The function H=f(t) gives the temperature, H∘ F, of an object t minutes after it is taken out of the refrigerator and left to sit in a room.(a) Write a new function in terms of f(t) for the temperature if the object is taken out of the refrigerator 6 minutes later.Note that "H=" is already provided. Do not include this in your submitted response to this question. (b) Write a new function in terms of f(t) for the temperature if both the refrigerator and the room are 13∘ F colder.Note that "H=" is already provided. Do not include this in your submitted response to this question.
The function H=f(t) gives the temperature, H∘ F, of an object t minutes after it is taken out of the refrigerator and left to sit in a room.
(a) Write a new function in terms of f(t) for the temperature if the object is taken out of the refrigerator 6 minutes later.
Note that "H=" is already provided. Do not include this in your submitted response to this question.
(b) Write a new function in terms of f(t) for the temperature if both the refrigerator and the room are 13∘ F colder.
Note that "H=" is already provided. Do not include this in your submitted response to this question.
Want to see the full answer?
Check out a sample Q&A here
Related Calculus Q&A
Find answers to questions asked by students like you.
Q: In certain conditions, the atmospheric pressure (p) in the height (h) is given by p=29e-0.000034h.…
A: It is given that the atmospheric pressure in the height is given by the function…
Q: A 12-inch tall sunflower is planted in a garden and the height of the sunflower increases by 8% per…
A: Click to see the answer
Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…
A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…
Q: Graph the curve of the function F(x)= sgn([x]+1)
A: Providing a solution to given question assuming the symbol x denotes the floor function . The Floor…
Q: The population of a town in Texas is modeled by the function f(x)=16,869(1.037)x. If the initial…
A: We have given population modeled by the function f(x)=16869(1.037)^x For initial population put x=0…
Q: Express the area A of a right triangle as a function of the height h if the base of the triangle is…
A: Click to see the answer
Q: A company has determined that its price-demand function for its sale of its product is given by…
A: Click to see the answer
Q: The population of a city in the year 2000 is 250,000 people, and is modeled by the function, f (x) =…
A: Click to see the answer
Q: The quantity of dollars in a bank account is given by the function f(x)=15(1.02)x, where x is the…
A: Click to see the answer
Q: How can I explain what it means for a function f(x) to be O(1)?
A: The 'f(x) to be O(1)' is to be read as function f(x) is of the order of 1. Now refer to step two to…
Q: Use the given graph of the function to find the x-values for which f is not differentiable.
A: Click to see the answer
Q: Use the given graph of the function to find the x-values for which f is not differentiable.
A: Using graph to find the x-values where function is not differentiable
Q: The function f(x)=1+1.3 In (x+1) models the average number of free throws a basketball player can…
A: Obtain the average number of consecutive free throws the basketball player makes after 100 days.
Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…
A: From given the volume function is fx=x3.
Q: A tortoise and a hare are competing in a 1200-meter race. The arrogant hare decides to let the…
A: Given A tortoise and a hare are competing in a 1200-meter race Tortoise has a 750 meter head start…
Q: What happens to the function f (x) = 1 + as x approaches to zero.
A: The definition of the function gx=x is given by, gx=x for x≥0=-x for x<0 Thus, the left hand…
Q: What happens to the function f (x) = 1 + as x approaches to zero.
A: Explanation: Given that, f(x)=1+xx Here x approaches to zero. limx→01+xx Now we will find the…
Q: Look at the graph of the function f(x) = x', with the domain restricted to V2 <x< V2 and the range…
A: See the graph of x3, domain of the function is [-1.26 ,1.26] and range of the function is [-2,2].…
Q: Suppose f(x) represents the cost, in dollars, of producing x tons of coal and g(t) represents the…
A: Click to see the answer
Q: /Discuss the behavior of the following function as x 0: o,
A: Here, the given function is: f(x)=0,x≥0sin1x,x>0
Q: How much revenue does the company get from a customer who uses exactly 30 therms of gas in a month?…
A: Click to see the answer
Q: For the function, supply f(x) = e-3x f(x) = Use technology to compute the missing values in the…
A: Click to see the answer
Q: Sketch the graph of the function defined piecewise by the formula f(x) = {0, x<-1; v1 – x2…
A: Given f(x)=0x≤-11-x2-1<x<1xx≥1
Q: An electric company charges its customers $0.0577 per kilowatt-hour (kWh) for the first 1000 kWh…
A: We have to write the piecewise-defined function C for a customer’s bill where x is per kWh. First,…
Q: The population of Boston, MA in 2019 was 692,600 people with an annual rate of increase 1.4%. In…
A: Given the function of population grows is P(x) = 692,600·1.014x where x is number of years. We have…
Q: You want to build a pen for your new puppy, and you want to put it next to your barn. You have 200…
A: Draw the diagram of the pen for the puppy.
Q: Use the graph of the function attached below to find the x-values for which f is not differentiable
A: our objective is to find the point where f is not differentiable
Q: Sketch the graph of the function defined piecewise by the formula f(x) = {0,x 1.
A: fx=0 , x≤-11-x2, -1<x<1x, x≥1
Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…
A: To determine function H that represents total health care expenditures in year x
Q: the number of bacteria in a culture was initially 8,000 and the number grew to 12,000 in 6 hours.…
A: Click to see the answer
Q: 2 a) For the function f(x) = find f' X- 3'
A: Click to see the answer
Q: The function f is given by f (x) = (1+x)=. How do the values of f behave for small positive and…
A: Here we define f for small or large positive value of x.
Q: The population of a town in Texas is modeled by the function f(x)=16,869(1.037)x. If the initial…
A: Click to see the answer
Q: If a box with a square cross section is to be sent by a delivery service, there are restrictions on…
A: Volume can only be positive.We know that is x^2 is always positive , so for V to be positive,…
Q: Starting with the graph of f(z) - 5², write the formula for the function that results from (a)…
A: Given :- f(x) = 5x To find:- Formula of f(x) after the results of following (a) shifting f(x) 6…
Q: Find the Relative Change in the values of the function f(x) = x³ + 2 between x = 1 and x = 2.4
A: At x =1 ; f(1)=13+2=1+2=3At x=2.4f(2.4)=(2.4)3+2 =15.824
Q: Consider the function f(x) = i + x². How does this function essentially behave for large positive…
A: The Given Function f(x) contains rational function x/(x2+1) and polynomial function function…
Q: Starting with the graph of f(x) = 4, write the formula for the function that results from (a)…
A: Given: The function is, f(x)=4x. Objective: Shifting fx 1 unit downward. Shifting fx 5 units to…
Q: 1. The height of an object is represented by the function h(t) = 400 - 16, where 400 represents the…
A: The function represents the height of an object at time given byh(t) = 400-16t2to reach the ground…
Q: What is f’(2) for the function attached below?
A: We have to calculate the derivative of the given function at x=2 f'(2)…
Q: A commuter drove to work a distance of 20 miles and then returned again on the same route. The…
A: Let x be the average velocity on the outgoing trip.
Q: Q3/Discuss the behavior of the following function as x 0 :
A: Click to see the answer
Q: Use the graph of the function f to find approximations of the given values
A: The given graph is,
Q: What are the features of the function f(x) = (G) 1 graphed below?
A: given f(x)=13x-1Property,let 0≤a<1, then limn→∞an→0
Q: How would you limit the domain to make this function one to one? f(x) = (x+ 3)²
A: Click to see the answer
Q: Find the value f(a+h) for the function f(x)=9
A: Here is given function is f(x)=9 Here is f(x) is constant function
Q: at is the graph of the function
A: Given that: f(x)=4-xx+2
Q: The graph of the function f(x) = 4-x has an inflection point at
A: Inflection point is point where double derivative of the given function vanishes and also changes…
Q: What is the new function for g(x)
A: Click to see the answer
Q: Q3:- Sketch the following functions showing the detailed steps in different graphs: a) f(x) = |x –…
A: fx=x-1-1 The graph of given equation is obtained by horizontally shifting the graph of y=x to the…
