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2 years ago

If Gary always requests his superior’s advice when solving a problem or making a decision, which type of decision maker is he?

1 answer:

iogann1982 [59]2 years ago

7 0

<span>If Gary always requests his superior’s advice when solving a problem or making a decision, the type of decision maker he is is C. submissive.
He shies away from making the decision on his own, and instead asks for an authority figure to do it for him.
Plungers make rash decisions, evaders avoid making the decision, and fatalists feel that they have absolutely no control over their own decisions.
</span>

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The graph of x^2=-2+y+5cosy is shown for y=11

erik [133]

(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:

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

Therefore, equation of tangent line is:

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

(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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