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3 years ago

Which names are other ways to name ∠3?

Mathematics

2 answers:

kirill115 [55]3 years ago

6 0

Answer:

∡3 = ∡CET

∡3 = ∡TEC

Ivan3 years ago

5 0

The correct choices are:

<CET

<TEC

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Plz use Differential equation method to solve this:

Oduvanchick [21]

Answer:

Step-by-step explanation:

We have the differential equation $y' = y + \frac{x}{y}$ with initial conditions $y(0)=1$ .

First, notice that the equation can be rewritten as

$y'-y =xy^{-1}$ ,

which is a Bernoulli equation. Once we have recognized the type of the equation we know how to continue. Recall that a Bernoulli equation has the general form

$y'+p(x)y=q(x)y^n$ .

In this particular case we have $n=-1$ . This kind of equation is solved by the change of variable $z=y^{1-n}$ . In our exercise we get $z=y^{1-(-1)}=y^2$ . Now we take derivatives and get

$z'=2yy'$ which es equivalent to $\frac{z'}{2y}=y'$ .

Then, we substitute the value of $y'$ we have obtained in the original equation:

$\frac{z'}{2y}-y = xy^{-1}$ .

The next step is to multiply the whole equation by $2y$ , in order to eliminate the denominator of $z'$ . Thus,

$z' -2y^2=2x$ .

Recall that $y^2=z$ , then

$z' -2z=2x$ .

This last equation is a linear equation, which has general solution

$z(x) = \exp\left(-\int(-2)dx\right)\left(\int 2x \exp\left(\int(-2)dx + C\right)\right)$ .

So, let us calculate the integral that appear in the formula:

$\int(-2)dx = -2x$

$\int 2x e^{-2x}dx = -\frac{\left(2x+1\right)e^{-2x}}{2}$ .

Then, the solution for $z$ is

$z(x) = e^{2x}\left(-\frac{\left(2x+1\right)e^{-2x}}{2} + C\right) = -\frac{\left(2x+1\right)}{2} + Ce^{2x}$ .

Now, we return the change of variable:

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

The last step is to find the value of the constant $C$ . In order to do this, substitute the initial value:

$(y(0))^2 = 1 =\frac{\left(2\cdot 0+1\right)}{2} + Ce^{2\cdot 0} = -\frac{1}{2} + C$ .

Thus, we have the equation

$1=-\frac{1}{2} + C$ that gives $C=\frac{3}{2}$ .

Therefore,

$(y(x))^2 = -\frac{\left(2x+1\right)}{2} + \frac{3}{2}e^{2x}$ .

8 0

4 years ago

A farmer wants to know whether a new fertilizer has increased the mean weight

ladessa [460]

Answer:

jsnejwjsnsjsjsjsbshsshhsnwmwkwkwnsndhdbr

7 0

3 years ago

Every six months, Jacinda deposits $475 into an interest-bearing account to save for her children's tuition. The interest rate o

Kisachek [45]

The future value annuity is given by:
FV=(1+r)*p{[(1+r)^n-1]/r}
our value will be:
FV=(1+0.071/2)*450{[(1+0.071/2)^(9*2)-1]/0.071/2}
FV=11,468.337

The present value of the annuity will be:
FV=PV(1+r)^n
11,468.337=PV(1+0.071)^9
solving for PV we get
PV=6185.791

Answer: PV=$6185.791

Answer is D]

7 0

4 years ago

Steve took a 300 mile business trip and decided to travel by car. He drove the speed limit for half the trip until an accident o

svetoff [14.1K]

Answer:

He traveled for 2.5 hrs at 54 mi/hr

He traveled for 3 hrs at 61 mi/hr

------------------------------

check:

(1) +d+=+54t+

(1) +d+=+54%2A2.5+

(1) +d+=+135+ mi

3 0

3 years ago

Estimate then record the product $473x9

ladessa [460]

So because 9 and 10 are close to each other, and the fact that 10 is really easy to multiply by, you do 473 x 10 which is 4730, because you just add a 0 to the end.
This means that an estimate is 4730 or if you want to be less specific, <4730, because 9 is less than 10.
The actual product though is 4257.

7 0

4 years ago

Read 2 more answers