Answer: the maximum is 25.
Step-by-step explanation: a max/min can occur on the endpoints of a function and critical points of the function's derivative.
f(x)=x^4-x^2+13
f'(x)=4x^3-2x
The critical points of f'(x) occur when f'(x) is zero or undefined. f'(x) is not ever undefined in this case, so we just need to find the x values for when it's zero.
0=4x^3-2x
x=.707, -.707
Now that we have the critical points of f'(x) (.707 and -.707) and endpoints (-1 and 2), we can plug in these x values into the original function to determine its maximum. When you do this you'll find that the greatest y value produced occurs when x=2 and results in a max of 25.
Answer:
3 boys may be answer of this question
Answer:
Yes, (x - 3) is a factor of P(x) and 3 is a zero or root of P(x)
Step-by-step explanation:
Determine whether or not (x - 3) is a factor by using synthetic division with +3 as the divisor. The coefficients of the polynomial p(x) are {2 -5 -4 0 9}.
Setting up synthetic division:
3 / 2 -5 -4 0 9
6 3 -3 -9
-------------------------------
2 1 -1 -3 0
Since the remainder is zero (0), we know that 3 is a root of the polynomial P(x) and that (x - 3) is a factor of said polynomial.
Answer:
I think it's d
Step-by-step explanation:
Nit 100% sure but if nit its b