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3 years ago

What is the maximum value of the function

Mathematics

1 answer:

Sveta_85 [38]3 years ago

7 0

Answer:

$10$

Step-by-step explanation:

$f(x)=-x^2+6x+1$

x coordinate:

$\frac{-b}{2a}$

$a=-1\\b=6$

$\frac{-6}{2(-1)} \\\frac{-6}{-2}\\ =3$

y-coordinate:

$f(3)=-(3)^2+6(3)+1\\f(3)=-9+18+1\\f(3)=10$

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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

pickupchik [31]

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)

3 0

3 years ago

Using only the values given in the table for the function, f(x), what is the interval of x-values over which the function is inc

Tema [17]

The answer is b (-3,-1)

7 0

3 years ago

Read 2 more answers

9. A. (3, 6) B. (20, –4) C. (10, –1) D. (–1, 8)

crimeas [40]

Answer:

(10, –1)

Step-by-step explanation:

[1]XXXX3y=−12x+2

[2]XXXXy=−x+9

While it is not technically necessary, I find it easier to clear the fractions before actually beginning; so multiplying [1] by 2

[3]XXXX6y=−x+4

Substituting (from [2]) (−x+9) for y in [3]

[4]XXXX6(−x+9)=−x+4

Simplifying

[5]XXXX−6x+54=−x+4

[6]XXXX5x=50

[7]XXXXx=10

Substituting (from [7]) 10 for x in [2]

[8]XXXXy=−10+9=−1

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3 years ago

Is -24 a solution to the equation -16+2x=-64

S_A_V [24]

Answer:

It is a solution

Step-by-step explanation:

To check and see if it is a solution, we can substitute it in

-16 +2(-24) = -64

-16 -48 = -64

-64=-64

Since this is true, it is a solution

3 0

4 years ago

Wells College in Aurora, New York was previously an all-girls college. In 2005, the college began to allow boys to enroll. By 20

vagabundo [1.1K]

Answer:

150 boys were enrolled in 2012

Step-by-step explanation:

Let the number of boys enrolled in 2012 be x

Let the number of girls enrolled in 2012 be x + 200

Ratio of boys to girls in 2012 enrollment = 3/7

Now;

3/7 = x/x + 200

7x = 3(x + 200)

7x = 3x + 600

7x - 3x = 600

4x = 600

x = 600/4

x = 150 boys

Hence, 150 boys were enrolled in 2012

5 0

3 years ago