Find the difference

Mathematics

1 answer:

Elan Coil [88]3 years ago

4 0

It’s pretty simple just subtract

You might be interested in

How do I find the independent and dependent varible?

VikaD [51]

The independent variable isn't affected by anything and can't change, and the dependent varible relies on the independent variable to decide what it is.

7 0

3 years ago

Find the area of the surface. the part of the hyperbolic paraboloid z = y2 − x2 that lies between the cylinders x2 + y2 = 16 and

meriva

Parameterize the surface (call it $\mathcal S$ ) by

$\mathbf s(u,v)=\langle u\cos v,u\sin v,u^2\sin^2v-u^2\cos^2v\rangle=\langle u\cos v,u\sin v,-u^2\cos2v\rangle$

with $4\le u\le5$ and $0\le v\le2\pi$ , which yields

$\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv=u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv$

Then the area of $\mathcal S$ is given by the surface integral

$\displaystyle\iint_{\mathcal S}\mathrm dS=\int_{v=0}^{v=2\pi}\int_{u=4}^{u=5}u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv=\dfrac{(101^{3/2}-65^{3/2})\pi}6$

8 0

3 years ago

If equation of a circle is x^2 + y^2 + 6x + 4y + 10 = 1 What is this equation written in its standard form?

Darya [45]

$\text{The equation of a circle in standard form:}\\\\(x-h)^2+(y-k)^2=r^2\\\\(h,\ k)-center\\r-radius\\---------------------------\\\\Use\ (a+b)^2=a^2+2ab+b^2\\\\---------------------------$

$x^2+y^2+6x+4y+10=0\qquad\text{subtract 10 from both sides}\\\\x^2+6x+y^2+4y=-10\\\\x^2+2x\cdot3+y^2+2y\cdot2=-10\qquad\text{add}\ 3^2\ \text{and}\ 2^2\ \text{to both sides}\\\\(x^2+2x\cdot3+3^2)+(y^2+2y\cdot2+2^2)=-10+3^2+2^2\\\\(x+3)^2+(y+2)^2=-10+9+4\\\\\boxed{(x+3)^2+(y+2)^2=3}$