What is 1000/41? please help me
2 answers:
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Answer:
V = 128π/3 vu
Step-by-step explanation:
we have that: f(x)₁ = √(4 - x²); f(x)₂ = -√(4 - x²)
knowing that the volume of a solid is V=πR²h, where R² (f(x)₁-f(x)₂) and h=dx, then
dV=π(√(4 - x²)+√(4 - x²))²dx; =π(2√(4 - x²))²dx ⇒
dV= 4π(4-x²)dx , Integrating in both sides
∫dv=4π∫(4-x²)dx , we take ∫(4-x²)dx and we solve
4∫dx-∫x²dx = 4x-(x³/3) evaluated -2≤x≤2 or too 2 (0≤x≤2) , also
∫dv=8π∫(4-x²)dx evaluated 0≤x≤2
V=8π(4x-(x³/3)) = 8π(4.2-(2³/3)) = 8π(8-(8/3)) =(8π/3)(24-8) ⇒
V = 128π/3 vu
Answer:
181 penguins on the last day of June.
250th penguin on 7 September.
Step-by-step explanation:
We have been given that in the book 365 Penguins, the family received a new penguin each day. They received their first penguin on January 1st and this pattern continued throughout this non-leap year.
First of all we need to find number of days in January to June.
January has 31 days, February has 28 days (Not a leap year), March has 31 days, April has 30 days, May has 31 days and June has 30 days.
Since penguin family receives 1 penguin each day, so 181 penguins will be in 181 days.
Therefore, the penguin family will have 181 penguins on the last day of June.
Now, we need to find the day, which will be on 250th day.
We already know that 181st day would be 30th June.
We know that July and August each has 31 days, so we will add 62 days to 181 that is .
243rd day would be 31st August.
Now, we will add 7 days to 243 days to get 250th day.
Since next month to August is September, therefore, the family will receive 250th penguin on 7 September.