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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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Which ratio correctly compares 150 mm to 60 cm?
BartSMP [9]
Convert 150mm into cm = 15cm   
So 15cm to 60cm 
Divide by 15
B. 1 to 4
6 0
3 years ago
And those... sorryyyyyy!:(
sasho [114]

Answer:

F: 18

Step-by-step explanation:

find total amount of points

43 + 7 = 50

subtract half of 50 to find the midpoint

43 - 25

18

L = 18

3 0
3 years ago
Read 2 more answers
It is estimated that the population of the world is increasing at an average rate of 1.09%. The population was about 7,632,819,3
morpeh [17]

Answer:

The equation that represents the population after T years is

P_{t}  = 7,632,819,325 [1 +\frac{1.09}{100} ]^{T}

Step-by-step explanation:

Population in the year 2018 ( P )= 7,632,819,325

Rate of increase R = 1.09 %

The population after T years is given by the formula

P_{t}  = P [1 +\frac{R}{100} ]^{T} -------- (1)

Where P = population in 2018

R = rate of increase

T = time  period

Put the values of P & R in above equation we get

P_{t}  = 7,632,819,325 [1 +\frac{1.09}{100} ]^{T}

This is the equation that represents the population after T years.

6 0
2 years ago
PLEASE HELPPPP(BRAINLIEST FOR RIGHT ANSWER)
Thepotemich [5.8K]

Answer:

The relation between polar and Cartesian coordinates are

r2=x2+y2

tan

θ

=

y

x

,

x

=

r

cos

θ

,

y

=

r

sin

θ

r

=

8

sin

θ

∴

r

⋅

r

=

r

⋅

8

sin

θ

or

r

2

=

8

r

sin

θ

∴

x

2

+

y

2

=

8

y

or

x

2

+

y

2

−

8

y

=

0

or

x

2

+

y

2

−

8

y

+

16

=

16

or

x

2

+

(

y

−

4

)

2

=

4

2

Rectangular form is

x2+(y-4)2=42

graph{x^2+(y-4)^2=16 [-20, 20, -10, 10

Step-by-step explanation:

i created it that way so yall will take a longer time to answer

8 0
2 years ago
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What is the answer ????
zlopas [31]
I think its c hope this helps sorry if it dont
7 0
3 years ago
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