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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Answer:
A.
Step-by-step explanation:
because as X approaches infinity, the negative sign will cause it to go opposite of X.
The number would be 1 because
3+1= 4x4= 16
Given the compound inequality:
Let's find the equivalent form of the inequality.
To find the equivalent form, let's simplify the inequality.
SInce it is a compund inequality, we are to seperate the inequalities.
Simplify the first two inequalities, then simplify the last two inequalities.
We have:
First two inequalities: -44 > -2x - 8
Last two inequalities: -2x - 8 ⩾ -8
Let's simplify both
Therefore, the equivalent form is:
ANSWER:
You need to use all of them until you find the answer so lets fo this!
a. (-10,-12) x=-10 y=-12
3x+2y=6
3*(-10)+2*(-12)=6
-30-24=6
-54=6
This is incorrect,now we try the othe options
b.(10,12) x=10 y=12
3x+2y=6
3*10+2*12=6
30+24=6
54=6
This is incorrect then we try the other option
c. (-10,12) x=-10 y=12
3x+2y=6
3*(-10)+2*12=6
-30+24=6
6=6
And this is the correct answer. So the answer is c. (-10,12)