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Elden [556K]
3 years ago
14

Mr. Morgan gives 1 quarter 3 nickels 4 pennies and one $1 to clerk. How much money does Mr. Morgan give the clerk

Mathematics
1 answer:
Goryan [66]3 years ago
3 0
A quarter is worth, 25 cents.
3 Nickels is worth 15 cents.
And 4, pennies is worth 4 cents.
The dollar bill is worth 1.00.
So, you combine the amount which gets you
1.44.

Morgan gave the clerk 1.44$.
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K=4
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1 year ago
Which of the following is an improper integral?
guapka [62]

Answer:

A)  \displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx

General Formulas and Concepts:

<u>Calculus</u>

Discontinuities

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  • Infinite (Asymptote)

Integration

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Step-by-step explanation:

Let's define our answer choices:

A)  \displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx

B)  \displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx

C)  \displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx

D) None of these

We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.

Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.

∴ our answer is A.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Integration

Book: College Calculus 10e

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J is the correct answer

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good luck
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