Ask question

Ask question

All categories

vagabundo [1.1K]

3 years ago

14

Write y^2 - y^4 without exponents

1 answer:

True [87]3 years ago

7 0

Answer:

y•y-y•y•y•y

Step-by-step explanation:

y^2 is equal to y•y and y^4 is equal to y•y•y•y.

You might be interested in

Find the range of f

Ugo [173]

Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x). ...
If you can't seem to solve for x, then try graphing the function to find the range.

8 0

3 years ago

Question 4 of 5

belka [17]

Answer:

Angle B is a straight angel. Angels a and c are bot 45 degrees.

Step-by-step explanation:

8 0

3 years ago

Joe has saved $30. He earns $7.50 per hour at his job. He plans to buy a plane ticket to Florida for $300. Enter the minimum num

ruslelena [56]

Answer:

30 hours

Step-by-step explanation:

300 - 30

270/7.5

8 0

2 years ago

Solve the initial value problem y'=2 cos 2x/(3+2y),y(0)=−1 and determine where the solution attains its maximum value.

zloy xaker [14]

Answer:

$y=\frac{-3\pm\sqrt{4sin2x+1}}{2}$

$x={\pi}{4}$

Step-by-step explanation:

We are given that

$y'=\frac{2cos2x}{3+2y}$

y(0)=-1

$\frac{dy}{dx}=\frac{2cos2x}{3+2y}$

$(3+2y)dy=2cos2x dx$

Taking integration on both sides then we get

$\int (3+2y)dy=2\int cos 2xdx$

$3y+y^2=sin2x+C$

Using formula

$\int x^n=\frac{x^{n+1}}{n+1}+C$

$\int cosx dx=sinx$

Substitute x=0 and y=-1

$-3+1=sin0+C$

$-2=C$

$sin0=0$

Substitute the value of C

$y^2+3y=sin2x-2$

$y^2+3y-sin 2x+2=0$

$y=\frac{-3\pm\sqrt{(3)^2-4(1)(-sin2x+2)}}{2}$

By using quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$y=\frac{-3\pm\sqrt{9+4sin2x-8}}{2}=\frac{-3\pm\sqrt{4sin2x+1}}{2}$

Hence, the solution $y=\frac{-3\pm\sqrt{4sin2x+1}}{2}$

When the solution is maximum then y'=0

$\frac{2cos2x}{3+2y}=0$

$2cos2x=0$

$cos2x=0$

$cos2x=cos\frac{\pi}{2}$

$cos\frac{\pi}{2}=0$

$2x=\frac{\pi}{2}$

$x=\frac{\pi}{4}$

3 0

3 years ago

The equation of a circle is x2 + y2 = 56.25. Find the radius of the circle?

Lady bird [3.3K]

Answer:

r = 7.5

Step-by-step explanation:

Circle equation: $(x - h)^2 + (y - k)^2 = r^2$

Since we are already give <em>r²</em>, we simply just take the square root of 56.25, and we should get 7.5 as our final answer!

7 0

3 years ago