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dybincka [34]
3 years ago
12

Determine if the following series converges or diverges. Show steps!

Mathematics
1 answer:
MAXImum [283]3 years ago
3 0
Converges by p series test
top section is almost constant, can never be larger than 3
so, compare degrees of their exponents, in this case it’s at a maximum of 3/1000n^2. the same as saying (3/1000)*summation of p series.
converges absolutely.
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<h3>Answer:</h3><h3>Two possible smallest and largest angles are 11.78° and 78.22°.</h3>

Step-by-step explanation:

Minigolf ball will follow a trajectory to get into the hole.

Since range of a trajectory is calculated by the formula,

R=\frac{u^{2}sin2\theta}{g}

Where u = initial speed of the ball

θ = angle between the hole and direction in which the ball has been projected

g = gravitational pull

Now we plug in the values in the formula,

2=\frac{7^{2}sin(2\theta)}{9.8}

sin2θ = \frac{2\times 9.8}{49}

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Hence two possible smallest and largest angles are 11.78° and 78.22°.

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Question 5
geniusboy [140]

Answer:

\frac{4}{9}

Step-by-step explanation:

To find this probability, we have to know:

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We simply divide the first answer by the second one and get our probability.

So, the numbers are 5,6,7,8 ----- that is 4 numbers

How many numbers are there in total?  That is:

0, 1, 2, 3, 4, 5, 6, 7, 8, or 9  ------- 9 numbers

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─── ∙ ~εïз~ ∙ ───
answer: 16

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3 0
3 years ago
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