3. Suppose a car travels at a constant rate of 70 kph for 2 hours and travels 55 kph thereafter. Show that distance travelled is a function of time and find the rule of the function.

Q: 8) Sketch the function with the zeros (x + 3) (x=1) (x= 2)and: the y-intercept of -6. After doing…

A: To sketch the graph of the given function.

Q: Consider an object with a mass of 4 kilograms dropped from a height of 1500 meters, where the air…

A:

Q: Suppose you know that the point (2, 3) lies on the function h. The average rate of change on the…

A:

Q: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

A: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

Q: Estimate the instantaneous rate of change of the function at x = -2. 2 (2, 0) -4 4 -2 -4 (-3, –5) a)…

A: Given:

Q: With the given graph, estimate the instantaneous rate of change at x= -1 and show the steps. Next,…

A:

Q: Suppose that a room containing 1500 cubic feet of air is originally free of carbon monoxide.…

A:

Q: Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and…

A:

Q: The air in a room with volume 180 m3 contains 0.15% carbondioxide initially. Fresher air with only…

A:

Q: Suppose that 50,000 bacteria are in a dish and that the population grows continuously by 4% each…

A:

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x^2 −0.01y^2…

A:

Q: Find the instantaneous rate of change of the function at the specified value of x. f(x)=(x−3)/(x+5)…

A: Given data:     The given function is: f(x)=(x-3)/(x-5).   The expression for the rate change of the…

Q: 2. What is the average rate of change between x = 2 and x = 3 for the function g(x) = 4(x + 1)² -5…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² ,…

A:

Q: Suppose that the total profit in hundreds of dollars from selling x items is given by…

A:

Q: 2. Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 3°, where t is given in…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Use Definition 1 or 2 to find the instantaneous rate of change of the function at the given value…

A:

Q: Find the average rate of change of the function from x=1 to x=2.   f(x)= -6/x^2

A: As we know that the expression for the average rate of change of the function: Average rate of…

Q: ズ-1 f(x)- X + 3

A:

Q: pressure

A:

Q: Suppose f(x)=(x−4)/(x+4). Write an expression in terms of x and h that represents the average rate…

A: Given: fx=x-4x+4, To find: The expression of average rate of change of f over any interval x,x+h.

Q: Suppose we have a tank that contain 10 litres of water and 50 g of salt. The salt solution is…

A: given , tank that contain 10liters of water and 50 gram of salt .  so , initial concentration =>…

Q: Find the average rate of change of the function from x = 1 to x = 2. f (x) = - 14

A: Using function notation , we can define the average rate of change of a function f(x) from  x = a to…

Q: Consider the following problem. A bicyclist is riding on a path modeled by the function  f(x) =…

A: Given thatA bicyclist is riding on a path modeled by the functionfx = 0.03 10x-x2Where x and fx…

Q: Suppose that a liquid carries a drug with concentration 0.1 g/cc into a 400-cc organ at a rate of 5…

A:

Q: Find the instantaneous rate of change for each function at the given value: F(x)= x2 + 2 at x = 0

A: Given: F(x)= x2 + 2 at x = 0

Q: The number of daily users for Japan’s Line messaging service (in millions) can be approximated by…

A: The approximating function that represents the given scenario is: g(x)=53.1+63.1 ln(x) where x…

Q: 3. Armaan claims that the functions f(x) = 32x + 5 and g(x) = 32* + 8 have different instantaneous…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The demand for a natural resource t years from now will be increasing at a rate of te0.0017 million…

A:

Q: Find the average rate of change of the function from x = 1 to x = 2. 10 f (x) : x2

A: first we differentiate function then we put limits

Q: Suppose f(x)=1/x. Write an expression in terms of x and h that represents the average rate of change…

A: given :     f(x) =1xTo compute average rate of change of f over any interval of length h.      f(x)…

Q: A certain radioactive substance has a half-life of 22 days. As a sample of the radioactive substance…

A:

Q: determine the instantaneous rate of change for the function f(x)=7^x + 9log(x^x) at x=4

A: This question can be solved using the concept of derivative of a function at a point.

Q: Use Definition 1 or 2 to find the instantaneous rate of change of the function at the given value.…

A: The instantaneous rate of the function N(x)=1x, x=8

Q: #3 Find the instantaneous rate of change for the function f(x) = V3 – x at x = -6.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 5. Assume that an airplane is flying toward you at a constant height of 2 miles and at a speed of…

A: Here we solve this question using differentiation and basic trigonometric formulas.…

Q: A mouse wheel is 16 cm im diameter and the base of the wheel is 2 cm off i ground. If the hamster…

A:

Q: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = x² –…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Suppose that value of wine respect to time is given following function V = 100e ve. How long will it…

A:

Q: Suppose that f(x) = 3x² – 3. (A) Find the slope of the line tangent to f(x) at x = 5. (B) Find the…

A: We find f'(x) using the power rule Slope of the line tangent to f(x) at x=5 is given by f'(5) So to…

Q: 2. Determine the zeroes of 2 x² = x f(x) instantaneous zeroes using a table of values. — 3x 4 and…

A: To find the zeroes of the polynomial.

Q: 1. A truck that delivers essentials in remote areas can travel 85 kilometers. Which of the following…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: 2-Find the instantaneous rare of change for the above function at X = 3

A: 2. Let fx=1x2, x0=3

Q: If we have a formula giving the cholesterol level of a patient as a functionof time, how can we find…

A: Integration gives the function whose derivative is given. Integration means adding all slices to…

Q: 7. If the number of bees in a beehive are modeled by the function 6(t) = te +1 thousand bees, where…

A: The number of bees in a beehive modeled by b(t)=te-t210+1 thousand bees,where t is in months past…

Q: Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and…

A:

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: Given,          The total cost in dollars from the production of x printers is given by…

Q: The crime rate of a certain city is decreasing by exactly 3%each year. Let t=0 correspond to the…

A: The function that represents the continuous decrease in number of crimes is given by:

Q: Suppose the average daily metabolic rate for certain types of animals can be expressed as a function…

A:

Q: Find the average rate of change of the function from x=1 to x=4 of f(x)=-8/x^2

A: