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Pie
3 years ago
10

Fast! Which of the following are characteristics of the graph of the square root

Mathematics
1 answer:
svetlana [45]3 years ago
3 0

Answer:

Only choices B and C are correct.

Step-by-step explanation:

The square root parent function is f(x)= \sqrt{x}.

The function f(x) is not a linear function, therefore it's graph cannot be a straight line. This rules out choice A.

The function f(x) is defined at x=0 because f(0)= \sqrt{0} =0. This means that choice B is correct.

The function f(x) is only real for values x\geq 0, because negative values of x give complex values for f(x). This means that choice C is correct.

The function f(x) can take only positive values which means it is confined to only the I quadrant, and is not defined in quadrants II, III, and IV. This rules out Choice D.

Therefore only choices B and C are correct.

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Find the absolute maximum and minimum values of the following functions on the given curves functions:
bagirrra123 [75]

Answer:

Solution has explained below:

Step-by-step explanation:

(a) f(x,y) = x+y

To find out the maximum and minimum values, we need to find first and second derivatives, we have

fx= 1, fx₁=0 and

fy= 1 and fyy=0

For stationary points fx=fy=0, which gives,

1=1=0, so that there is just one stationary point, (x,y)=(0,0)

If  fx₁  < 0 and fyy < 0, function is maximum

If  fx₁ > 0 and fyy > 0, function is minimum.

(b) g(x,y) = xy

Sol: To find out the maximum and minimum values, we need to find first and second derivatives, we have

fx= 1 and fy  = 1

fx₁ = 0 and fyy =0

for stationary points fx = fy =0, which gives 1=1=0, so that there is just one stationary points, (x,y) =(0,0)

If fx₁ < 0 and fyy < 0, function is maximum.

If  fx₁  > 0 and fyy> 0, function is minimum.

c) h(x,y) = 2x2 + y2

sol: To find out the maximum and minimum values, we need to find first and second derivatives, we have

fx = 4x  and fy = 2y

fx₁= 4  and fyy = 2

Now, taking fx = 0 and fy = 0

Gives x=0 and y=0,

Stationary points are (x,y) = (0,0)

If fx₁ < 0 and fyy < 0, solution is maximum,

If fx₁ > 0 and fyy > 0, solution is minimum,

Here, fx₁ = 4 > 0 and fyy = 2 > 0.

6 0
3 years ago
Can you help me get the answer and explain to me how to do this please?
storchak [24]

Answer:

(8x+6)units

Step-by-step explanation:

its a matter of adding like terms

6 0
2 years ago
Find the point, M, that is two-sevenths of the distance from A(-9, 2) to B(-2, -12).
Softa [21]
(2B +5A)/7 = (2(-2, -12) +5(-9, 2))/7 = (-4-45, -24+10)/7 = (-7, -2)


Selection B is appropriate.
3 0
3 years ago
A rectangular prism has a length of 4 cm and a width of 5 cm.The volume of the prism is 200 cu cm .The height is unknown.Explain
Kaylis [27]

Answer:

Well just gonna explain kn the bottom but the answer is 10

Step-by-step explanation:

what you would have to do first is to jusy do 5x4 which is 20 then since you wanna find the volume yoi qould juat do 200 divide by 20 which is 10

3 0
3 years ago
Determine if the equation 4x^2 - 6y^2 = 144 represents an ellipse or a hyperbola, then determine if the ellipse or hyperbola is
PilotLPTM [1.2K]
It represents a horizontal hyperbole
8 0
3 years ago
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