Part cPlease provide thorough explanation showing steps with units if neededWill give a likePlease answer quickly, thank you At a bakery, muffins are made from 4 A.M. to 10 A.M. at a rate modeled by司M(t) = 3.85(10 – t)² In(t – 3) for 4 < t < 10, where M(t) is measured inmuffinsper hour andt is the number of hours since midnight (f = 0). The muffinsare sold from / A.M. to 11 A.M. at a rate modeled by= 0.014t sin2(0.79(t – 7)) for 7 < t < 11, where S(t) is measured inS(t)muffins per hour and f is the number of hours since midnight (f = 0). There are nomuffins in the bakery at 4 A.M.a. Find S'(8). Using correct units, interpret the meaning of S'(8) in the context ofthe problem.b. Is the number of muffins in the bakery inereasing or decreasing at 9: 30 A.M. (1%= 9.5)? Explain your reasoning.C. At what time t, for 7 < < 10, is the number of muffins in the bakery amaximum? Justify your answer.d. First, identify which of the following expressions (A, B, C, D, or E) could be used todetermine the number of muffins in the bakery at 11A.M. (I =11) Then providethe number of muffins in the bakery at 11 A.M. († =T1). Give your answer to thenearest whole number.A. M(10) S(11)M 110)-М(4)В.S(11) – S(7)10 – 4.11 – 710S(t)dtM(t)dt -7.C.4.

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Description: Part cPlease provide thorough explanation showing steps with units if neededWill give a likePlease answer quickly, thank you At a bakery, muffins are made from 4 A.M. to 10 A.M. at a rate modeled by司M(t) = 3.85(10 – t)² In(t – 3) for 4 < t < 10, wher

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Math

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At a bakery, muffins are made from 4 A.M. to 10 A.M. at a rate modeled by M(t) = 3.85(10 – t)² In(t – 3) for 4

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

Part c

Please provide thorough explanation showing steps with units if needed

Will give a like

Please answer quickly, thank you

At a bakery, muffins are made from 4 A.M. to 10 A.M. at a rate modeled by
司
M(t) = 3.85(10 – t)² In(t – 3) for 4 < t < 10, where M(t) is measured in
muffins
per hour andt is the number of hours since midnight (f = 0). The muffins
are sold from / A.M. to 11 A.M. at a rate modeled by
= 0.014t sin2(0.79(t – 7)) for 7 < t < 11, where S(t) is measured in
S(t)
muffins per hour and f is the number of hours since midnight (f = 0). There are no
muffins in the bakery at 4 A.M.
a. Find S'(8). Using correct units, interpret the meaning of S'(8) in the context of
the problem.
b. Is the number of muffins in the bakery inereasing or decreasing at 9: 30 A.M. (
1%= 9.5)? Explain your reasoning.
C. At what time t, for 7 < < 10, is the number of muffins in the bakery a
maximum? Justify your answer.
d. First, identify which of the following expressions (A, B, C, D, or E) could be used to
determine the number of muffins in the bakery at 11A.M. (I =11) Then provide
the number of muffins in the bakery at 11 A.M. († =
T1). Give your answer to the
nearest whole number.
A. M(10) S(11)
M 110)-М(4)
В.
S(11) – S(7)
10 – 4
.
11 – 7
10
S(t)dt
M(t)dt -
7.
C.
4.

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