3 years ago

PLEASE HELPPPPP iSSA PICTURE I KNOW IM ALWAYS ASKING FOR HELP BUT I DONT UNDERSTAND YAHHH

Mathematics

1 answer:

tia_tia [17]3 years ago

8 0

The answer would be 1/6.

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Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.

skad [1K]

Answer:

The absolute maximum and minimum is $20\; \text{and} -20.$

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

$f_x=y-4=0$

$f_y=x=0$

The only solution to this system of equations is the point (0, 4), which lies in the domain.

$f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1$

$\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1$

$\therefore (0,4)$ is a saddle point.

Boundary points - $(4,0), (-4,0), (0,16)$

Along boundary $y=16-x^2$

$f=x(16-x^2)-4x$

$=16x-x^3-4x$

$\Rightarrow f^'=16-3x^2-4=0$

$\Rightarrow 3x^2=12$

$\Rightarrow x=\pm2,\;\;y=14$

Values of f(x) at these points.

$\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}$

Therefore, the absolute maximum and minimum is $20\; \text{and} -20.$

6 0

3 years ago

A car purchased for $17,500. After each year the resale value decreases by 20%. What will the resale value be after 4 years? Rou

Tema [17]

The value at the end of the year is 100% - 20% = 0.80 of the value at the beginning of the year. After 4 years of multiplying by this factor, the value is
$17,500·0.80⁴ = $7,168

3 0

3 years ago

If the point (x, y) is on the y-axis, which of the following must be true? A). x=0 B). y=0

Musya8 [376]

Answer:

X = 0

Step-by-step explanation:

3 0

3 years ago

Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her.

Paul [167]

Answer:

98 or 105

Step-by-step explanation:

3 0

2 years ago

Geometry help will give brainliest

Natali [406]

6x + 4x + 10 = 180
10x = 170
x = 17

mCA = 4(17) + 10 = 68 + 10 = 78

Answer:
mCA = 78°

8 0

3 years ago