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3 years ago

What are all solutions to the differential equation dy/dx=sec^2*x ?

Mathematics

1 answer:

zysi [14]3 years ago

4 0

Answer:

y=tanx+C

Step-by-step explanation:

$\frac{dy}{dx} = {sec}^{2} \: x \\ \\ dy = {sec}^{2} \: x \: dx \\ integrating \: both \: sides \\ \\ \int \:1\: dy = \int {sec}^{2} \: x \: dx \\ \\ \huge \red{ \boxed{ \therefore \: y = tan \: x + c}} \\$

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A woman bought a dress at a discount of 16 2/3%. If the woman paid $32.50, what was the original price of the dress?

Anastaziya [24]

Let's let x equal the original price of the dress.

We know that 16.6666% is equal to 0.16666 in decimal form by dividing the percent by 100.

So we can set up the equation:

$x-0.16666x=32.50$

because we know the discount, and we know that the discount of the original price was subtracted from the original price.

So then let's simplify by taking out x, the common factor:

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$\frac{x(0.83333)}{0.83333} =\frac{32.50}{0.83333}$

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So now we know that the original price of the dress was $39.

3 0

3 years ago

The blanket is 2.25 meters long and 1.8 meters wide.What is the area of the blanket?Write the answer in centimeters

liraira [26]

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3 years ago

According to this author, the stories about Nancy Hart . As a result, they are to the study of Georgia’s past.

Archy [21]

Answer:

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✔ likely have some basis in truth

As a result, they are

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Step-by-step explanation:

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