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gavmur [86]
3 years ago
11

Determine whether the improper integral converges or diverges, and find the value of each that converges.

Mathematics
1 answer:
kiruha [24]3 years ago
3 0

Answer:

Diverges

Step-by-step explanation:

For the improper integral to converge the limit must exist, if the limit does not exist or is infinite the integral diverges;

\int\limits^a_b {(2x+4)/x^2+4x+5} \, dx#

Where a and be is infinity

The solution of this is infinity and therefore the integral diverges because the first expression is undefined because ∞/∞, the second term is 4·∞ which is infinity and infinity added to any number is infinity

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Find the highest common factor (HCF) of 72 and 98.​
Y_Kistochka [10]

<em>Answer:</em>

<em>2</em>

<em>Step-by-step explanation:</em>

<em>The factors of 72: 1, </em><em>2</em><em>, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72</em>

<em>The factors of 98: 1, </em><em>2</em><em>, 7, 14, 49, 98 </em>

<em>Your greatest common factor is 2.</em>

<em>Hope this helps. Have a nice day.</em>

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3 years ago
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antoniya [11.8K]

The similar circles P and Q can be made equal by dilation and translation

  • The horizontal distance between the center of circles P and Q is 11.70 units
  • The scale factor of dilation from circle P to Q is 2.5

<h3>The horizontal distance between their centers?</h3>

From the figure, we have the centers to be:

P = (-5,4)

Q = (6,8)

The distance is then calculated using:

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have:

d = √(6 + 5)^2 + (8 - 4)^2

Evaluate the sum

d = √137

Evaluate the root

d = 11.70

Hence, the horizontal distance between the center of circles P and Q is 11.70 units

<h3>The scale factor of dilation from circle P to Q</h3>

We have their radius to be:

P = 2

Q = 5

Divide the radius of Q by P to determine the scale factor (k)

k = Q/P

k = 5/2

k = 2.5

Hence, the scale factor of dilation from circle P to Q is 2.5

Read more about dilation at:

brainly.com/question/3457976

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In a game for three students, one opens a book and multiplies the numbers of the facing pages. This student states the product,
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1 point
SpyIntel [72]

Answer:

20

Step-by-step explanation:

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The answer to this would be -58
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