Inflection point is the point where the second derivative of a graph is zero.
y = (x+1)arctan xy' = (x+1)(arctan x)' + (1)arctan xy' = (x+1)/(x^2+1) + arctan xy'' = (x+1)(1/(1+x^2))' + 1/(1+x^2) + 1/(1+x^2)y'' = (x+1)(-1/(1+x^2)^2)(2x)+2/(1+x^2)y'' = ((x+1)(-2x)+1+x^2)/(1+x^2)^2y'' = (-2x^2-2x+2+2x^2)/(1+x^2)^2y'' = (-2x+2)/(1+x^2)^2
Solving for point of inflection: y'' = 00 = (-2x+2)/(1+x^2)^20 = -2x+2x = 1y(1) = (1+1)arctan(1) = 2 * pi/4 = pi/2
Therefore, E(1, pi/2).
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The answer is 28
Hope this helped!!
Answer:
Mia and her family went to dinner, and the bill, including tax, came to $54.65. Mia suggested giving the server a gratuity of about 20 percent of the bill.
If they give a gratuity of 20 percent, what would be the tip rounded to the nearest dollar?
✔ $11
If they give a gratuity of 20 percent, rounded to the nearest dollar, what is the total cost of the dinner, including the tip?
✔ $65.65
Step-by-step explanation:
Minimum=25
first quartile= 30
Third quartile=45
Maximum=55
You could use a calculator.. or if it is already in distributive property then just add it up
