Step-by-step explanation:
3(2x - 3) - 4(2x + 1) <= 26
-2x - 13 <= 26
2x <= -39
x <= -19.5.
we are given
we can find x , y and z
now, we can use arc length formula
now, we can find derivative
now, we can plug values
and we get
...........Answer
For #3, it's 5.4 because you divide the total amount of money made by the amount of money earned per hour.
49.95/9.25=5.4 hours
The degree is 3.
This video explains it pretty well: https://virtualnerd.com/pre-algebra/polynomials-nonlinear-functions/polynomials/monomial-polynomial-degrees/polynomial-degree-definition
Let p(x) be a polynomial, and suppose that a is any real
number. Prove that
lim x→a p(x) = p(a) .
Solution. Notice that
2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .
So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial
long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x –
2.
Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number
such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| <
1, so −2 < x < 0. In particular |x| < 2. So
|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|
= 2|x|^3 + 5|x|^2 + |x| + 2
< 2(2)^3 + 5(2)^2 + (2) + 2
= 40
Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2
+ x − 2| < ε/40 · 40 = ε.
