85. Thermostat Control Energy conservation experts estimate that homeowners can save 5% to 10% on winter heating bills by programming their thermostats 5 to 10 degrees lower while sleeping. In the graph (next page), the temperature T(in degrees Fahrenheit) of a home is given as a function of time t (in hours after midnight) over a 24-hour period. (a) At what temperature is the thermostat set during daytime hours? At what temperature is the thermostat set overnight? (b) The homeowner reprograms the thermostat to y = T ( t ) − 2 . Explain how this affects the temperature in the house. Graph this new function. (c) The homeowner reprograms the thermostat to y = T ( t + 1 ) . Explain how this affects the temperature in the house. Graph this new function. Source: Roger Albright, 547 Ways to Be Fuel Smart, 2000
85. Thermostat Control Energy conservation experts estimate that homeowners can save 5% to 10% on winter heating bills by programming their thermostats 5 to 10 degrees lower while sleeping. In the graph (next page), the temperature T(in degrees Fahrenheit) of a home is given as a function of time t (in hours after midnight) over a 24-hour period. (a) At what temperature is the thermostat set during daytime hours? At what temperature is the thermostat set overnight? (b) The homeowner reprograms the thermostat to y = T ( t ) − 2 . Explain how this affects the temperature in the house. Graph this new function. (c) The homeowner reprograms the thermostat to y = T ( t + 1 ) . Explain how this affects the temperature in the house. Graph this new function. Source: Roger Albright, 547 Ways to Be Fuel Smart, 2000
Solution Summary: Thermostat Control Energy conservation experts estimate that homeowners can save 5 to 10 % on winter heating bills by programming their thermostats 5-10 degrees lower while sleeping.
85. Thermostat Control Energy conservation experts estimate that homeowners can save
to
on winter heating bills by programming their thermostats 5 to 10 degrees lower while sleeping. In the graph (next page), the temperature T(in degrees Fahrenheit) of a home is given as a function of time
(in hours after midnight) over a 24-hour period.
(a) At what temperature is the thermostat set during daytime hours? At what temperature is the thermostat set overnight?
(b) The homeowner reprograms the thermostat to
. Explain how this affects the temperature in the house. Graph this new function.
(c) The homeowner reprograms the thermostat to
. Explain how this affects the temperature in the house. Graph this new function.
Source: Roger Albright, 547 Ways to Be Fuel Smart, 2000
1. One of the partial fractions for
2
4x²+x-9
x3+2x²-3x
2
x+1
a) x23 b) x 1½ c) x² d)
x-1
x
is
1. One of the partial fractions for
2
2
4x²+x-9
x3+2x²-3x
a) x3 b) x11 c) x² d) z
x-1
2. Identify the improper integral.
1 x
2 x
dx
a) 3x dx b) f² 3x dx
0 3-2x
0 3-2x
x
is
c) √2^:
4
√232x dx d) fo² 3x dx
1 1
0 3-2x
B. So eax dx converges to
if
:
a) O if a0 c) - 1½ ifa 0
Complete the square and find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the
constant of integration.)
dx
x²-12x+27
Chapter 1 Solutions
Pearson eText for Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry -- Instant Access (Pearson+)
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