If f and g are functions of time, and at time t = 2, f equals 2 and is rising at a rate of 3 units per second, and g equals 4 and is rising at a rate of 8 units per

Q: Solve the following problems completely. 1. If a body whose temperature is initially 200° C is…

A: Use Newton's law of cooling

Q: Suppose that the monthly demand function of a particular commodity is given by P= 200 -0.4x and the…

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Q: 4. Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

A: It is given that annual cost is C'x=x2+65x and annual savings is S'x=212-x2. (a) Suppose P'(x) is…

Q: S/dy = 0.2 + e−1.5y      (i

A:

Q: Suppose that the marginal propensity to consume is   dC dy = 0.4 − e−2y     (in billions of…

A: Answer:  C(y)=0.4y+12e-2y+4.9

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

A:

Q: If consumption is $3 billion when disposable income is $0, and if the marginal propensity to save is…

A: consumption= $3 billion disposable income= $0 ds/dy= 0.8+e^-(1.5y)

Q: A calculator company found that the cost of producing x graphing calculators per day is C(x) = 4x +…

A: a) Revenue = price x quantity sold R(x) = 80 x

Q: Determine the following for the scenario: Suppose that for a certain company, the price-demand…

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Q: If consumption is $9.9 billion when income is $1 billion and if the marginal propensity to consume…

A:

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

A: Since we have a marginal propensity to consume is dCdy=y+1-0.5+0.4. Also, if the consumption is $6…

Q: If f and g are functions of time, and at time t = 3, f equals 8 and is rising at a rate of 3 units…

A: From the question we have  f(3)=8   and  dfdtt=3=3 i.e f'(3)=3 Similarly, g(3)=6   and  dfdtt=3=8…

Q: Suppose that the marginal propensity to consume is dc = 0.2 - e-2y (in billions of dollars) dy and…

A: Given, dCdy = 0.2 -e-2y   When y = 0  the  C = 5.4

Q: Suppose that the marginal propensity to consume is dC = 0.9 – e-0.5y dy (in billions of dollars) and…

A: Let's find.

Q: When a certain product is sold for p dollars per item, consumers will demand D(p)= 12,00p^-1 items…

A: Given, D(p)= 1200p-1 items/week p(t)= 0.5t²+6 dollars/item

Q: If f (x) = 2", which equation represents a function that has been reflected over the x-axis, has a…

A: Definition and the knowledge of the functions help to find the required function. When a function…

Q: 4. The research department for a hardware chain has determined that at one store the marginal price…

A: Given : Marginal Price - demand of x feet of steel cable per week is: P'(x) = - 0.02 Find the weekly…

Q: find the national consumption function.

A:

Q: If n is positive and even, where is the graph of f(x) = xn increasing and where is it decreasing?

A: For f(x)= xn  where n is positive and even. for these type of function the general graph is given…

Q: Suppose that the marginal propensity to consume is dC = 0.4 – e-0.2y dy (in billions of dollars) and…

A: Given that marginal propensity is dC/dy=0.4-e-0.2y We need to find national consumption function…

Q: If consumption is $9 billion when disposable income is $0, and if the marginal propensity to save is…

A: The disposable income is $0. The consumption at $0 disposable income is $9 billion. The marginal…

Q: If consumption is $2.9 billion when income is $1 billion and if the marginal propensity to consume…

A:

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

A:

Q: Suppose that the marginal propensity to consume is dc e-0.5y (in billions of dollars) dy and that…

A:

Q: A certain manufacturer can produce f(x, y)- 10(6x+y2) units of goods by utilizing x units of labor…

A: Production is given by: fx,y=106x3+y2 Where x is units of labor and y is units of capital. We have…

Q: If consumption is $4 billion when disposable income is $0, and if the marginal propensity to save is…

A:

Q: Under what circumstances is a linear function f(x) = mx + b odd? Can a linear function ever be even?

A: To check the linear function

Q: Suppose that a company's profit function over time is P(x) = - 0.4a + 5a? + 10 thousand dollars, %3D…

A:

Q: If f (x) = 2ª , which equation represents a function that has been reflected over the x-axis, has a…

A:

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

A:

Q: Suppose that the marginal propensity to consume is dc = 0.8 - e-0.5y dy (in billions of dollars) and…

A:

Q: Question 4 It has a local/relative maximum when x = A 2 B В) 1 c) o D -2

A: Given, The function  y=fx and the first derivative y' =xx-2 We have to find the relative maximum of…

Q: Suppose that the marginal propensity to consume is dc - 0.9 - e-2y (in billions of dollars) and that…

A:

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

A:

Q: If consumption is $6.7 billion when income is $1 billion and if the marginal propensity to consume…

A: Given that, The marginal propensity to consume is, dCdy=0.3+0.2y in billions of dollars. If…

Q: Suppose that the marginal propensity to consume is   dC/dy = 0.6 − e−2y     (in billions of…

A: Marginal propensity to consume is: dCdy=0.6-e-2y Also: C(0)=5.5

Q: Suppose that the marginal propensity to consume is dc = 0.3 - e dy -0.5y (in billions of dollars)…

A: We will use concept of simple integration.

Q: If consumption is $3 billion when disposable income is $0, and if the marginal propensity to save is…

A:

Q: The marginal cost of producing the xth box of light bulbs is  10 − X/20000,  and the fixed cost is…

A:

Q: f and g are functions of time, and at time t = 3, f equals 9 and is rising at a rate of 2 units per…

A: It is application of derivative.

Q: 3. Find the demand function for a clock manufacturer if marginal demand, in dollars, is given by p'…

A: Given, The marginal demand p'x = -24x3x2+12  p1 = 10  We have to find demand function px

Q: A researcher believes that if x thousand individuals among a susceptible population are inoculated…

A: Given: I(x)=aRx-b R=0.9

Q: Suppose a consumer lives in two periods, with his income in period 1 as $100 and his income in…

A:

Q: If consumption is $3.9 billion when income is $1 billion and if the marginal propensity to consume…

A: The marginal propensity to consume is dCdy=0.5+0.2y

Q: If f and g are functions of time, and at time t = 3, fequals 7 and is rising at a rate of 5 units…

A: f(3)=7df(t)dt=5g(3)=6dg(t)dt=7

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

A: We will use the variable separable form to solve the differential equation where we will separate…

Q: If consumption is $2 billion when disposable income is $0, and if the marginal propensity to save is…

A: