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3 years ago

Need help due today at 4:00plz help!!

Mathematics

1 answer:

enot [183]3 years ago

5 0

Answer:i am not quite sure, my advice would be to look up a formula calculator, have a nice day <3

Step-by-step explanation:

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Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values

Vesnalui [34]

The Lagrangian is

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

with critical points where the partial derivatives vanish.

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

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

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

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,

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

We get an absolute maximum of $3\sqrt{17}\approx12.369$ at the second point, and an absolute minimum of $-3\sqrt{17}\approx-12.369$ at the first point.

4 0

3 years ago

Subtract h + 3 from 6h + 1. Enter your answer in the box

guapka [62]

6h + 1 - (h + 3)
= 6h + 1 - h - 3
= 5h - 2

3 0

3 years ago

Read 2 more answers

How many dots are in the 30th figure

mafiozo [28]

Hey can you show a picture of the figure?

4 0

3 years ago

Paulita reads an average of 20 pages each day.She has 6 days to read 10 to the 2 pages.Will she finish her reading in 6 days?Exp

Free_Kalibri [48]

yes

10² = 10 × 10 = 100

divide 100 by her daily average of 20

$\frac{100}{20}$ = 5

She should be able to read 100 pages in 5 days

4 0

4 years ago

Please help <br><br><br><br> …………………………

faltersainse [42]

Answer:

u=22

Step-by-step explanation:

Triangel JKI and Triangel HKI are congruent by rule SAS (Side Angel Side)

JI and IH are congruent by rule CPCTC (Coungruent Parts of Cogruent Triangels are Cogruent).

2u=u+22

u=22

6 0

3 years ago