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Luda [366]
4 years ago
15

Consider the function f(x, y) = x2 + xy + y2 defined on the unit disc, namely, D = {(x, y)| x2 + y2 ≤ 1}. Use the method of Lagr

ange multipliers to locate the maximum and minimum points for f on the unit circle. Use this to determine the absolute maximum and minimum values for f on D. maximum minimum

Mathematics
1 answer:
alex41 [277]4 years ago
6 0

Answer:

Answer with explanation and steps are in the following attachment.

Step-by-step explanation:

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2x + 3y = 8<br> solve for y helpppppp
raketka [301]

Answer:

y= -2/3x+8/3

Step-by-step explanation:

4 0
3 years ago
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Solve for y: 3d = 7y + 5
pogonyaev

Answer:

d = \frac{7y+5}{3}

Step by step explanation:

3d = 7y+5

<em>Divide both sides by 3</em>

<em />\frac{3d}{3}<em>= </em>\frac{7y}{3}+ \frac{5}{3}

<em>Simplify</em>

\frac{7y+5}{3}

7 0
3 years ago
a shore store is going out of business. all shoes were marked half off and are now an additional 20% off the sale price. given a
Aleksandr [31]
F = .7p

add the original discount of 50% to the additional of 20%. the total discount is 70%. multiply the 70% (.7 as a decimal) by the original price (p) to find the final price (f).
8 0
4 years ago
Helllllllllppppppppp
Olin [163]

Answer:

\frac{8}{5} x^{2}  - \frac{16}{5} xy + 4x

xy^{2} + \frac{2}{3}y - 8y^{2}z

Step-by-step explanation:

We have to simplify the followings:  

1) - \frac{4}{5}x (- 2x + 4y - 5)

= - \frac{4}{5}x \times (- 2x) +  - \frac{4}{5}x \times (4y) + - \frac{4}{5}x \times (- 5)  

{By distributive property of multiplication}

= \frac{8}{5} x^{2}  - \frac{16}{5} xy + 4x (Answer)

2) 2y^{2}( \frac{1}{2} x + \frac{2}{6}y - 4z)

= 2y^{2} \times (\frac{1}{2} x) + 2y^{2} \times ( \frac{2}{6}y) - 2y^{2} \times (4z)

{By distributive property of multiplication}

= xy^{2} + \frac{2}{3}y - 8y^{2}z (Answer)

6 0
3 years ago
Given vectors u = ⟨2, –3⟩ and v = ⟨1, –1⟩, what is the measure of the angle between the vectors?
oksano4ka [1.4K]

Answer:

The measure of the angle between the vectors = Ф = 11.30°

Step-by-step explanation:

Given

  • u = ⟨2, –3⟩
  • v = ⟨1, –1⟩

\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}

Next, find the lengths of the vectors:

\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}

u = ⟨2, –3⟩

\:\:\left|u\right|\:=\sqrt{2^2+\left(-3\right)^2}

     =\sqrt{13}

u = ⟨2, –3⟩

|v|=\sqrt{1^2+\left(-1\right)^2}

    =\sqrt{2}

Finally, the angle is given by:

\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}

cos (Ф) = 5/√26

Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)

Ф = 11.30°

Thus, the measure of the angle between the vectors = Ф = 11.30°

6 0
3 years ago
Read 2 more answers
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