Answer:
0.258819045...
Step-by-step explanation:
just plug it into a calculator
Answer:
y=−1/7
for the picture is y=-57/7
Step-by-step explanation:
<h3>1. 8= -7y +7</h3>
Switch:sides
-7y+7=8
subtract 7 from both sides
-7y=1
divide both sides by -7
y=−1/7
<h3>2.so for 8/y+7=-7</h3>
multiply both sides by (y+7)
8/y+7(y+7)=-7(y+7)
simplify 8=-7(y+7)
flip
-7(y+7)=8
divide both sides by -7
y+7=-8/7
subtract 7 from both sides
and simplify
y=-57/7
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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