Someone else asked the same question and got something written out for them. on another site, I found out that the first one was <span>: 8(14.13)=113.04</span>
Please note that your x^3/4 is ambiguous. Did you mean (x^3) divided by 4
or did you mean x to the power (3/4)? I will assume you meant the first, not the second. Please use the "^" symbol to denote exponentiation.
If we have a function f(x) and its derivative f'(x), and a particular x value (c) at which to begin, then the linearization of the function f(x) is
f(x) approx. equal to [f '(c)]x + f(c)].
Here a = c = 81.
Thus, the linearization of the given function at a = c = 81 is
f(x) (approx. equal to) 3(81^2)/4 + [81^3]/4
Note that f '(c) is the slope of the line and is equal to (3/4)(81^2), and f(c) is the function value at x=c, or (81^3)/4.
What is the linearization of f(x) = (x^3)/4, if c = a = 81?
It will be f(x) (approx. equal to)
Answer:
$ 68.
Step-by-step explanation:
Original price 100
reduce price 15% ( leaving it at 85% of original price ) = 100 * .85
reduce it further 20%
100 * .85 * .80 = $ 68
So the culture banner size has length x, width x (since it is square)
The sports banner has length x+12, width x.
The area of the sports banner is length x width = x(x+12) = x²+12x.
Now, lets look at the tiles.
- The monomial, x, a factor of the expression is the width of the sports banner.
- The binomial (x+12) is the length of the spots banner (this is given!)
- The second degree term of the expression x²+12 is x², the area of the culture banner
- The first degree term of the expression x²+12x is 12x, it represents the increase in area, since the area went from x² to x²+12x
