Answer:
x = -16 or x = 6
Step-by-step explanation:
To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.
x² + 10x - 96 = 0
We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.
(x + 16)(x - 6) = 0
If a product of two factors equals zero, then one factor or the other or both must equal zero.
x + 16 = 0 or x - 6 = 0
x = -16 or x = 6
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).
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Here is the equation:
Since 4 is next to the parentheses, you have to multiply everything in the parentheses by 4.
First multiply 3x by 4:
Now multiply 2 by 4:
Now add them together:
Your answer is <u>12x + 8</u>
Answer:
x = -4.604
Step-by-step explanation:
Here, we want to get the value of x
We start by dividing through by 5
e^(2x + 11) = 30/5
e^(2x + 11) = 6
Writing this in natural logarithm form, we have;
ln 6 = 2x + 11
2x + 11 = 1.792
2x = 1.792-11
2x = -9.208
x = -9.208/2
x = -4.604
