Answer:
f'(N) = a(k² - N²)/(k² + N²)
The function increases in the interval
(-k < N < k)
And the function decreases everywhere else; the intervals given as
(-∞ < N < -k) and (k < N < ∞)
Step-by-step explanation:
f(N)=aN/(k²+N²)
The derivative of this function is obrained using the quotient rule.
Then to determine the intervals where the function is increasinumber and decreasing,
The function increases in intervals where f'(N) > 0
and the function decreases in intervals where f'(N) < 0.
This inequality is evaluated and the solution obtained.
The solution is presented in the attached image.
Hope this Helps!!!
The coordinates for the pre-image are P(1,3), Q(4,4), R(4,1), and S(1, -1).
The transformation is 4 units left, and 4 units down.
That means we must subtract 4 units to x-coordinates, and subtract 4 units from y-coordinates. So, the image has coordinates P'(-3,-1), Q'(0,0), R'(0, -3), and S'(-3, -5).
The image below shows the image and pre-image.
Answer:
Part A: Describe how you can decompose this shape into triangles: If you draw a line from each vertex to the vertex at the opposite side of the hexagon, you will form 6 triangles.
Part B: What would be the area of each triangle: 62.4
Part C: Using your answers above, determine the area of the table's surface: 374 .4
Step-by-step explanation:
Part A: Describe how you can decompose this shape into triangles: If you draw a line from each vertex to the vertex at the opposite side of the hexagon, you will form 6 triangles.
Part B: What would be the area of each triangle: bxh /2
12 x 10.4 /2
Part C: Using your answers above, determine the area of the table's surface: 374.4
Answer:
a.
b.
Step-by-step explanation:
Hope it is helpful....
(12 + 2v + 13v^3) + (13v^3 + 7 + 7v)
12 + 2v + 13v^3 + 13v^3 + 7 + 7v - drop the parenthesis since adding
13v^3 + 13v^3 + 7v + 2v + 12 + 7 - Group by like terms
26v^3 + 9v + 19 - combine like terms