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2 years ago

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

Mathematics

1 answer:

zysi [14]2 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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Geckos and iguanas are both lizards. The length of an average gecko is about three quarters of the length of an average iguana.

andre [41]

20 in. Because if you divide it by three then multiply it by four you get your answer.

4 0

2 years ago

Read 2 more answers

The price of a certain painting increased by 20% during the first year and decreased by 15% during the second year. The price of

Rina8888 [55]

Answer:

A.102%

Step-by-step explanation:

Let cost price of painting=$100

In first year price increased 20%

Then , the price= $100+100(0.20)=$ $120

In second year

Price decreased 15%

Then , the price of painting= $120-120(0.15)$

The price of painting=$102

Percent = $\frac{final\;price}{Initial\;price}\times 100$

By using this formula

Then, we get

Percent of the original price= $\frac{102}{100}\times 100$

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Option A is true.

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2 years ago

Of all the visitors to a museum on Saturday, 18% were kids younger than 11 years old. In lowest terms, write the fraction of vis

Aleksandr-060686 [28]

<h3>Answer: 9/50</h3>

Explanation:

Any percentage converts to that number over 100.

So 18% would convert to 18/100

We then reduce the fraction by dividing each part by the GCF 2

18/2 = 9

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The fraction 18/100 fully reduces to 9/50

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2 years ago

The sum of the digits of a two-digit number is 8. The difference between the number and the reversed number is 10 more than the

Vesna [10]

Answer:

The number is 62

Step-by-step explanation:

Let the digits of the number be T and U;

A 2 digit number is represented as: 10T + U

So,

$T + U = 8$

$10T + U - (10U + T) = 10 + 10U + T$

Required

Find the digit

Make U the subject in the first equation

$U = 8 - T$

Substitute 8 - T for U in the second

$10T + U - (10U + T) = 10 + 10U + T$

$10T + 8 - T - (10*(8-T) + T) = 10 + 10(8 - T) + T$

$10T + 8 - T - (80-10T + T) = 10 + 80 - 10T+ T$

$10T + 8 - T -80+10T - T = 10 + 80 - 10T+ T$

Collect Like Terms

$10T + 10T - T- T + 8 -80 = 10 + 80 - 10T+ T$

$18T -72 = 90 - 9T$

$9T + 18T = 90 + 72$

$27T = 162$

$T = 162/27$

$T = 6$

Recall that:

$U = 8 - T$

$U = 8 - 6$

$U = 2$

<em>Hence, the number is 62</em>

5 0

2 years ago

Use a benchmark fraction to compare fractions 7/10 and 5/12

Marta_Voda [28]

They both are close 1/2 and you could cross multiply them

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2 years ago