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Answer: We can plot the graph with help of below explanation.
Step-by-step explanation:
Since, given equation of polynomial,
End behavior : Since, the leading coefficient of the polynomial is positive and even.
Therefore, the end behavior of the polynomial is,
as
And, as
Points of the curve : since, P(4) = 0
Therefore, (x-4) is the multiple of P(x),
And we can write,
Thus, the roots of equation are 4, 2, -1 and -2.
Therefore, x-intercepts of the polynomial are (4,0) (2,0) (-1,0) and (-2,0)
Also, the y-intercept of the polynomial is ( 0,16)
Thus, we can plot the graph with help of the above information.
Answer:
False
Step-by-step explanation:
In this case, i woudnt reccomend to use integration by parts, becuase you are not simplifying the expression by doing an integration and a derivation. It is not easy to integrate 1/x³+1, and if you derivate it, then a natural logarithm would appear, and the integral wont be easier after this parts step.
It is a better idea to use integration by substitution. Note that if you replace x³+1 by a variable y, we have that dy = 3x² dx. We can easily make a 3xdx appear in the integral by multiplying and dividing by 3, solving the integral easily:
(Note that, if x ranges from 0 to 1, then u = x³+1 ranges from 0³+1 = 1 to 1³+1 = 2)