he total energy in megawatt-hr (MWh) used by a town is given by the equation shOwn below, where t20 is measured in hours, with t-0 corresponding to noon. Complete parts (a) thre ) below. E(t) = 650t + 5400 sin . Find the power, or rate of energy consumption, P(t) E'(1) in units of megawatts (MW). P(t) = 650 + 450 cos 12 Type an exact answer using as needed.) D. At what time of day is the rate of energy consumption a maximum? What is the power at that time of day? V, the rate of energy consumption is the maximum value of MW noon 6 pm midnight

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Chapter3: Functions
Section3.2: Domain And Range
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The total energy in megawatt-hr (MWh) used by a town is given by the equation shown below, where t20 is measured in hours, with t 0 corresponding to noon. Complete parts (a) through
(d) below.
5400
sin
元
at
E(t) = 650t +
12
a. Find the power, or rate of energy consumption, P(t)% DE'(() in units of megawatts (MW).
at
P(t) = 650 +450 cos
12
(Type an exact answer using x as needed.)
b. At what time of day is the rate of energy consumption a maximum? What is the power at that time of day?
At
the rate of energy consumption is the maximum value of MW
noon
6 pm.
midnight
6 am.
8 am.
4 pm.
4 am.
8 pm.
Transcribed Image Text:The total energy in megawatt-hr (MWh) used by a town is given by the equation shown below, where t20 is measured in hours, with t 0 corresponding to noon. Complete parts (a) through (d) below. 5400 sin 元 at E(t) = 650t + 12 a. Find the power, or rate of energy consumption, P(t)% DE'(() in units of megawatts (MW). at P(t) = 650 +450 cos 12 (Type an exact answer using x as needed.) b. At what time of day is the rate of energy consumption a maximum? What is the power at that time of day? At the rate of energy consumption is the maximum value of MW noon 6 pm. midnight 6 am. 8 am. 4 pm. 4 am. 8 pm.
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