1 answer

1. (20pts) Given below is the graph of the rate of change of temperature over an...

Question:

1. (20pts) Given below is the graph of the rate of change of temperature over an eight- hour period of time, i.e. degrees per
1. (20pts) Given below is the graph of the rate of change of temperature over an eight- hour period of time, i.e. degrees per hour. rate of chango of temp. ime 2 a. List all the times the temperature reaches a local maximum and provide a short explanation b. List an interval where the graph of temperature with respect to time is concave down. c. Is the temperature at time t = 8 hours cooler than the same as, or hotter than the temperature at t = 2? Make your choice clear, and explain your thinking using the provided rate of change graph.

Answers

a)

we are given derivative (rate of change of temp) graph and we know that there is relative maxima when derivative changes from positive to negative.

Here derivative changes from positive (above x axis) to negative(below x axis) at t=4. So there is local maxima at t=4

b)

Temp. graph would be concave down when rate of change is decraesing because then second derivative of tem graph would be negative .

And we see that derivative graph is decreasing from t=2 to 2=5

So temp graph is concave down on interval  

2\leq t\leq 5

c)

If we need to find temp. from derivative graph then we need to find area under the derivative graph for that particular time.

T(t)= T_{o}+\int_{0}^{t}f(x) dx

We see that area under the curve for interval 0<t<2 is less than the area under the curve for interval 0<t<8.

That means temp at time t=8 is hotter than the temp at t=2

.

Similar Solved Questions

1 answer
QUESTION 3 A 3-ft wall footing is subjected to a contact pressure of 5000 lb/ft 3....
QUESTION 3 A 3-ft wall footing is subjected to a contact pressure of 5000 lb/ft 3. The wet unit weight of the cohesive soil supporting the footing is estimated to be 100 lb/ft 3 and groundwater is estimated to be 20 feet beneath the footing. The minimum depth of the test boring is ft. Submit answer ...
1 answer
How do you solve #2[x-(4+2x)+3]=2x+2#?
How do you solve #2[x-(4+2x)+3]=2x+2#?...
1 answer
Using one of the loop structures, and function overloading, write function mypower
3. Using one of the loop structures, and function overloading, write function mypower(int x,int y) which calculates X', and write another function in the same code called mypower(double x,int y) which calculates X'. Test both in the main. Note: y can be negative value. Hint: x-Y =...
1 answer
, The potential function of a one-dimensional oscillator of mass m and angular frequency wis V(x)...
, The potential function of a one-dimensional oscillator of mass m and angular frequency wis V(x) = x2 +c24 where the second term is small compared to the first. (a) Show that, to first order, the effect of the anharmonic term is to change the energy of the ground state by 3cl2mW). (b) What would be...
1 answer
Sprint 1:02 PM Irving Broadmoor Hills October 8 11:13 AM Edit Chapter 7 Essay: What are ketone bodies and how can t...
Sprint 1:02 PM Irving Broadmoor Hills October 8 11:13 AM Edit Chapter 7 Essay: What are ketone bodies and how can they be identified. What conditions ypically induce a state of ketosis7 What are the adverse effects of this condition? し謳哑 凹...
1 answer
Motor neurons carrying information to smooth muscle cardiac muscle, and all other issues and organs except...
Motor neurons carrying information to smooth muscle cardiac muscle, and all other issues and organs except skeletal muscle belong to the division of the peripheral nervous system O utonomic Osomatic Omidorain Olimbic Submit Request Answer...
1 answer
Explain substitution and cross linking in modified starch and reference the reactive groups
explain substitution and cross linking in modified starch and reference the reactive groups...
1 answer
Implement a class for a stack and a queue. Implement as a parent a superclass called...
Implement a class for a stack and a queue. Implement as a parent a superclass called “ Container and two subclasses called “ Stack and Queue” How would you use templates on these classes to make in generic? please I need step by step...
1 answer
In a voltage clamp record, the cell is clamped at increasingly depolarizing voltages. Why does the...
In a voltage clamp record, the cell is clamped at increasingly depolarizing voltages. Why does the sodium current get larger and then smaller, while the potassium current continues to grow larger?...
1 answer
Concern 3 beliefs 1 1 4 gender 1 1 1 1 4 1 4 1 5...
concern 3 beliefs 1 1 4 gender 1 1 1 1 4 1 4 1 5 1 1 1 6 1 7 2 1 8 3 1 8 2 1 8 1 2 4 1 9 9 4 1 9 1 3 3 9 1 9 3 1 11 4 1 11 5 0 11 3 12 5 0 0 0 0 12 4 12 5 13 5 0 0 13 13 13 0 6 6 6 6 0 0 13 14 5 0 14 5 0 5 0 15 16 6 0 To determine the relationship between environmental concern (dependent) and enviro...
1 answer
What is the amplitude of this function? 1.4 m 4 You are correct. Your receipt no....
What is the amplitude of this function? 1.4 m 4 You are correct. Your receipt no. is 163-28346) Previous Tries What is the period of this function 0.25 s What is the frequency (in Hz) of this function? 4 Hz What is the angular frequency (in rad/s) of this function? Submit Answer Incorrect. Tries 4/5...
1 answer
In determination of percent purity of sodium carbonate a 25cm³ aliquot of a 5.4g/l sample required 17.57cm³ of 0.07495m soln of dilute hcl acid to reach methyl orange end point. calculate the percentage purity of the sodium carbonate sample?
In determination of percent purity of sodium carbonate a 25cm³ aliquot of a 5.4g/l sample required 17.57cm³ of 0.07495m soln of dilute hcl acid to reach methyl orange end point. calculate the percentage purity of the sodium carbonate sample?...
1 answer
Problem 1 The following balance sheet extract of the partnership firm of Small, Medium and Large...
Problem 1 The following balance sheet extract of the partnership firm of Small, Medium and Large has been prepared just before they decided to liquidate their firm on June 30, 2019. Cash 60,000 Accounts receivable 40,000 Other non-cash assets 300,000 Accounts payable 120,000 Small, capital 85.000 Me...
1 answer
1. What effects would each of the following have on aggregate demand or aggregate supply (other...
1. What effects would each of the following have on aggregate demand or aggregate supply (other things held constant)? Explain them to score high marks. a. The Canadian dollar loses its value and gets weaker by 3% against the US dollar. Ans: b. A $2 increase in the excise tax (production) on a pack ...
1 answer
A 90,000 loan is repaid in 4 years at a 3.5% interest rate using the Sinking...
A 90,000 loan is repaid in 4 years at a 3.5% interest rate using the Sinking Fund method. Write down the loan depreciation table if the interest rate is 2.5%....
1 answer
What is one potential problem with using standardized data for historical financials?
What is one potential problem with using standardized data for historical financials?...
1 answer
Intro BKM Industries spent $10,000 on a feasibility study to expand its production capacity. The company...
Intro BKM Industries spent $10,000 on a feasibility study to expand its production capacity. The company decided to go ahead with the expansion: It will need to buy a new machine for $51,000 and spend $8,000 on installing it. The machine will be depreciated linearly to zero over a 5-year period and ...