Which componets are part of all scientific investigations

Advanced Placement (AP)

1 answer:

ozzi2 years ago

8 0

Which components are part of all scientific investigations?

Check all that apply.

scientific question

hypothesis variables

control procedure

conclusion

Answer:

Conclusion

control procedure

scientific question

Explanation:

A Scientific method/investigation is simply the steps that are taken in order to find or get new material or new information that will upgrade already existing information or make it better understood.

The components of a scientific investigation/method are conclusion, control procedure, and scientific question because they are involved in the scientific process of obtaining new information.

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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:

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

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: