Answer:

Step-by-step explanation:
The equation of the curve is

To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is 
Then slope would accordingly be

= ∞
For,
, 
Equation of tangent line, in the point slope form, would be 
Answer:
w=6ft
Step-by-step explanation:
72 divided by 12 is 6
Using the formula
A=wl
Solving for w
w=A
l=72
12=6ft
First, you want to set up a proportion.
8/24 = 10/y
Cross multiply to get
240 = 8y, then divide 8 from both sides to get y = 30.
Answer: 56
Step-by-step explanation:
Let's organise our information :
- the radius of the circle is r=14 cm
- we can get the area of the shaded by substracting the area of that triangle from that quarter
The area of the cercle's quarter area is :
The area of the triangle is :
NOw the area of the shaded segment :