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1 year ago

Its just math i need a little help

Mathematics

2 answers:

hichkok12 [17]1 year ago

7 0

Answer:

an = 2n + 10

Step-by-step explanation:

gulaghasi [49]1 year ago

7 0

use formula an = a+( n -1)d

where , a = first term

n = number of terms

d = common difference

Here , a = 12 , let's suppose n = N and d = 14-12=2

so, an = 12 + ( N -1)2

an = 12+2N - 2

an = 2N +10

an = 2(N+5) is the equation for the nth term of arithmetic sequence of 12 , 14 , 16, 18-------

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Answer:

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Step-by-step explanation:

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3 years ago

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 f :

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

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

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

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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 g :

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

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

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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SSSSS [86.1K]

Answer:

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Step-by-step explanation:

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