Todd had 6 gallons of gasoline in his motorbike. After driving 150 miles, he had 3 gallons left. Compute the slope, or rate of
2 answers:
Solution :
Give that,
Todd had 6 gallons of gasoline in his motorbike.After driving 150 miles, he had 3 gallons left.
When Todd had 6 gallons of gasoline in his motorbike he drived 0 miles,
And When he had 3 gallons left , he had drived 150 miles.
Slope or rate of change =
Slope or rate of change of gasoline is negative which means gasoline is decreasing with increase in miles.
Slope or rate of change of gasoline= - 0.02 gallons/mile
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Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width =
Area = l*w =
Use derivative test
I derivative =
II derivative =
Equate I derivative to 0 and consider positive value only since we want maximum
p =
Thus width=
Length =
Width =