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Scilla [17]
1 year ago
11

what is the maximum number of relative extrema contained in the graph of this function ? F(x) = 3x^4 - x^2 + 4x - 2

Mathematics
1 answer:
Mademuasel [1]1 year ago
7 0

The maximum number of relative extrema of the given polynomial is; 3

<h3>How to find the maxima of a Polynomial Function?</h3>

When trying to find the maximum number of relative extrema of a polynomial, we usually use the formula;

Maximum number of relative extrema contained in a polynomial = degree of this polynomial - 1.

We are given the Polynomial as;

f(x) = 3x⁴ - x² + 4x - 2

Now, the degree of the Polynomial would be 4. Thus;

Maximum number of relative extrema = 4 - 1

Maximum number of relative extrema = 3

Read more about Polynomial Maximum at; brainly.com/question/13710820

#SPJ1

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<h3>Answer: Choice H)  2</h3>

=============================================

Explanation:

Recall that the pythagorean trig identity is \sin^2 x + \cos^2x = 1

If we were to isolate sine, then,

\sin^2 x + \cos^2x = 1\\\\\sin^2 x = 1-\cos^2x\\\\\sin x = \sqrt{1-\cos^2x}\\\\

We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.

Through similar calculations, \cos x = \sqrt{1-\sin^2x}\\\\

Cosine is also positive in this quadrant.

-------------

So,

\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}\\\\\frac{\sin x}{\sin x}+\frac{\cos x}{\cos x}\\\\1+1\\\\2

Therefore,

\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}=2

is an identity as long as 0 < x < pi/2

5 0
2 years ago
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What is the square route of 600
elena55 [62]

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Step-by-step explanation:

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A number decreased by 14 is equal to 18. What is the number?
Sunny_sXe [5.5K]
The correct answer is 32 because:

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3 0
3 years ago
the sum of three consecutive even integers is 6 subtracted from 4 times the middle number. Find the 3 numbers
anygoal [31]

Answer:

The three consecutive even integers are 4,6,8

Step-by-step explanation:

Let the three consecutive even integers be  2x, 2x+2, 2x + 4

Middle number = 2x +2

2x + 2x+2 + 2x + 4 = 4* (2x+2) - 6

6x + 6 = 4*2x + 4*2 - 6

6x + 6 = 8x + 8 -6

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x = -4/-2

x = 2

The three consecutive even integers are  

2x = 2*2 = 4

2x+2 = 2*2 +2 =4 + 2 = 6

2x + 4 = 2*2+4 = 4+4 = 8

8 0
2 years ago
The next two terms are<br> and
kherson [118]

Answer:

The next two terms are  92 and 105.

Step-by-step explanation:

79 + 13 = 92

92 + 13 = 105

4 0
2 years ago
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