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

Q: 6. Eliminate the arbitrary constants from the relation y=ax² +bx +c.

A:

Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx + b at any given…

A: Given function f(x)=mx+b where m and b is constant our aim To evaluate linearization of f(x) at…

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: he average cost function is defined in economics as C¯(x)=C(x)x, where C is the cost of…

A: Given:  C(x)=0.01x3−0.4x2+13x+400,

Q: Suppose that average annual income (in dollars) for the years 1990 through 1999 is given by the…

A:

Q: True or False: The linear function y = mx + b, where m # 0 has no maximum value on any open…

A: The answer is True.

Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx +b at any given…

A: Givenf(x)=mx +b where m and b are constantsTo find linearization of f.

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: 22 If Sx) is an odd function, the second difference [SSAx) – 2(0) +-Ax)]/(Ax)? exactly equals f"(0)…

A: Please check step 2 for the solution.

Q: Suppose that f(x) is a linear function. So, the algebraic representation of f(x) is of the form:…

A: The algebraic representation of the linear function is fx=mx+b

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

A:

Q: Suppose that f is a linear function with slope -3.2 and that f (3) = 6. What value of x gives f(x) =…

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: By the use of local linear approximation of g at x=2, estimate g(-1.998) if g(-2)=-1 and g’(-2)=10

A: local linear approximation formula for g(x)g(x)=g(a)+g'(a)(x-a)

Q: Suppose that f is a linear function with slope -3.6 and that f (2) = 8. What value of x gives f(x) =…

A:

Q: Show that f(x) = ln xn /x is a decreasing function for x > e and n > 0.

A: Given function is, But, Hence,

Q: 35. Give linearly independent functions that are annihilated by D² (D² – 2D + 10).

A: We will find roots for the equation and use concept of differential equations to find the linearly…

Q: 6. If two functions f (x) and g(x) have positive slope at x = a, must the function h(x) = f (x)g(x)…

A:

Q: 4. Use the linearization of the function f(x)%= at an appropriate x=a value to approximate 4.002

A: Given: The function f(x)=1x

Q: If f and g are functions of time, and at time t = 2, f equals 3 and is rising at a rate of 5 units…

A:

Q: 1- at 9=0

A:

Q: 4) Suppose that x thousand units of a product will be sold when the price is p(x) = -2x + 31 dollars…

A: Please see the explanation below

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 the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is…

A: Given: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].

Q: Suppose that f is a linear function such that f(3)=5. If the slope of f is 2.9 then what is f(5)?

A:

Q: Fxy(x, y) is a monotonic and non-decreasing function of both x and y.

A:

Q: Suppose that the number of a certain type of computer that can be sold when its price is P (in…

A: Given: number of a certain type of computer that can be sold when its price is P (in dollars) is…

Q: 3. Suppose that for a company producing r face shields per week, the cost (C) and revenue (R)…

A:

Q: 4. a) Find the value of x where the function f(x) = (x – 4)5 is not differentiable.

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: True or False: The linear function y = mx + b , where m ≠ 0 has no maximum value on any open…

A: true, the function y = mx +c has no maximum value in any open interval Reason: the graph of y = mx+c…

Q: f and g are functions of time, and at time t = 2, f equals 2 and is rising at a rate of 6 units per…

A:

Q: Q3. At what points are the functions continuous y =-3x x+3 y = x2-3x-10' y = (2x - 1) X-2

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Show that f is linear of slope m if and only iff(x + h) - f(x) = mh (for all x and h)

A:

Q: Suppose g(-2)=3 and g'(-2)=-4. Let f(x) = x3 + g(x). Find the equation of the line tangent to y =…

A: Given,     f(x)=x3+g(x)

Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx + b at any given…

A: The given function is: f(x)=mx+bSo,f'(x)=m

Q: 7. Find the intervals of increasing/decreasing for the function f(x) = x'e*

A:

Q: 2 The critical point for the function g(x)= X +4x is Select one: a. (4,-2) b. (-2,4) C. (2,4) d.…

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: Produce the linear approximation of the given function at the specified value. f(x) = sqrt(x); x =…

A: fx=x,  x=2 Differentiating with respect to x, we get f'x=12x Now at x=2, f2=2  &  f'2=122

Q: 6. a. Use an x- interval of 0.0001 to determine the instantaneous range of change of the function…

A: Consider the given function. fx=x4+8x3+19x2+12x The objective of the problem is to find the…

Q: A machine is now worth $153.500 and will be depreciated linearly over a 6-year period at which time…

A: The machine is following a linear depreciation. So the corresponding depreciation function will be…

Q: 4. a) Find the value of x where the function f(x) = (x – 4)3 is not differentiable.

A: According to power rule of differentiation , .

Q: The interval in which the given function is decreasing is at 3 points y = x3 – x2 – 5x - 4 (-00, -1)…

A:

Q: Select the graph of a function which has exactly one critical point, at x = 3, and exactly one…

A: We can use the concept of graphical analysis in order to solve the given problem.

Q: Solve: Apartments. In the Highland area, a 740-square-foot apartment rents for $475 per month. A…

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

Q: Suppose that f is a linear function with slope 2.4 and that f(5) = -1. What value of x gives f(x) =…

A: Consider a linear function f with slope 2.4 and f(5)=-1 .

Q: y is a linear function of x with slope −4. If y is −3 when x is −1, what is y when x is 8? You do…

A: Linear Function  Y= mX+c  m= slope of function  c = Y intercept

Q: If f and g are functions of time, and at time t = 3, f equals 9 and is rising at a rate of 4 units…

A: Given,            If f and g are functions of time. At t = 3 , f equals to 9 and is rising at rate…