All categories

3 years ago

Advanced 2: BTS > Chapter 13 > Section Exercises 13.43 Exercise TU

Mathematics

1 answer:

liraira [26]3 years ago

8 0

It’s about like 150000 c

You might be interested in

Please help on number 15

borishaifa [10]

....................................................................

6 0

3 years ago

Multiply k(5j+2) what is the answer to this please

AfilCa [17]

Use the distributive property to get 5kj+2k

8 0

3 years ago

5x + 5(x - 18) = 0 x = ?

dmitriy555 [2]

Hopes this helps:

Answer: 9

4 0

3 years ago

Consider the differential equation <img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D6%20y%5E%7

Nutka1998 [239]

As a Bernoulli equation:

$x^2\dfrac{\mathrm dy}{\mathrm dx}=6y^2+6xy\iff x^2y^{-2}\dfrac{\mathrm dy}{\mathrm dx}-6xy^{-1}=6$

Let $z=y^{-1}\implies\dfrac{\mathrm dz}{\mathrm dx}=-y^{-2}\dfrac{\mathrm dy}{\mathrm dx}$ . The ODE becomes

$-x^2\dfrac{\mathrm dz}{\mathrm dx}-6xz=6$
$x^6\dfrac{\mathrm dz}{\mathrm dx}+6x^5z=-6x^4$
$\dfrac{\mathrm d}{\mathrm dx}[x^6z]=-6x^4$
$x^6z=-6\displaystyle\int x^4\,\mathrm dx$
$x^6z=-\dfrac65x^5+C$
$z=-\dfrac6{5x}+\dfrac C{x^6}$
$y^{-1}=-\dfrac6{5x}+\dfrac C{x^6}$
$y=\dfrac1{\frac C{x^6}-\frac6{5x}}$
$y=\dfrac{5x^6}{C-6x^5}$

With $y(3)=6$ , we get

$6=\dfrac{5(3)^6}{C-6(3)^5}\implies C=\dfrac{4131}2$

so the solution is

$y=\dfrac{5x^6}{\frac{4131}2-6x^5}=\dfrac{10x^6}{4131-12x^5}$

which is valid as long as the denominator is not zero, which is the case for all $x\neq\sqrt[5]{\dfrac{4131}{12}}$ .

8 0

3 years ago

Abby's cat weighs 18 pounds. Her dog weighs 2 pounds more than half her cat's weight.write and evaluate an expression to show ho

Andrews [41]

Answer:

11 pounds

Step-by-step explanation:

Just divide the cats weight by 2 and then add 2

(18)/2 + 2

7 0

3 years ago