Answer:

Step-by-step explanation:

Answer:
$26
Step-by-step explanation:
78 divided by 3
The slope of the tangent line to the curve at (8, 2) is given by the derivative
at that point. By the chain rule,

Differentiate the given parametric equations with respect to
:


Then

We have
and
when
, so the slope at the given point is
.
The normal line to the same point is perpendicular to the tangent line, so its slope is +4. Then using the point-slope formula for a line, the normal line has equation

Alternatively, we can eliminate the parameter and express
explicitly in terms of
:

Then the slope of the tangent line is

At
, the slope is again
, so the normal has slope +4, and so on.
Answer:
30.3
Step-by-step explanation:
First we find the area of the trapezoid. The formula for that is (b1+b2)/2(h)
2+10=12
12/2=6
6x4=24
To find the area of a semicircle we do πr²/2
2^2=4
4x3.14=12.56
12.56/2=6.28
24+6.28=30.28
That is extremely close to 30.3 so the paper must be a bit off.