If f'(x) > 3 for all x and f(2) = 5, what can you conclude about f(4)? %3D

Q: Five mice in a stable population of 500 are intentionally infected at r= 0 with a contagious disease…

A:

Q: the estimate of solution to x=2^-x to 4 decimal places is what?

A:

Q: 3x+4 3. f(x) = x2+3

A:

Q: Find the derivative of Log(2z³). 2/z 2/2? 1/2? 3/z

A: Answer

Q: What is the average rate of change of the function f(x): = x² between x = -3 and x = 3?

A:

Q: what is the derivative of y=ex /(x2 + 15) Please show steps

A:

Q: The decay of radioactive elements can sometimes be used to date events from Earth’s past. In a…

A:

Q: 2. Show a graphical method of approximating the instantaneous rate of change at x = 3 for the…

A: You must have idea about what is the basic difference between instantaneous and average rate of…

Q: Estimate the instantaneous rate of change of P(x)=5/x+2 at the point x=2

A:

Q: By using the second derivative test for functions of two variables, find three positive numbers…

A:

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

A: Given function is y=ex-12. To find the derivative of the given function. Solution: Chain rule of…

Q: A quantity with an initial value of 200 grows continuously at a rate of 55% per day. What is the…

A: Let the quantity Pn grown continuously at a rate of 55% per day. Initial quantity is P0=200.

Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

Q: If the sign of the first derivative function is positive, the main function f(x) is decreasing.

A: We have to tell If the sign of the first derivative function is positive , the main function f(x) is…

Q: 14) Find the first derivative of f(x)= 2*2*

A: The derivative of ax is axlna. The derivative of xn is nxn-1, where n is any integer. The chain rule…

Q: s projected that x years from now the population of a certain city will be changing at the rate of…

A:

Q: John is an epidemiologist. He is tasked to determine the rate at which the total average of COVID…

A:

Q: 8. Create the equation of any function where the instantaneous rate of change when x = 1 does not…

A: Create the equation of any function where the instantaneous rate of change when x = 1 does not…

Q: If the total revenue function for a blender is R(x) = 41x – 0.01x² where x is the number of units…

A: Given that, the revenue R (in dollars) for a blender is given by  R(x) = 41x - 0.01x2 where x is the…

Q: What is the derivative of the exponential function ex? How does the domain of the derivative compare…

A: To determine the derivative of the function ex and domain of the derivative.

Q: Find a double root of the equation f (x) = x' -x -x+1 = 0 by generalized New- ton's method.

A:

Q: Use the First Derivative Test to find the relative extrema of x – 3 f(x) ex

A: The given function is fx=x-3ex. We need to find the realtive extrema. Concept used:  Consider x=c is…

Q: What are three methods that can be used to estimate the instantaneous rate of change in g(x) at x =…

A:

Q: If f(x) = e cosT, the second derivative f"(x) is:

A: The given function is fx=ex cosx. Evaluate the first derivative of the given function as follows.…

Q: How do you use the chain rule to find the derivative of 10 to the power of 2 times the square root…

A: We have to find the derivative of the function rt=102t using the chain rule. The derivative of a…

Q: nown to grow at a rate proportional

A:

Q: The second derivative of a function is equal to 1. If the graph of the function passes through (0,2)…

A:

Q: Total net shipments of aluminum (in billions of pounds) are approximated by g(x)=16.2+2.86ln(x+1)…

A: A) Total net shipments of aluminum (in billions of pounds) are approximated by g(x)=16.2+2.86ln(x+1)…

Q: When air expands adiabatically (without gaining or losingheat), its pressure P and volume V are…

A: Pressure and Volume are related by equation At a instant

Q: A quantity with an initial value of 310 grows continuously at a rate of 8.5% per second. What is the…

A:

Q: What role does the denominator of f'(x) play in finding the critical points (in other words, what do…

A: The given data is: f'x

Q: If the total revenue function for a blender is R(x) = 28x – 0.01x² where x is the number of units…

A: To find The average rate of change of revenue R(x) as x increases from 10 to 20 units.

Q: What is the derivative of: log x/(x+1)

A:

Q: A colony of bacteria with originally 100 cells has now grown to 900 in 2 hours. Assuming the rate of…

A:

Q: A quantity with an initial value of 310 grows continuously at a rate of 8.5% per second. What is the…

A:

Q: Find the first derivative of ƒ(x) = 7x¹⁰² cot(x). 10 f'(x) =

A: Given :fx=7x10excotx

Q: Find the length of the curve defined by 2 y = 5 ln 5 from x = 7 to x = 9.

A:

Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

A:

Q: f (x) %3D х3 -Зх2- 2 3x2

A:

Q: proportional

A: We will solve the problem.

Q: Find teh average rate f change of f(x)=3x^(2)-x from x_(1)=-1 to x_(2)=2

A: Solution: The objective is to find the average rate of change of the given function

Q: compute the rate of Change of the functioN at x= a. flx)= -2X²-X,Q= -5 instantaneous

A: Given function: fx=-2x2-x

Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

A: The given Revenue function R(x)=23x3-40x2-450x.  Task: To maximize this revenue function.

Q: Find the derivative of f(x) = log(-6x* – 6x + 5) at the point x = 2. Provide your answer below:…

A:

Q: 9) Find the value of the derivative at the point x=2 if f (x) = xv2x – 7

A:

Q: Find the derivative. f(x) = tanh(2 + e4x) f '(x)

A:

Q: A culture of bacteria grows at a rate that is proportional to the present number. It is found that…

A:

Q: What is the average rate of change of f(x)= x2 -2 on the interval [-1,3]?

A:

Q: 6. Use the difference quotient to estimate the 2 instantaneous rate of change in f(x) = x² at x=3…

A: