The price P (in dollars) of a used car is a function of its initial cost C (in dollars) and its age A (in years). What are the units of aP/aA? Is aP/aA positive or negative? Explain.

Q: 3. A rocket weighs 2000 tons at liftoff and burns fuel at a rate of 10 tons/minute. Express the…

A: Given query is to find function of the weight after t time of the liftoff.

Q: Express the gross salary G of a person who earns $14 per hour as a function of the number x of hours…

A: Given: Earning per hour = $14       To determine: Gross salary as a function of the number of…

Q: We have seen that temperature in Fahrenheit is a function of temperature in Celsius. Is it also true…

A: It is given that Farenheit is a function of temperature in Celcius.And the temperature in Celsius…

Q: Is the product of two increasing functions always increasing? Explain.

A: Given: The statement is “the product of two increasing functions is always increasing”. Here, the…

Q: Define the term linear functions?

A: A function of the form f(x)=ax+b is called a linear function. Where a and b are real numbers.  A…

Q: Express the side length of a square as a function of the length d of the square's diagonal then…

A:

Q: As coal deposits are depleted, it becomes necessary to strip-mine larger areas for each ton of coal.…

A: Answer is mentioned below

Q: Is the type of function a constant function, identity function, reciprocal function, or a linear…

A: Solve the following

Q: What is the input value in a function?

A: Input values

Q: A ship carrying 1000 passengers has the misfortune to be shipwrecked on a small islana trom which…

A:

Q: The daily rental charge for a moving truck is $40 plus amileage charge of $0.80 per mile. Express…

A: The fixed rental charge of the moving truck is $40 The mileage charge is $0.80 If the number of…

Q: Describe the behavior of a function when the magnitude of the independent variable x becomes…

A: End behaviour of a function: The end behaviour of a function 'f' describes the behaviour of the…

Q: when both the dependent and independent values of a function increase, it is said to be ?

A:

Q: Ramon Nuri Matiz Ortiz works at Conservas de Cambados analyzing canned sardines for his bosses. In…

A: From the given information, DHA Temp Sardine Mass Biscay 1.2 82.5 54 1 1.9 77.5 60 1 1.1 85…

Q: Find the exact location of the relative and absolute extrema of the function.

A: Solve the following

Q: Differentiate the function.

A: Given:

Q: As coal deposits are depleted, it becomes necessary to strip-mine larger areas for each ton of coal.…

A:

Q: What are Linear Functions?

A: Linear functions:                                The functions whose graph is a straight line in an…

Q: A bathtub that intially holds 65 gallons of water starts draining at rate of 8 gallons per minute.…

A: Construct a function for the number of gallons of water W (t) in the tub after t minutes of draining…

Q: what is the signum function?

A: Explanation of the answer is as follows

Q: This describe the value of a function as approaches to some value?

A: Since we know that limit of a function f(x) as x approach c, f(x) approaches x as approaches c.

Q: You have 800 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A:

Q: Differentiate the following function.

A:

Q: A1 lb sponge initially contains 5 lb of water. As it is lifted up from the ground, the sponge loses…

A: The lb sponge initially contains 5 lb of water. Hence for height = y = 0 W= 3. the sponge loses…

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure, the…

A: We know that the aluminum sheets are rectangular in shape. The cross sectional area of the gutter is…

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure…

A: Width of aluminium sheet is 20 inches The edges are turned from both sides by x inches. The cross…

Q: What is the function? y = (CiuuliE

A:

Q: Express the side length of a square as a function of the length d of the square's diagonal Then…

A:

Q: The annual yield per lemon tree is fairly constant at 320 pounds per tree when the number of trees…

A: Let x be the number of trees per acre. Then the decrease in number of lemons tree is original number…

Q: The thermic effect of food (TEF) is the increase in metabolic rate after a meal. To model TEF which…

A: The interval of values of the variable in which the first derivative of the function is more than 0…

Q: The function... gives the height above the ground of a ball thrown upwards. The time t is in seconds…

A:

Q: The price P (in dollars) of a used car is a function of its initial cost C (in dollars) and its age…

A: What are the units of ∂P/∂A? Is ∂P/∂A positive or negative? Explain

Q: A price increases 5% due to inflation and is then reduced 10% for a sale. Express the final price as…

A:

Q: Since the beginning of the year, the price of a bottle of soda at a local discount supermarket has…

A: Let P0 be the price of a bottle of soda at a local discount supermarket at the beginning of the…

Q: 4. What is the equation for the function shown here? 2

A:

Q: 52. Total personal income With U.S. Department of Com- merce data for selected years from 1960 and…

A:

Q: My square orchid garden abuts my house so that the house itself forms the northern boundary. The…

A: The square orchid garden abuts the house so that the house itself forms the northern boundary. So,…

Q: Express the side length of a square as a function of the length d of the square’s diagonal. Then…

A: Let x be the length of a side, d be the length of the diagonal and A be the area of the square.Now…

Q: How can we Represent a Function Numerically?

A: A function f from a set A to a set B is a rule that associates every member of set A a unique member…

Q: The function v(x) = 20,000(0.87)* models the value of a car x years after its purchase. Which best…

A:

Q: What is the linear function?

A:

Q: How to find the derivite of a function?

A: To explain how to find derivative of function:

Q: Express the function by a formula: The Temperature in °F as a function of temperature in general

A: We have to express temp. in °F as a function of temperature in general i.e. °C .

Q: . The population of a city doubles in size every decade. At the beginning of the first decade the…

A: Solution-

Q: I need help finding the rate of change of a function

A: To explain the concept and technique to calculate the rate of change of a given function

Q: Define the term One-to-One Functions?

A: Definition of One-to-One functions:

Q: What is the extrema of a function?

A: what is the extrema of a function

Q: Do you use x-coordinates or y-coordinates when describing where functions increase, decrease, or are…

A: Whether to check x or y coordinates, when describing where functions increase, decrease or are…