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Shalnov [3]
3 years ago
9

Y=f(×)=9× Find f(×) when x =1/2

Mathematics
1 answer:
mojhsa [17]3 years ago
8 0
<h3>f(x) is equal to 4.5 when x = 1/2</h3>

<em><u>Solution:</u></em>

Given that,

y = f(x) = 9x

We have to find f(x) when x = 1/2

We can solve by substituting x = 1/2 in given function

f(x) = 9x\\\\Plug\ in\ x = \frac{1}{2}\\\\f(\frac{1}{2}) = 9 \times \frac{1}{2}\\\\f(\frac{1}{2}) = 4.5

Thus f(x) is equal to 4.5 when x = 1/2

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This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex
harina [27]
L(x,y,z,\lambda)=8x+8y+4z+\lambda(4x^2+4y^2+4z^2-36)

L_x=8+8\lambda x=0\implies 1+\lambda x=0
L_y=8+8\lambda y=0\implies 1+\lambda y=0
L_z=4+8\lambda z=0\implies 1+2\lambda z=0
L_\lambda=4x^2+4y^2+4z^2-36=0\implies x^2+y^2+z^2=9

yL_x=y+\lambda xy=0
xL_y=x+\lambda xy=0
\implies yL_x-xL_y=y-x=0\implies y=x

2zL_x=2z+2\lambda xz=0
xL_z=x+2\lambda xz=0
\implies 2zL_x-xL_z=2z-x=0\implies x=2z

2zL_y=2z+2\lambda yz=0
yL_z=y+2\lambda yz=0
\implies 2zL_y-yL_z=2z-y=0\implies y=2z

x=y=2z\implies x^2+y^2+z^2=9\iff 4z^2+4z^2+z^2=9z^2=9\implies z=\pm1

z=\pm1\implies y=x=\pm2

So we have two critical points, (2, 2, 1) and (-2, -2, -1), which respectively give a max of 36 and a min of -36.
5 0
3 years ago
SOMEBODY HELP ME PLEASE<br>​
olga2289 [7]

Answer:

the answer is 2x-2

hopes this helpas

6 0
3 years ago
Name the point of concurrency shown. Please don’t answer if you don’t know it!
Anastasy [175]

Answer:

the answer is it is c, centroid.

5 0
3 years ago
Si un joven recorre en su patineta una pista de 200 metros en un minuto. ¿ A que velocidad circula?​
crimeas [40]

Answer:

6.67 metros por segundo

~ Haga 800/120 que equivale a 6.67 porque hay 60 segundos en un minuto y hay dos minutos, entonces 60 veces 2 es igual a 180, luego configure su problema

Espero que esto te ayude:)

8 0
4 years ago
Pls helppppp and explain how to answer
34kurt
Well, the place is charging him 115/hr
and he's booked it for 6hrs

how much is going to be his cost? well \bf \cfrac{115}{hr}\cdot 6hr\implies 690

now, there will be 14 teams playing, so... if we divide 690 evenly among the 14 teams, that means each team will need to pay 690/14 about 49.28571 or 49 bucks and 29 cents about

now, if each team pays that much, they'll cover 690, so Dylan has his cost covered, however, for a profit, a profit is surplus, so, in order to make surplus income, or profit, he'll need to charge "more than" 49.29
or he needs to charge "x", whilst    x > 49.29
3 0
3 years ago
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