The value of v ( 2 ) , v ( 12 ) , and v ( 28 ) if the speed of the Intel processors in megahertz during the period 1970 − 2000 could be modeled by the function v ( t ) = { 0.12 t 2 + 0.04 t + 0.2 if 0 ≤ t ≤ 12 1.1 ( 1.22 ) t if 12 ≤ t ≤ 26 400 t − 10 , 200 if 26 ≤ t ≤ 30 where t is time in years since the start of 1970 . Also, interpret the result.
The value of v ( 2 ) , v ( 12 ) , and v ( 28 ) if the speed of the Intel processors in megahertz during the period 1970 − 2000 could be modeled by the function v ( t ) = { 0.12 t 2 + 0.04 t + 0.2 if 0 ≤ t ≤ 12 1.1 ( 1.22 ) t if 12 ≤ t ≤ 26 400 t − 10 , 200 if 26 ≤ t ≤ 30 where t is time in years since the start of 1970 . Also, interpret the result.
Solution Summary: The author calculates the value of the function v(2), if the speed of Intel processors in megahertz during the period 1970-2000 is modeled.
To calculate: The value of v(2),v(12), and v(28) if the speed of the Intel processors in megahertz during the period 1970−2000 could be modeled by the function v(t)={0.12t2+0.04t+0.2 if 0≤t≤121.1(1.22)t if 12≤t≤26400t−10,200 if 26≤t≤30 where t is time in years since the start of 1970. Also, interpret the result.
(b)
To determine
The technology formula for v if the speed of the Intel processors in megahertz during the period 1970−2000 could be modeled by the function v(t)={0.12t2+0.04t+0.2 if 0≤t≤121.1(1.22)t if 12≤t≤26400t−10,200 if 26≤t≤30 where t is time in years since the start of 1970.
(c)
To determine
To graph: The sketch of v using technology and generate a table of values for v(t) with t=0,2,...,30 where the function is defined by v(t)={0.12t2+0.04t+0.2 if 0≤t≤121.1(1.22)t if 12≤t≤26400t−10,200 if 26≤t≤30 where t is time in years since the start of 1970.
(d)
To determine
To calculate: The time to the nearest year, when the speed of the processor reaches 500
MHz if the speed of the Intel processors in megahertz during the period 1970−2000 could be modeled by the function v(t)={0.12t2+0.04t+0.2 if 0≤t≤121.1(1.22)t if 12≤t≤26400t−10,200 if 26≤t≤30 where t is time in years since the start of 1970.
The graph of f', the derivative of f, is shown in the graph below. If f(-9) = -5, what is the value of f(-1)?
y
87 19
6
LO
5
4
3
1
Graph of f'
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2
3
4 5
6
7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
564%
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