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3 years ago

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Which number satisfies the inequality 12n < 3n+28A) 3B) 4 C) 5D) 6

1 answer:

DiKsa [7]3 years ago

3 0

Your answer would be (A)

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Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.) (tan(x) −

never [62]

Answer:

$f(x,y)=ln secx+cosx siny+C$

Step-by-step explanation:

We are given that DE

$(tanx-sinx siny)dx+cosxcosydy=0$

We have to determine given DE is exact or not.

Compare it with Mdx+Ndy=0

$M=tanx-sinx siny$

$N=cosxcosy$

$\frac{\partial M}{\partial y}=$ $M_y=-sinxcosy$

$\frac{\partial N}{\partial x}=N_x=-sinxcosy$

Therefore, $M_y=N_x$

If DE is exact then $M_y=N_x$

Hence,it is exact.

$M=\frac{\partial f}{\partial x}=tanx-sinxsiny$

Integrate w.r.t x on both sides

$f(x,y)=\int(tanx-sinxsiny)dx$

$f(x,y)=lnsecx+cosxsiny+\phi(y)$ ...(1)

By using the formula

$\int tanxdx=lnsecx+C,\int sinxdx=-cosx+C$

Differentiate partially equation (1) w.r.t y

$\frac{\partial f}{\partial y}=cosxcosy+\phi'(y)$

By using the formula:

$\frac{d(sinx)}{dx}=cosx$

$N=\frac{\partial f}{\partial y}=cosxcosy=cosxcosy+\phi'(y)$

$\phi'(y)=cosxcosy-cosxcosy=0$

$\phi'(y)=0$

Integrate w.r.t y

$\phi(y)=C$

Substitute the value

$f(x,y)=ln secx+cosx siny+C$

7 0

3 years ago

You are booking a flight from new york to Atlanta there is no change in the time zones the flight leaves new York at 11:15a.M an

mrs_skeptik [129]

Answer:

2 hours and 30 minutes

Step-by-step explanation:

Want a little trick to solve problems like these? Use military time

1:45 = 13:45

1345-11:15 = 2:30

4 0

3 years ago

A department store is having as special sale. On monday, the regular price of a dress is marked down by 25%. On Tuesday, the dre

atroni [7]

Answer:

50.625

Step-by-step explanation:

8 0

3 years ago

X+2y =3 -x+y=6 elimination

Neko [114]

You can try using the formula y=mx+b

8 0

3 years ago

Read 2 more answers

The graph of y = f(x) is shown.<br><br> a) Find f(0)<br><br> b) Give the roots of f(x) = 0

tresset_1 [31]

7 because if you multiply f by x you get 7

5 0

3 years ago