The rational function of the provided model. The function p ( x ) = 1.75 x 2 − 15.9 x + 160 represent the amount spent on human resources and q ( x ) = 2.1 x 2 − 3.5 x + 296 represents the total budget in billions of dollars. The graph representing the amount spent on human resources and total budget for the six years is:
The rational function of the provided model. The function p ( x ) = 1.75 x 2 − 15.9 x + 160 represent the amount spent on human resources and q ( x ) = 2.1 x 2 − 3.5 x + 296 represents the total budget in billions of dollars. The graph representing the amount spent on human resources and total budget for the six years is:
The rational function of the provided model. The function p(x)=1.75x2−15.9x+160 represent the amount spent on human resources and q(x)=2.1x2−3.5x+296 represents the total budget in billions of dollars.
The graph representing the amount spent on human resources and total budget for the six years is:
(b)
To determine
To calculate: The percentage of the federal budget spent on human resources in 2010 using the bar graph. The function p(x)=1.75x2−15.9x+160 represent the amount spent on human resources and q(x)=2.1x2−3.5x+296 represents the total budget in billions of dollars. The graph representing the amount spent on human resources and total budget for the six years is:
(c)
To determine
To calculate: The percentage of the federal expenditures spent on human resources in 2010 using the rational function. The function p(x)=1.75x2−15.9x+160 represent the amount spent on human resources and q(x)=2.1x2−3.5x+296 represents the total budget in billions of dollars. The graph representing the amount spent on human resources and total budget for the six years is:
(d)
To determine
To calculate: The equation of the horizontal asymptotes and the percentage of federal budget that will be spent on human resources over time. The function p(x)=1.75x2−15.9x+160 represent the amount spent on human resources and q(x)=2.1x2−3.5x+296 represents the total budget in billions of dollars. The graph representing the amount spent on human resources and total budget for the six years is:
Use Euler's method to numerically integrate
dy
dx
-2x+12x² - 20x +8.5
from x=0 to x=4 with a step size of 0.5. The initial condition at x=0 is y=1. Recall
that the exact solution is given by y = -0.5x+4x³- 10x² + 8.5x+1
Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+4) at (2,6).
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
2
f(x)=8x²+4x-7; slope of the tangent line = -3
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