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trapecia [35]
3 years ago
7

  In the Freudian scheme of personality development, a/an _______ phase immediately precedes the emergence of a genital stage.  

   
Advanced Placement (AP)
1 answer:
Firlakuza [10]3 years ago
7 0
The Latency phase immediately precedes the genital stage, from around 6 years old to puberty where sexuality is highly repressed 
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The graph of x^2=-2+y+5cosy is shown for y=11
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(a)

We have been given an equation x^{2}=-2+y+5cosy. Upon taking derivative of this equation with respect to x on both the sides, we get:

2x=0+\frac{dy}{dx}+5(-siny)\frac{dy}{dx}\\2x=(1-5siny)\frac{dy}{dx}\Rightarrow \frac{dy}{dx}=\frac{2x}{1-5siny}

(b)

In order to write the equation of tangent line, we need to find the slope of the line. We know that point (3,11) lies on the graph. Therefore, we write the slope of the tangent as:

\text{Slope}=\frac{dy}{dx}=\frac{2(3)}{1-5sin(11)}=1

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y-y_{1}=m(x-x_{1})\Rightarrow y-11=1(x-3)\\y-11=x-3\\y=x+8

(c)

We know that slope of tangent is given as \frac{dy}{dx}=\frac{2x}{1-5siny}. The tangent will be vertical when denominator of slope is zero, that is:

1-5siny=0\Rightarrow siny=\frac{1}{5}\Rightarrow y=arcsin(\frac{1}{5})\\y=1.732,1.525, 3.063 \text{ etc.}

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