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attashe74 [19]
3 years ago
5

What is the sum of -4 + 4b + 4 =

Mathematics
2 answers:
Tatiana [17]3 years ago
8 0
Eliminate the opposites
Answer

4b
Darya [45]3 years ago
3 0

Answer:

4b

Step-by-step explanation:

-4 + 4 = 0

That leaves us with 4b.

I hope this helps.

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Allison wants to calculate the speed of a sound wave.<br> Which formula should she use?
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Answer:

speed = distance/time

Step-by-step explanation:

The faster a sound wave travels, the more distance it will cover in the same period of time. If a sound wave were observed to travel a distance of 700 meters in 2 seconds, then the speed of the wave would be 350 m/s.

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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,

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

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

(b) g(x,y) = xy

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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.

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Answer:

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