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Blababa [14]
3 years ago
9

Arrange the polynomial equations in increasing order of the maximum number of extrema they could have. y = x6 − 6x3 + 5x y = x5

+ 4x3 − 5x y = x3 + 21x2 + 110 y = 3x2 + 5 y = x4 − 17x2 + 72 ↓ ↓ ↓ ↓
Mathematics
2 answers:
GrogVix [38]3 years ago
5 0

Answer:

Step-by-step explanation:

Sati [7]3 years ago
3 0

Answer:

Arrange the polynomial equations in increasing order of the maximum number of extrema they could have. y = x6 − 6x3 + 5x y = x5 + 4x3 − 5x y = x3 + 21x2 + 110 y = 3x2 + 5 y = x4 − 17x2 + 72 ↓ ↓ ↓ ↓

Step-by-step explanation:

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Find a linear approximation of the function f(x)=\sqrt[3]{1+x} at a=0, and use it to approximate the numbers \sqrt[3]{.96} and \
34kurt
f(x)=\sqrt[3]{1+x}=(1+x)^{1/3}\implies f'(x)=\dfrac1{3(1+x)^{2/3}}

The linear approximation to f(x) around x=a is then

L(x)=f(a)+f'(a)(x-a)\approx f(x)

So the approximation centered at a=0 will be

L(x)=f(0)+f'(0)x=(1+0)^{1/3}+\dfrac x{3(1+0)^{2/3}}
L(x)=1+\dfrac x3

which means we have

\sqrt[3]{0.96}\approx L(0.96)=1+\dfrac{0.96}3=1.32

\sqrt[3]{1.02}\approx L(1.02)=1+\dfrac{1.02}3=1.34

Compare to the actual values of

\sqrt[3]{0.96}\approx0.9864

\sqrt[3]{1.02}\approx1.0066
4 0
3 years ago
If one circle has a diameter of 20 cm and a second circle has a diameter of 40 cm, what is the ratio of the area of the larger c
taurus [48]

Answer:

The ratio of the area of the larger circle to the area of the smaller circle will be: 4/1 or 4:1        

Step-by-step explanation:

The diameter of a larger circle = d = 40 cm

                                                 r = d/2 = 40/2 = 20 cm

The area of the larger circle = πr²

                                               = 3.14 (20)²

                                                = 3.14 × 400

                                                 = 1256 cm²

The diameter of a smaller circle = 20 cm

                                                   r = d/2 = 20/2 = 10 cm

The area of the smaller circle = πr²

                                                 = 3.14 (10)²

                                                 = 3.14 × 100

                                                 = 314 cm²

Thus,

The area of the larger circle = 1256 cm²

The area of the smaller circle = 314 cm²

Therefore,

The ratio of the area of the larger circle to the area of the smaller circle will be computed as:

  • 1256:314  or   1256/314

reducing the ration into a simpler form

  • 1256/314 = 4/1

Thus, the ratio of the area of the larger circle to the area of the smaller circle will be: 4/1 or 4:1        

6 0
3 years ago
For which situations is it appropriate to use a sample? Choose all that apply.
uranmaximum [27]

Answer:

What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?

Should the speed limit be decreased on the highway connecting two large cities?

How many pedestrians would use a walkway built over a busy road?

Step-by-step explanation:

We use samples when using an entire population is not feasible.

It is not reasonable to ask every pick-up truck driver what they want their next purchase to be; there are too many owners of pick-up trucks.  This means we should use a sample.

Many people drive a highway that connects two large cities.  It is not reasonable to survey every person that drives it, so we should use a sample.

On a busy road, we may have many pedestrians; this means we should use a sample instead of the entire population.

8 0
4 years ago
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Sergeu [11.5K]

This is what's called an 'and' probability because we are looking for the probability that die 1 rolls an odd number <em>and </em>die 2 rolls an odd number.

1, 2, 3, 4, 5, 6

Out of those numbers on a die, 3 of them are odd. So the probability that die 1 rolls an odd number is 3/6 and the probability that die 2 rolls an odd number is also 3/6.

And means multiply (most of the time), so to find the probability that both dice show an odd number, we will multiply 3/6 x 3/6.

3/6 x 3/6 = 9/36 = 1/4

Hope this helps! :)

3 0
4 years ago
Can you please help me with this question
Degger [83]

Answer:

  B

Step-by-step explanation:

The table that represents a function will have <em>no x-values repeated</em>.

  A. 4 is repeated -- not a function

  B. all x-values are unique -- this is a function

  C. 2 is repeated -- not a function

  D. 3 is repeated -- not a function

5 0
3 years ago
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