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PSYCHO15rus [73]

3 years ago

11

Identify the input and the output given the relation described:

1 answer:

MatroZZZ [7]3 years ago

5 0

The input is the cost or the amount of money Mr. Edward has to pay in order to park. The output is the parking space allotted for every hour that the car is parked.

It could also be that the input is the effort Mr. Edward put in asking for the cost while the output is the information needed by Mr. Edward - the cost of parking per hour.

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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

Can someone help me out plz ??!

scoray [572]

Answer:

≈ 62.8

Step-by-step explanation:

Using the equal ratios of

$\frac{areaof circle}{areaofsector}$ = $\frac{circleangle}{sectorangle}$ , that is

$\frac{100\pi }{sector}$ = $\frac{2\pi }{\frac{2\pi }{5} }$ = 5, thus

5 × sector = 100π ( divide both sides by 5 )

sector = 20π = 20 × 3.14 = 62.8 units²

7 0

3 years ago

3. At the beginning of the day, a water tank contained 526.8 gallons of water. During the day,

Andru [333]

Answer:

208.85

Step-by-step explanation:

It is 208.85 because when you have .8 + .05 =.85

5 0

3 years ago

Read 2 more answers

Help please , I'm so confused

Bingel [31]

If u separate these into 2 triangles then they will become 90 degree triangles so angle a=angle c.

8 0

2 years ago

An artist mixes yellow an blue paint to make the perfect shade of green. she uses 2 ounces of blue paint for every 7 ounces of y

Julli [10]

Answer:

14 ounces of blue paint

Step-by-step explanation:

The ratio of blue to yellow is 2:7

To solve this problem we can make a proportion:

2/7=x/49

the numerator represents the blue paint, the denominator represents the yellow paint

To solve the proportion you have to cross multiply:

2*49=7*x

x=14

She needs to add 14 oz of blue paint

I hope this helps :)

6 0

2 years ago