I think the answer is 62 cm2
Answer:
<em>i: </em>x=-2, x=1
<em>ii: </em>x=-1/2
Step-by-step explanation:
Quadratic form:
You solve <em>i </em>by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

<em>"first"</em> would be
, which would equal 
<em>"outside"</em> would be
, which would equal 
<em>"inside"</em> would be
, which would equal 
<em>"last" </em>would be
, which would equal 
Now you need to combine the terms so that they are one after the other

Combine like terms, and you should get:

i Solution
<em>You need to get the variable by itself.</em>
<em>Subtract two from both sides</em>

<em>Add one to both sides.</em>

ii Solution
<em>Add all the terms.</em>

a. Use the mean value theorem. 16 falls between 12 and 20, so

(Don't forget your units - 5 m/min^2)
b.
gives the Johanna's velocity at time
. The magnitude of her velocity, or speed, is
. Integrating this would tell us the total distance she has traveled whilst jogging.
The Riemann sum approximates the integral as

If you're not sure how this is derived: we're given 5 sample points, so we can cut the interval [0, 40] into 4 subintervals. The lengths of each subinterval are 12, 8, 4, and 16 (the distances between each sample point), and the height of the rectangle approximating the area under the plot of
is determined by the value of
at each sample point, 200, 240, |-220| = 220, and 150.
c. Bob's velocity is given by
, so his acceleration is given by
. We have

and at
his acceleration is
m/min^2.
d. Bob's average velocity over [0, 10] is given by the difference quotient,
m/min
Answer:
-130.8
Step-by-step explanation:
The average of the two slope values is ...
(-148.8 -112.8)/2 = -261.6/2 = -130.8
The slope of the tangent line at t=15 is approximately -130.8.
The answer is the first option, 3/1