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2 years ago

I don’t understand this question

Mathematics

1 answer:

Arada [10]2 years ago

3 0

Step-by-step explanation:

step 1. a polynomial must have whole non negative exponents

step 2. A, B, D have negative exponents

step 3. C is a polynomial.

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Given the dilation rule Do,1/3 (, y)

bearhunter [10]

Answer:

D: (0,3)

Step-by-step explanation:

3 0

2 years ago

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

2 years ago

If 20% of X is $6, what is 38% of X?

galben [10]

20% of x=6
20/100 of x=6
20x= 600
x=30
38% of 30=11.4

5 0

2 years ago

Which statement is true

liberstina [14]

B is true
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8 0

2 years ago

Which statement is NOT always true?

BartSMP [9]

B. The product of two irrational numbers if rational

Example: The square root of 2 times the square root of 3, is the square root of 6, which is still irrational.

3 0

3 years ago