Given that f(x) = b^x for b > 0, determine the values of b that will make the function f an increasing or a decreasing function.

Q: Draw a graph of the following function: y= e^x/(1+e^x)

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Q: Since MC(y) is the derivative of c(y), c(y) must be the integral of MC(y) . Select one: True False

A: Total Cost refers to the total cost of producing goods and services. Marginal Cost refers to the…

Q: f(x) is not continuous at x=-1, because:

A: A function is said to be continuous if the line in the curve is a smooth continuous graph. In other…

Q: 1 Write a well-commented function program for the function r²e¬*, using entry-wise operations (such…

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Q: Find the maximum of the function f defined as f(x) = 4x - 2x² - 110

A: The maximum of function will be at a zero derivative. When the function is at maximum the first…

Q: What are the values of the function  f(-2) f(3)

A: A function is generally described as a rule that assigns a number in R1 to every number in R1 for…

Q: Obtain the second derivative of the function: y = 2 – 5x4 + 3/2x2

A: Differentiate y with respect to x and then to find second derivative, differentiate dy/dx with…

Q: Find the inverse of the given function. f(x) = 5x + 4 ..... - 1 The inverse of the function is f1(x)…

A: In economics or any other field, functions are used to define the connection between the variables.

Q: Let X = R. Suppose that u represents p>0, M > 0, ū> 0, and r(p, M) >0. if necessary. (1) Show that…

A: - Utility Function:A utility function is a concept commonly used in economics and decision theory to…

Q: In the implicit function exy² + x² = 1, y is a function of x. Find an explicit formula for y' and…

A: Whenever a function is expressed in terms of both dependent and independent variables, it is said to…

Q: Can someone please explain how to answer this using piecewise function?

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

Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

A: Average revenue is a fundamental metric utilized by businesses to assess the average income…

Q: y = (3 - x)6 + 7 apply the function in economic optimization concept

A: Function refers to the equation where the relationship between two or more variables are given. Some…

Q: Which one of the following is the derivative of √K? (1/2)k-1/2 O (1/2)k 02K² 0

A: In economics derivatives are an important tool to determine impacts and rates of change in economic…

Q: 6). Compute the directional derivative of function f(x,y) = xy° + 2x²y at the point (2, 1) in the…

A: When a function changes at a point in a particular direction, it is termed a directional derivative.…

Q: What would the value C(75) represent in this context? B. Is function Cincreasing or decreasing? What…

A: C is the cost of the rental car in dollars and it a function of the miles driven in a day or the…

Q: Which ONE of the following descriptions is CORRECT according to this Normal Form?

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Q: 3. Suppose that the demand curve is given by: Qd = 30 – (P/8) and the supply curve is given by: Qs =…

A: Equilibrium occurs where quantity demanded is equal to quantity supplied, that is at the…

Q: The Augsburg math club paid $200 for fancy souvenir water bottles that they are going to sell next…

A: Profit is the difference between a firm's total revenue and total costs. It is the amount of money a…

Q: Consider the linear spline function f(x) = 1 + x + h1(x, 2) where h1(x,2) = x-2 if x>2 and 0…

A: Find slope of f at the point x=-1

Q: 1 1 a) Let A = 1 -1 -1 1 (i) Compute the value of det(A). (ii) For what values of x will the matrix…

A: A= x111x-1-11x The value of det(A) ,

Q: Evaluate the integral. (Use C for the constant of integration.)

A: This problem of integration can be solved through the by parts method of integration.

Q: Graph the function C=50+0.8Y and give economic interpretations of the elements of the equation.

A: The consumption function refers to the equation that represents the relationship between gross…

Q: In a certain store, cashiers can serve 45 customers per hour on average. If a customers arrive at…

A: Answer (1) C(x) = x22025 - 45x = (40)22025 - 45× 40  =  16002025 - 1800 = 1600225= 7.11 (After…

Q: Find f'(x) for the given function. 9x f(x) = X-1

A: The function will be differentiated with respect to X.