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3 years ago

True or false how do you know?

Mathematics

2 answers:

luda_lava [24]3 years ago

5 0

Answer:

True because b is larger than a in mass

Step-by-step explanation:

Harrizon [31]3 years ago

3 0

Answer:

true

Step-by-step explanation:

figure B is figure A but 3 times the size.

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Find the solution of the problem (1 3. (2 cos x - y sin x)dx + (cos x + sin y)dy=0.

lakkis [162]

Answer:

$2*sin(x)+y*cos(x)-cos(y)=C_1$

Step-by-step explanation:

Let:

$P(x,y)=2*cos(x)-y*sin(x)$

$Q(x,y)=cos(x)+sin(y)$

This is an exact differential equation because:

$\frac{\partial P(x,y)}{\partial y} =-sin(x)$

$\frac{\partial Q(x,y)}{\partial x}=-sin(x)$

With this in mind let's define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x}=P(x,y)$

and

$\frac{\partial f(x,y)}{\partial y}=Q(x,y)$

So, the solution will be given by f(x,y)=C1, C1=arbitrary constant

Now, integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y)

$f(x,y)=\int\ 2*cos(x)-y*sin(x)\, dx =2*sin(x)+y*cos(x)+g(y)$

where g(y) is an arbitrary function of y

Let's differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y}=\frac{\partial }{\partial y} (2*sin(x)+y*cos(x)+g(y))=cos(x)+\frac{dg(y)}{dy}$

Now, let's replace the previous result into $\frac{\partial f(x,y)}{\partial y}=Q(x,y)$ :

$cos(x)+\frac{dg(y)}{dy}=cos(x)+sin(y)$

Solving for $\frac{dg(y)}{dy}$

$\frac{dg(y)}{dy}=sin(y)$

Integrating both sides with respect to y:

$g(y)=\int\ sin(y) \, dy =-cos(y)$

Replacing this result into f(x,y)

$f(x,y)=2*sin(x)+y*cos(x)-cos(y)$

Finally the solution is f(x,y)=C1 :

$2*sin(x)+y*cos(x)-cos(y)=C_1$

7 0

3 years ago

Find the area of this circle use 3.14 or 22/7 or pie round your answer to the nearest hundred if necessary

notka56 [123]

Answer:

The area of the circle is 50.24 mm ²

Step-by-step explanation:

To solve this exercise we need to use the area formula of a circle:

a = area

r = radius = 4mm

π = pi = 3.14

a = π * r²

a = 3.14 * (4mm )²

a = 3.14 * 16mm ²

a = 50.24 mm ²

The area of the circle is 50.24 mm ²

6 0

3 years ago

A calculator may be used for this question. The energy saving from recycling one glass bottle will power the oven Adam uses to c

evablogger [386]

The one above is right.

5 0

3 years ago

Which expression is modeled by this arrangement of tiles? 40 positive tiles are broken up into 10 groups of 4 positive tiles. 40

Lisa [10]

Answer:

$\frac{40}{4}$

Step-by-step explanation:

The model shows that there are 40 tiles which were divided into 4 per group. This results into 10 groups. That is:

$\frac{40 tiles}{4} = 10 groups$

Therefore, the expression modeled by the arrangement of the tiles is $\frac{40}{4}$

6 0

3 years ago

Read 2 more answers

Solve the inequality<br><br><br><br> 2x + 9 < 4x + 3

Diano4ka-milaya [45]

Answer:

x > 3

Step-by-step explanation:

2x+9<4x+3

or, 9-3<4x-2x

or, 6<2x

or, (6/2)<x

or, 3<x

or, x >3

5 0

3 years ago

Read 2 more answers