Y = 2x^2 - 13x + 5
dy/dx = 4x - 13
At x = 3, dy/dx = 4(3) - 13 = 12 - 13 = -1
and y = 2(3)^2 - 13(3) + 5 = 2(9) - 39 + 5 = 18 - 34 = -16
The tangent line at x = 3, passes through the point (3, -16) and has a slope of -1
y - (-16) = -1(x - 3)
y + 16 = -x + 3
y = -x - 13 is the required equation.
Answer:
24 cm
Step-by-step explanation:
Perimeter of equilateral triangle = 12 cm
Therefore, measure of one side of equilateral triangle = 12/3 = 4 cm
Perimeter of hexagon = 6 * measure of one side of equilateral triangle
= 6 * 4 = 24 cm
1144 Liters of oil.
For every 5 there is 8 used. So 440/5 = 88. 88 units times 8 is 704. 704 synthetic plus 440 natural is 1144 liters of oil total.
Notice that equality holds when either
or
, so these should be included in the solution set.
Now, since the coefficient of the leading term is positive, we know the parabola opens upward, which means we know that
when
and
, and that
when
.
So the solution set is the interval
.
