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Zepler [3.9K]
3 years ago
13

Help pwease. :( How many negative integers m satisfy the inequality 3/m, <= -2/7

Mathematics
1 answer:
NARA [144]3 years ago
8 0
2 I think :) hope this helps
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Which division problem does the number line below best illustrate?
Neko [114]

Answer:

10 divided by 2 =5

Step-by-step explanation:

As the intervals are of 2.. and they extend all over from 0 to 10.. hence dividing it..

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A playground has a shape of a rectangle, with two semi-circles on it’s smaller sides as diameters added to its outside. If the s
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Area= 1371.72m^2

Perimeter: 251.84m

Step-by-step explanation:

A1=L*W

A1=38*28

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A2=3.14*r^2

A2=3.14*196

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Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
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Complete the sentence. Fourteen is 20% of a0.
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3 years ago
Determine whether the given differential equation is exact. If it is exact, solve it. (tan(x)-sin(x)sin*y))dx+cos(x)cos(y)dy=0 g
Nataly [62]

The differential equation

M(x,y) \, dx + N(x,y) \, dy = 0

is considered exact if M_y = N_x (where subscripts denote partial derivatives). If it is exact, then its general solution is an implicit function f(x,y)=C such that f_x=M and f_y=N.

We have

M = \tan(x) - \sin(x) \sin(y) \implies M_y = -\sin(x) \cos(y)

N = \cos(x) \cos(y) \implies N_x = -\sin(x) \cos(y)

and M_y=N_x, so the equation is indeed exact.

Now, the solution f satisfies

f_x = \tan(x) - \sin(x) \sin(y)

Integrating with respect to x, we get

\displaystyle \int f_x \, dx = \int (\tan(x) - \sin(x) \sin(y)) \, dx

\implies f(x,y) = -\ln|\cos(x)| + \cos(x) \sin(y) + g(y)

and differentiating with respect to y, we get

f_y = \cos(x) \cos(y) = \cos(x) \cos(y) + \dfrac{dg}{dy}

\implies \dfrac{dg}{dy} = 0 \implies g(y) = C

Then the general solution to the exact equation is

f(x,y) = \boxed{-\ln|\cos(x)| + \cos(x) \sin(y) = C}

7 0
2 years ago
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