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Volgvan
3 years ago
6

How many times grater is 3.4 times 10^5 and 2 times 10^3

Mathematics
1 answer:
tresset_1 [31]3 years ago
7 0

Answer:

1.7*10^3 greater

Step-by-step explanation:

So just divide the two numbers

3.4 * 10^5/ 2 * 10^3

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Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:
ryzh [129]

First find the critical points of <em>f</em> :

f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7

\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1

\dfrac{\partial f}{\partial y}=6y=0\implies y=0

so the point (1, 0) is the only critical point, at which we have

f(1,0)=-7

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t

Find the critical points of <em>g</em> :

\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0

\implies\sin t=0\text{ OR }1+5\cos t=0

\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi

where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at

t=0\implies f(10,0)=155

t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299

t=\pi\implies f(-10,0)=235

t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299

So <em>f</em> has a minimum of -7 and a maximum of 299.

4 0
3 years ago
How many moles are in 30.0g of N2
vazorg [7]

Answer:1.0709

Step-by-step explanation:

4 0
3 years ago
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Simplify square root of negative 48.
kvv77 [185]
We want to simplify √(-48).

Note that
i² = -1 by definition.
Therefore
\sqrt{-48} =  \sqrt{i^{2}.16.3} = \sqrt{i^{2}}  \sqrt{16}  \sqrt{3} =4i \sqrt{3}

Answer: c.  4i \sqrt{3}

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3 years ago
Write a linear equation of the line that passes through (6, -1) and is parallel y
Lostsunrise [7]
Answer
The answer is A, y=-1/2x +2
5 0
3 years ago
There is a 60% chance that your math teacher will give a pop quiz tonight, and due to the fact that you have a soccer game, ther
s2008m [1.1K]
Probability of Quiz = 0.6
Probability of Not doing homework 0.85

Probability of both event happening = P1 * P2 = 0.51

The probability of there being a quiz and you not doing the homework is 51%


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3 years ago
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