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2 years ago

does the following represent a function that can be represented using the equation =+? how would do you know

Mathematics

1 answer:

scoray [572]2 years ago

3 0

Answer: It's not a function because the line is curved, and it has an exponent in the equation which makes the line curved instead of straight which will make x repeat.

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Consider the system x' = rx + x3 - x5, which exhibits a pitchfork bifurcation.

trapecia [35]

Answer:

rs = -3/16 and the three minima x₁, x ₂ and x₄ fall at the value of integrating curve C

Step-by-step explanation:

The answer is found in the attachment.

5 0

3 years ago

Cos (90-theta) • cosec90-theta) =tano. How?

denis-greek [22]

Answer:

______________________________________________________

TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-

For any right angled triangle with one angle α ,

$\cos (90 - \alpha ) = \sin \alpha$ or $\sin(90 - \alpha ) = \cos\alpha$

$cosec \: (90 - \alpha ) = \sec\alpha$ or $\sec(90 - \alpha ) = cosec\:\alpha$

SOME GENERAL TRIGNOMETRIC FORMULAS :-

$\sin \alpha = \frac{1}{cosec \: \alpha }$ or $cosec \: \alpha = \frac{1}{\sin \alpha }$

$\cos \alpha = \frac{1}{\sec \alpha }$ or $\sec \alpha = \frac{1}{\cos \alpha }$

______________________________________________________

Now , lets come to the question.

In a right angled triangle , let one angle be α (in place of theta) .

So , lets solve L.H.S.

$\cos (90 - \alpha ) \times cosec(90 - \alpha )$

$=> sin\alpha \times \sec\alpha$

$=> \sin\alpha \times \frac{1}{\cos\alpha }$

$=> \frac{\sin\alpha }{\cos\alpha }$

$=> \tan\alpha$ = R.H.S.

∴ L.H.S. = R.H.S. (Proved)

3 0

3 years ago

What is the Slope of a line that passes through the points (-3,5) and (1,7) ?

Naya [18.7K]

Find the change in the y coordinates

7-5=2

Find the change in the x coordinates

1--3 or 1+3= 4

Divide the changes in the y and x coordinates

2/4= 1/2

The slope is 1/2. Hope this helps!

6 0

3 years ago

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Find the common difference of the arithmetic sequence 4, 10, 16,

DIA [1.3K]

Answer:

10it is 10

Step-by-step explanation:

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3 years ago

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What could be the 4 angle measures of a quadrilateral