Answer:
<em>The equation of the tangent line </em>

Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given function y = x cot (x) ....(i)
Differentiating equation (i) with respective to 'x' , we get

<u><em>Step(ii):-</em></u>
The slope of the tangent line


We will use trigonometry formulas



Now the slope of the tangent


<u><em>Step(iii):-</em></u>
Given
Substitute
in y = x cot (x)


The point of the tangent line 
<em>The equation of the tangent line </em>


Answer:
Step-by-step explanation:
9+10=19.
Replace the 0 in the ten with the 9.
These triangles are congruent because of SAS so therefore 3x-5 =2x+1 and x=6
The length of the radius of the cylinder is 2 units.
The lateral surface area of a cylinder = <span>
2πrh</span>
where, r = base radius
h = height of cylinder
Now, height of cylinder = 2r units
⇒ 16 π = 2×π×r×<span>h
</span>⇒ 16 π = 2×π×r×2r
⇒

= 4
⇒ r = 2 units
Thus, radius is 2 units.
Answer:
Student A: Testing plant growth in different types of soils
Student B: Comparing the water level in a lake during different times of the year
Step-by-step explanation:
Student A because it requires a hypothesis
Student B because it requires a hypothesis Student
A because it can be done in natural settings
Student B because it can be done in natural settings