How Do You Evaluate The Integral Of Absolute Value Of X 5 From 0 To 10 By Find

Using integrals:

Since the |x-5| is equal to a positive value when x ranges from 5 to 10 but equal to a negative value from 0 to 5, we have to split the integral into two parts. Notice in the previous answer how the graph creates two triangles.

Here’s what we have: ##int_0^5- (x-5) dx## + ##int_5^10 (x-5) dx##

When you integrate using your you obtain:##-1/2 x^2 + 5x## from 0 to 5 + ##1/2 x^2 – 5x## from 5 to 10.

Substituting upper bound minus lower bound for the first integral results in ##[-1/2(25)+5(5)] – [-1/2 (0) +5(0)]## which equals ##25/2##.

Doing the same for the second integral gives us ##[1/2(100)-5(10)] – [1/2(25)-5(5)]## which equals ##25/2##.

Add the two integral values for the total area: ##25/2+25/2=25##

Hope this helps.

 
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How Do You Explain The Highly Politicized Nature Of Share Issue Privatization Si

How do you explain the highly politicized nature of share issue privatization (SIP) pricing and share allocation policies? Are governments maximizing offering proceeds, or are they pursuing primary political and economic objectives? APA format, 250 words, references

How do you explain the highly politicized nature of share issue privatization (SIP) pricingand share allocation policies? Are governments maximizing offering proceeds, or arethey pursuing primary…

 
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How Do You Express A Slack Variable

how do you express a slack variable? the homework problem is “Ace cabinets cost $40 each and excel cabinets cost $80. no more than $560 can be spent on cabinets. Express this fact with a slack variable”

 
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How Do You Express In Terms Of Ln2 And Ln3 Given Ln 3 Sqrt 2

##ln(3sqrt(2)) = ln(3) + 1/2ln(2)##

Using the properties that ##ln(ab) = ln(a) + ln(b)## and ##ln(a^x) = xln(a)##, we have:

##ln(3sqrt(2)) = ln(3)+ln(sqrt(2))##

##=ln(3) + ln(2^(1/2))##

##=ln(3) + 1/2ln(2)##

 
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How Do You Express Ln1 5 In Terms Of Ln2 And Ln3

##ln1.5 = ln(3) – ln 2##

##ln1.5 = ln3 – ln 2##

Remember that

##1.5 = 3/2##.

Then

##ln(1.5) = ln(3/2)##

Also, remember that

##ln(x/y) = lnx -lny##

So

##ln(1.5) = ln(3) – ln2##

 
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How Do You Feel About Becoming A Social Change Agent Leader And Advocate What Ar

How do you feel about becoming a social change agent, leader, and advocate? What areas of interest do you have that are related to bringing about a society committed to the mental health and welfare of its members? How might you inspire current and future students and colleagues so that they relate to and become engaged in doing something to bring about this vision? How do you plan to remain a competent human services professional?

Human services professionals are committed to understanding and addressing professional and societal issues. As you continue on your journey as a human services professional, it is your responsibility to constantly engage in professional development. This engagement might include continuing education courses, conferences, graduate degrees, certifications, and research, to name a few.

To prepare:

  • Identify at least three personal and/or professional commitments that you are willing to make as a result of your understanding of the need for social change, leadership, and advocacy.
  • Consider steps you might take in your professional development to become a more effective social change agent, leader, and advocate.
  • Consider how your new understanding might impact your future work as a human and social services professional.

With these thoughts in mind:

By Day 4

Post a brief description of at least three personal and/or professional commitments you selected. Explain how your understanding of social change, leadership, and advocacy has impacted your commitments and your willingness to make them. Explain the next steps you might take in your professional development to become a more effective social change agent, leader, and advocate. Then, explain how your commitment might impact your future work as a human and social services professional. Be specific, and provide examples to illustrate your points.

 
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How Do You Feel About Developing The Emotional Qualities Of Yourself And Other P

How do you feel about developing the emotional qualities of yourself and other people in an organization as a way to be an effective leader?

Do you agree that people have a capacity for developing their minds and hearts beyond their current competency? Can you give an example?

 
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How Do You Find A Tangent Line Parallel To Secant Line

You can find a tangent line parallel to a secant line using the Mean Value Theorem.

The Mean Value Theorem states that if you have a continuous and differentiable function, then

##f'(x) = (f(b) – f(a))/(b – a)##

To use this formula, you need a function ##f(x)##. I’ll use ##f(x) = -x^3## as an example.

I’ll also use ##a = -2## and ##b = 2## for the interval for the secant line. This is the line that passes through the points ##(-2, 8)## and ##(2, -8)##.

So, we know that the slope of this line will be ##(-8 – 8)/(2 – (-2)) = -4##.

To find the tangent lines parallel to this secant line, we will take the function’s derivative, ##f'(x)##, and set it equal to ##-4##, then solve for ##x##.

##-3x^2 = -4##

Solving this for ##x## gives us: ##x = ±sqrt(4/3)##.

So, the lines tangent to ##y = -x^3## at ##x = sqrt(4/3)## and ##x = -sqrt(4/3)## must be parallel to the secant line passing through ##x = 2## and ##x = -2##.

 
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How Do You Find A Unit Vector That Has The Same Direction As The Given Vector 5i

Divide each term by the magnitude of the vector to get:##color(white)(“XXX”)##unit vector: ##color(green)(-5/sqrt(106)i+9/sqrt(106)j)##

Using the Pythagorean Theorem:##color(white)(“XXX”)abs(-5i+9j) =sqrt((-5)^2+9^2)=sqrt(25+81)=sqrt(106)##

 
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How Do You Find All Unit Vectors Orthogonal To V I J K

A generalised unit vector is:

##mathbf u = 1/(sqrt( 2 (alpha_2 ^2 + alpha_3 ^2 + alpha_2 alpha_3)))((- alpha_2 – alpha_3),(alpha_2),(alpha_3))##

There are an infinite number of vectors thare are orthogonal to ##mathbf v = ((1),(1),(1))##.

If ##mathbf alpha## is one such vector, we know from that ##mathbf v * mathbf alpha = 0 implies alpha_1 + alpha_2 + alpha_3 = 0##

A generalised vector is therefore:

##mathbf alpha = ((- alpha_2 – alpha_3),(alpha_2),(alpha_3))##

A generalised unit vector is:

##mathbf u = 1/(sqrt( 2 (alpha_2 ^2 + alpha_3 ^2 + alpha_2 alpha_3)))((- alpha_2 – alpha_3),(alpha_2),(alpha_3))##

 
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