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malfutka [58]
3 years ago
5

Find the absolute maximum and minimum of the function on the given domain. f (x comma y )equals 8 x squared plus 7 y squared on

the closed triangular plate bounded by the lines x equals 0 comma y equals 0 comma y plus 2 x equals 2 in the first quadrant

Mathematics
1 answer:
pickupchik [31]3 years ago
3 0

Answer:

the maximum value is 7

The minimum value is 0

Step-by-step explanation:

Step One : Interpret the question

       The above question can be written like

The Equation

            f(x,y) = 8x^2 +7y^2

The diagram of the triangular plate and the bounded lines is shown on the first uploaded image

          From the diagram  f(0,0) = 8(0)^2 +7(0)^2 =0

                                          f(1,0) =8(1)^2 + 7(0)^2 = 8

                                          f(0,1) =8(0)^2 + 7(1)^2 = 7

Partial differentiation of the equation w.r.x

                           A =\frac{\delta f}{\delta x }  = 16x

 Partial differentiation of the equation w.r.y

                          B =\frac{\delta f}{\delta y }  = 14y            

Looking at the diagram the maximum value is 7 i.e  at (x , y) = (0,1)

The minimum value is 0 i.e  (x , y) = (0,0)

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What is the 7th term of the sequence 3,12,48,192
Sedbober [7]
If you look at this sequence, every term of this sequence is being multiplied by 4.

3 x 4 = 12
12 x 4 = 48
48 x 4 = 192
192 x 4= 768
768 x 4 = 3072
3072 x 4 = 12288

So the 7th term of this sequence is 12288.
8 0
3 years ago
Please help me out i will mark brainliest i need help on this! Its plot dot and dot plotting!
finlep [7]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
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goblinko [34]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Determine the longest side in ΔDEF.
Helen [10]

Option D:

Segment DF

Solution:

Let us first define the relationship between the side and angle in triangle.

<u>Relationship between the side and angle in triangle:</u>

  • The shortest side is always opposite to the smallest interior angle.
  • The largest side is always opposite to the largest interior angle.

To find the largest side in ΔDEF:

Largest angle in ΔDEF is ∠­E = 73°

So, the side opposite to 73° is DF.

Therefore, Option D is the correct answer.

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6 0
2 years ago
Read 2 more answers
Why is this correct?
Vanyuwa [196]

Answer: A= independent variable W = dependent variable  

Step-by-step explanation:

w= a/25

7 0
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