All categories

3 years ago

2.

Mathematics

2 answers:

Blizzard [7]3 years ago

7 0

Answer:

P' = 1/3 P

Step-by-step explanation:

Reflection in the y-axis just changes the sign of all the x-values. Since P" ≅ P', and P' is smaller than P, P" cannot be ≅ to P . It is, however, similar to P.

Good luck!!

Genrish500 [490]3 years ago

3 0

Answer:

P' = 1/3 P

reflection in the y-axis just changes the sign of all the x-values.

Since P" ≅ P', and P' is smaller than P, P" cannot be ≅ to P

It is, however, similar to P.

You might be interested in

In a + b, if b is divisible by n, is a + b divisible by n?

levacccp [35]

Answer:

Step-by-step explanation:

I think the answer should be no because only b is divisible by n not a

3 0

3 years ago

The value of 3√343 is (a) 8 (b)7 (c)6 (d)3

fredd [130]

The answer will be 3.

8 0

3 years ago

Read 2 more answers

Solution for dy/dx+xsin 2 y=x^3 cos^2y

vichka [17]

Rearrange the ODE as

$\dfrac{\mathrm dy}{\mathrm dx}+x\sin2y=x^3\cos^2y$
$\sec^2y\dfrac{\mathrm dy}{\mathrm dx}+x\sin2y\sec^2y=x^3$

Take $u=\tan y$ , so that $\dfrac{\mathrm du}{\mathrm dx}=\sec^2y\dfrac{\mathrm dy}{\mathrm dx}$ .

Supposing that $|y|$ , we have $\tan^{-1}u=y$ , from which it follows that

$\sin2y=2\sin y\cos y=2\dfrac u{\sqrt{u^2+1}}\dfrac1{\sqrt{u^2+1}}=\dfrac{2u}{u^2+1}$
$\sec^2y=1+\tan^2y=1+u^2$

So we can write the ODE as

$\dfrac{\mathrm du}{\mathrm dx}+2xu=x^3$

which is linear in $u$ . Multiplying both sides by $e^{x^2}$ , we have

$e^{x^2}\dfrac{\mathrm du}{\mathrm dx}+2xe^{x^2}u=x^3e^{x^2}$
$\dfrac{\mathrm d}{\mathrm dx}\bigg[e^{x^2}u\bigg]=x^3e^{x^2}$

Integrate both sides with respect to $x$ :

$\displaystyle\int\frac{\mathrm d}{\mathrm dx}\bigg[e^{x^2}u\bigg]\,\mathrm dx=\int x^3e^{x^2}\,\mathrm dx$
$e^{x^2}u=\displaystyle\int x^3e^{x^2}\,\mathrm dx$

Substitute $t=x^2$ , so that $\mathrm dt=2x\,\mathrm dx$ . Then

$\displaystyle\int x^3e^{x^2}\,\mathrm dx=\frac12\int 2xx^2e^{x^2}\,\mathrm dx=\frac12\int te^t\,\mathrm dt$

Integrate the right hand side by parts using

$f=t\implies\mathrm df=\mathrm dt$
$\mathrm dg=e^t\,\mathrm dt\implies g=e^t$
$\displaystyle\frac12\int te^t\,\mathrm dt=\frac12\left(te^t-\int e^t\,\mathrm dt\right)$

You should end up with

$e^{x^2}u=\dfrac12e^{x^2}(x^2-1)+C$
$u=\dfrac{x^2-1}2+Ce^{-x^2}$
$\tan y=\dfrac{x^2-1}2+Ce^{-x^2}$

and provided that we restrict $|y|$ , we can write

$y=\tan^{-1}\left(\dfrac{x^2-1}2+Ce^{-x^2}\right)$

5 0

4 years ago

In the given picture, y/x =4 and z/x =3. Find x.

anygoal [31]

Answer:

Step-by-step explanation:

x=22.5 degrees

3 0

4 years ago

The circumference of a circle is about 37.7 cm and the diameter is about 12 cm. What expression best represents the value of π ?

Yakvenalex [24]

Answer:

Step-by-step explanation:

Circumference of a circle means the perimeter of a circle and it is given be

Perimeter=2πr

P=2πr

Though π is a constant

But this question want us to find π

Make π the subject of the formula

Then, divide both side by

π=P/2r

Given that P=37.7cm

And diameter =12

And radius is half of diameter.

Therefore, radius =12/2=6cm

Then

π=P/2r

π=37.7/2×6

π=37.7/12.

Then, the last option is the correct option

6 0

3 years ago