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konstantin123 [22]
2 years ago
13

An angle is to collinear rays with a common endpoint. Find an example that contradicts this definition. How would you change the

definition to make it more accurate?
Mathematics
1 answer:
Alik [6]2 years ago
3 0

A contrasting illustration: The rays do not create an angle when they are parallel to a shared terminal. The group lines up.

A phrase that is not defined is: The plane is an example of a phrase without a formal definition. Because it provides the measurement parameter, a plane relates to angles.

<h3>What is a ray?</h3>

Each line seems to be a little aperture through which light (and heat) may appear to pour from the sun or any other luminous substance.

In conclusion, A correct definition would be: When two non-collinear rays with the same endpoint cross, an angle results. A contrasting illustration: The rays do not create an angle when they are parallel to a shared terminal.

Read more about rays

brainly.com/question/23281551

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Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5
lakkis [162]

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer:  v = 5v + 4u + 1.5sin(3t),

  • 0
  • 1
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Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t)        where u'(1) = 2.5   u(1) = 1

v represents the "velocity function"   i.e   v = u'(t)

As v = u'(t)

<em>u' = v</em>

since <em>u' = v </em>

v' = u"

v'  = 5u' + 4u + 1.5sin(3t)   ( given that u" - 5u' - 4u = 1.5sin(3t) )

    = 5v + 4u + 1.5sin(3t)  ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt \left[\begin{array}{ccc}u&\\v&\\\end{array}\right]= \left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]  \left[\begin{array}{ccc}u&\\v&\\\end{array}\right] + \left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]  = \left[\begin{array}{ccc}1\\2.5\\\end{array}\right]

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