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3 years ago

Can somone pls help me? 3/5 of 65? And 2/3 of 210 and 2/7 of 42

Mathematics

1 answer:

marin [14]3 years ago

3 0

Answer:

3/5 of 60 is 36

2/3 of 210 is 140

2/7 of 42 is 12

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Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx

shutvik [7]

$\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)$

Let $v=x+y$ , so that $\dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}$ :

$\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1$

Now the ODE is separable, and we have

$\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx$

Integrating both sides gives

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx$

For the integral on the left, rewrite the integrand as

$\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v$

Then

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C$

and so

$\csc v-\cot v=x+C$

$\csc(x+y)-\cot(x+y)=x+C$

Given that $y(0)=\dfrac\pi2$ , we find

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so that the particular solution to this IVP is

$\csc(x+y)-\cot(x+y)=x+1$

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3 years ago

What is the complete factorization of 3x2 + 22x − 16?

EleoNora [17]

Answer:

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Step-by-step explanation:

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3 years ago

You are analyzing the survey results tabulated below. The first survey question (yes/no) is whether the respondent is over 40, a

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4 years ago

Select three ratios that are equivalent to 5:2.

timofeeve [1]

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3 years ago

Find the measurement of both complementary angles, if the measurement of the first one is 40° less than the measurement of the o

netineya [11]

90 - 40 = 50

Complementary angles add up to 90 degrees.

If one angle is 40 degrees less than the other, you just put it into an equation where 40 is subtracted from 90.

The answer would then be 50 degrees.

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3 years ago