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Setler79 [48]
3 years ago
8

Match each description to the trait it relates to.

Advanced Placement (AP)
1 answer:
olya-2409 [2.1K]3 years ago
3 0

Answer:

Jessica is being fair><u><em>Even though her friend was looking</em></u>

<u><em>forward to the project, Jessica</em></u>

<u><em>assigned it to somebody whom she</em></u>

<u><em>thought was better suited.</em></u>

Jessica is using a positive method of resolving conflicts><u>For resolving a conflict, Jessica confronts</u>

<u>the issue and makes a note of all the</u>

<u>related concerns before making a judgment.</u>

Jessica is being tactful><u>Jessica dealt with some of her colleagues</u>

<u>in a way that made them realize their</u>

<u>mistake without leaving a negative after effect</u>

Jessica is using a negative method of resolving conflicts><u>When in a conflict, Jessica simply avoids the situation and prefers not to deal with it.</u>

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Integral of tan(x)*ln(cos(x))
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Answer:

\int {tan(x)*ln(cos(x))} \, dx = -\frac{ln^2cos(x)}{2} + c

Explanation:

Given

tan(x)*ln(cos(x))

Required

Integrate

This is represented as:

\int {tan(x)*ln(cos(x))} \, dx

Let

u =- ln(cos(x))

So that:

\frac{du}{dx} = \frac{sin(x)}{cos(x)}

Make dx the subject

dx = \frac{cos(x)}{sin(x)}du

\int {tan(x)*ln(cos(x))} \, dx becomes

\int {-u *tan(x)*\frac{cos(x)}{sin(x)}du

Express tan x as sin x/ cos x

\int {-u *\frac{sin(x)}{cos(x)}*\frac{cos(x)}{sin(x)}du

\int {-u du

-\int {u du

Apply power rule

-\frac{u^{1+1}}{1+1} + c

-\frac{u^{2}}{2} + c

Substitute u =- ln(cos(x))

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