Processor Speeds The processor speed, in megahertz (MHz), of Intel processors during the period 1970-2000 could be approximated by the following function of time t in years since the start of 1970: 54 v ( t ) = { 3 t if 0 ≤ t < 20 174 t − 3 , 420 i f 20 ≤ t ≤ 30 How fast and in what direction was processor speed changing in 1995?
Processor Speeds The processor speed, in megahertz (MHz), of Intel processors during the period 1970-2000 could be approximated by the following function of time t in years since the start of 1970: 54 v ( t ) = { 3 t if 0 ≤ t < 20 174 t − 3 , 420 i f 20 ≤ t ≤ 30 How fast and in what direction was processor speed changing in 1995?
Solution Summary: The author calculates the rate of change in processor speed in 1995 by using the second function.
Processor Speeds The processor speed, in megahertz (MHz), of Intel processors during the period 1970-2000 could be approximated by the following function of time t in years since the start of 1970:54
v
(
t
)
=
{
3
t
if
0
≤
t
<
20
174
t
−
3
,
420
i
f
20
≤
t
≤
30
How fast and in what direction was processor speed changing in 1995?
For the following function f and real number a,
a. find the slope of the tangent line mtan
=
f' (a), and
b. find the equation of the tangent line to f at x = a.
f(x)=
2
=
a = 2
x2
a. Slope:
b. Equation of tangent line: y
Please refer below
Chapter 1 Solutions
Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th
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