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ANTONII [103]
3 years ago
8

Use the comparison theorem to determine whether the integral is convergent or divergent integral sin^2x/sqrt(x) from 0 to pi

Mathematics
1 answer:
seraphim [82]3 years ago
8 0
-1\le\sin x\le1\implies0\le\sin^2x\le1\implies0

Does

\displaystyle\int_0^\pi\frac{\mathrm dx}{\sqrt x}

converge?
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Give an example of how you use positive and negative numbers, and explain the meaning of 0 in your example.
EastWind [94]

Answer:

Meanings of the numbers:

Most numbers represent an amount. Positive numbers represent above zero. Zero is the only number that does not represent an amount. It means nothing. When you go lower than nothing, you are in the negative numbers. Negative numbers represent absent values pretty much.

How I would use them in every day life:

I would use positive numbers to represent... maybe something I'm trying to get at a store. Ex: 4 bananas

I would use negative numbers to... maybe look at the temperature. Ex: -16 degrees Fahrenheit. Negative numbers are in temperature all the time.

Hope this helps! (^-^)

6 0
3 years ago
Which table has a constant of proportionality between y and x of 12?
Nikolay [14]

Answer & Step-by-step explanation:

To find if they have a constant of proportionality of 12, use the following:

\frac{y}{x}=12

Divide y by the x value (x,y), and if the remaining equation is true, then that table has a constant of proportionality of 12.*

:Done

*Make sure you check all the values in a table. Sometimes only the first values will have k=12, while the others don't.

**The constant of proportionality is represented by <em>k</em>.

3 0
3 years ago
Read 2 more answers
Help me please I dont understand
Vaselesa [24]

Answer:

42°

Step-by-step explanation:

This is right triangle and sum of 2 angles is 90°:

y+48°=90°

so y= 90°- 48°= 42°

4 0
4 years ago
Find the derivative of f(x) = 7 divided by x at x = 1.
julsineya [31]
I find it best to switch everything exponents when taking derivatives.
F(x) = 7/x
Same as..
F(x) = 7x^-1
Take derivative..
F'(x) = -7x^-2
Plug in x = 1
F'(1) = -7(1)^-2
F'(1) = -7
3 0
3 years ago
Read 2 more answers
How to solve???????????
Soloha48 [4]

Answer:

$70.88

Step-by-step explanation:

To find sales tax, multiply the price by the percentage as a decimal.

$67.50                         67.50(0.05) = $3.38

Since sales tax is 5%, its decimal equivalent is 0.05 and for the price of $67.50 you pay $3.38.

The total amount paid is the price added to the sales tax.

$67.50 + 3.38 = $70.88

Repeat these steps for each price in the sales amount column.

6 0
3 years ago
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