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3 years ago

Evaluate the expression. 6 + (72 − 7) The value of the expression is .

Mathematics

2 answers:

Andreas93 [3]3 years ago

6 0

Answer:

Step-by-step explanation:

72-7= 65

65+6=71

Olegator [25]3 years ago

5 0

71

Using PEMDAS, solve the inside of the paréntesis first (72-7= 65) then to that add 6 which gives you the total result of 71

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The Lagrangian is

$L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)$

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$L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}$

$L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda$

$L_\lambda=x^2+y^2-9=0$

Substitute $x,y$ into the last equation and solve for $\lambda$ :

$\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6$

Then we get two critical points,

$(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)$

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