:
x = -8
Step-by-step explanation:
to solve this kind of problem is very simple , just be very careful about the negative and positive signs.
-7+2x = -6x -71
we will collect the like terms or simply say that you will combine the like terms
we have,
-7 + 2x + 6x = -71
2x + 6x = -71 + 7
8x = -64
divide both sides by 8
8x/8 = -64/8
x = -8
Answer:
firat is 27 second is 15
Step-by-step explanation:
15 multiplied by 2 is 30-3 is 27 and 27+15=42
