1)For h(x)=3x^2+4x+2, determine the average rate of change of h(x) with respect
ID: 2832336 • Letter: 1
Question
1)For h(x)=3x^2+4x+2, determine the average rate of change of h(x) with respect to x for the interval 5_<x_<7, the find the instantaneous rate of change of h(x) at the midpoint of this interval.
What is the difference between finding an average rate of chnage of a polynomial and finding an instantaneous rate of chnage of the same polynomial model?
2)The blood pressure of a person at rest is described by the formula P=100+20 sin 6t, where P is the pressure, in millimeters of mercury (mmHG), and t is the time, in seconds.
a)Determine the rate at which the heart beats, in beats per minute, assuming that one complete cycle of the pressure function corresponds to one heartbeat.
b)Determine the maximum and minimum values of the pressure. Are these healthy values for blood pressure?
C)How is the formula for blood pressure likely to change during times of physcial exertion or while taking this Functions test?
Explanation / Answer
1)
an average rate of change of a polynomial is the average taken b/w 5 to 7 using only the value oh h(x) at 5 and 7
and an instantaneous rate of chnage of the same polynomial model is the rate of change of the value at given instant or point...
2)
a)
here w=6 = 2pi/t
t=2pi/6 =1.046 sec in one cycle
so in one min beats are 57.32
b)max =120
min =80
yes they are normal but moving awway from the limits will be critical
c)
P=A+B sin wt
A>100
B=20
w>6
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