Answer:
f(x) = x^3 -2x^2 -3x +7
Step-by-step explanation:
Cubic polynomial regression using your favorite tool (graphing calculator, spreadsheet, or web site) will tell you the interpolating polynomial is ...
f(x) = x^3 -2x^2 -3x +7
_____
You can use Lagrange polynomial interpolation. It gives the function as the sum of four factored cubics:
Or, you can write equations for the coefficients a, b, c, d of ...
ax^3 +bx^2 +cx +d = f(x)
These would be ...
a + b + c + d = 3
8a +4b +2c +d = 1
27a +9b +3c +d = 7
64a +16b +4c +d = 27
Your friendly linear equation solver will tell you ...
(a, b, c, d) = (1, -2, -3, 7) . . . matches the equation shown above
Answer:
11 left
Step-by-step explanation:
The total number of houses made
25+ 49 = 74
They sold 63
74-63 =11
There are 11 left
One brother Jon has earned more than his brother Gabe. Jon's 9 is the hundreds place and Gabe's 9 is in the tens place. This therefore more signifies that Jon has earned a higher number of money.
Answer:
So F(x+3) = (x+3+5)/2 = (x+8)/2
Step-by-step explanation:
Given F(2x-1) = x+2
Put 2x-1 = y=> x = (y+1)/2
Hence F(y) = (y+1)/2 +2 = (y+5)/2
So F(x) = (x+5)/2
So F(x+3) = (x+3+5)/2 = (x+8)/2.
Answer:
<em>f</em> has no critical points.
Step-by-step explanation:
We are given:
A function has critical points whenever its derivative equals 0 or is undefined.
Differentiate the function:
Since this will never be undefined, solve for its zeros:
Hence:
Recall that the value of sine is always between -1 and 1.
Thus, no real solutions exist.
Therefore, <em>f</em> has no critical points.
