6. If two functions f (x) and g(x) have positive slope at x = a, must the function h(x) = f (x)g(x) have positive slope at x = a? Justify your answer. %3D

Q: is this true or false the average rate of change between any two points on the graph y=2x+7 is 2

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Q: A linear revenue function is R=40x   A)what is the slope? B)What is the marginal revenue? C)What…

A: Consider the linear revenue function R=40x. (a) The objective is to find the slope. (b) Find the…

Q: If consumption is $5 billion when disposable income is $0, and if the marginal propensity to consume…

A: Given: consumption = $5 billion disposable income = $0 marginal propensity to consume = 0.60…

Q: p=250-x/50 C(x)=20,000+40x Find the marginal revenue function in terms of x R'(x)=?

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Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is…

A: Given that for a certain ice cream company indicates that if the price per cup of ice cream is…

Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A: P(x)=-0.005x3-0.3x2+500x-700 (a) Currently company builds and sells 11 laptops weekly x=11…

Q: llowing function of x²y² =

A: Slope: x2y2=3y+1We need to find dydxThen we should put dydx=0At which points on the curve dydx=0…

Q: The following difference equation describes a simple model of a certain economy, where Yk is the…

A:

Q: Suppose that the intensity of a point light source is directly proportional to the strength of the…

A:

Q: 2 The function f(x) is linear and it decreases for all values of x. On the coordinate plane, draw a…

A: We want to find a decreasing linear function.

Q: 2. It is assumed that consumption C depends on income Y and that this relationship takes the form of…

A: We shall solve this question using only the basic knowledge of linear equations.

Q: If consumption is $7 billion when disposable income is $0, and if the marginal propensity to consume…

A: It is given that the consumption is $7 billion when disposable income is $0 and marginal propensity…

Q: suppose a vedio game manufacturer has the total cost function C(x)=15x+4200 and the total revenue…

A: The cost function is C(x)=15x+4200 and the total revenue function is R(x)=25x where x represent the…

Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A:

Q: Suppose that f is a linear function with slope -3.6 and that f (1) = 4. What value of x gives f(x) =…

A:

Q: The federal tax code allows some items used for business purposes to be depreciated. That is, their…

A: Given that initial value of the van is $27,000 and it is decreasing $2100 in each year.

Q: Approximately, what is the value of PG (present worth of arithmetic gradient) if G=55, n=12 years,…

A: "The cash flow series that either increases or decreases by a constant amount each period is known…

Q: find the national consumption function.

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Q: Does the given equation define an implicit function around the point (y=3, x=1) and why?

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Q: Suppose you sell Peppermint Bark and Biscochitos, each by the pound. Your profit function is given…

A: Let x represent the quantity of Peppermint Bark and y represent the quantity of Biscochitos. Given…

Q: Suppose that f is a linear function with slope -3.4 and that f(3) = 4. What value of x gives f(x) =…

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Q: 1.) What is peculiar about the slope of a function before and after a point of inflection as…

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Q: 7. What is peculiar about the slope of a function before and after a point of inflection as compared…

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Q: McRoberts Electronics sells 200 TVs per month at a price of $400 per unit. Market research indicates…

A: According to given, Total revenue is given by, R(x)= (200+x)(400-x) where x is the additional TVs…

Q: The demand equation for handarafted violins by a certain violin maker can be approximated by p= 21…

A:

Q: If (0,8) is the y-intercept of f(x) and the slope of f at x is m(x)= 4x/(x^2+1)^3, then what is…

A:

Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A:

Q: IF THE BEST FITTING LINE IS SLANTING UPWARD TO THE RIGHT, WHAT DOES IT IMPLY? CHOICES: IT MEANS…

A: In this case, the best fitting line is slanting upward to the right.

Q: 9. If the cost of manufacturing x items is C(x) = x³ + 20x² + 90x + 15. Find the marginal cost…

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Q: (c). Suppose the total revenue function for a blender is R(x)=86x –0.09x² dollars where x is the…

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Q: If consumption is $6 billion when disposable income is $0, and if the marginal propensity to consume…

A:

Q: uppose that f is a linear function with slope -3.2 and that f (2) = 4. What value of x gives f(x) =…

A: Given that the f is a linear function. Slope = -3.2 f(2) = 4

Q: Is f(x) = 9 a linear function? o Yes, f(x) = 9 is a linear function. o No, f(x) = 9 is not a linear…

A: Change this function in the form of y=mx+c to find the solution.

Q: A. Assuming that the total cost per day, C(x), is linearly related to the total output per day, x,…

A: here given , A company is planning to manufacture snowboards. The fixed costs are $300 per day and…

Q: Since the founding of the Equal Employment Opportunity Commission and the passage of equal-pay…

A: According to the given information it is required to find what percentage of men's wage were women’s…

Q: Suppose that the total cost function, in dollars, for the production of x units of a product is…

A: Cost function for the production of x units is : Cx=9720+80x+0.3x2 Average cost of producing x items…

Q: (2) The number of women in the workforce, based on data and projections from 1950 to 2050, can be…

A:

Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A:

Q: Suppose that f is a linear function with slope 2.2 and that f(5) = -3. What value of x gives f(x) =…

A: We have to find out x value for which f(x)=0

Q: What is the output when the input is 4 for a linear function that has a y-intercept of 5 and a rate…

A: Given information: The input of the linear function is 4. The y-intercept of 5 and the rate of…

Q: 2) What sets linear functions apart from all other equations and graphs is that the average rate of…

A: The objective is to interpret the AROC and slope of a linear function.

Q: Is f(x) = 5 a linear function? O Yes, f(x) = 5 is a linear function. O No, f(x) = 5 is not a linear…

A:

Q: Find expressions for marginal revenue in the case when the demand equation is given by 1000 (a) P=…

A: (a).   The demand equation is: P=100-2Q where Q is the quantity of the product and P is the price…

Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A: The weekly profit in dollars from the sales of x laptop computers is given by,…

Q: What type of function is y = -7x? Linear with negative slope Go to #6 Exponential Growth Go to #1…

A: Since you are asking multiple questions.  So, we are solving only the first question for you.

Q: 23. Suppose that total national consumption is given by a C(x)=200–0.6x–0.05x0“, where x is the…

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Q: The market research department of a company recommends that the company manufacture and market a new…

A:

Q: 2. An electronics company finds that its total profit from selling x hard drives is given by the…

A: We need to find marginal profit.

Q: Suppose that f is a linear function with slope -3.6 and that f(3) = 6. What value of x gives f(x) =…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.