Use the graphs of piecewise- linear function y=f(x) and the linear function y=g(x) to answer the following.

Q: Find a possible equation for the linear function g(x, y) shown in the graph below

A: Solution -  g(x,y) is a linear function. let g(x,y) = ax+by+c from graph of g(x,y). The graph…

Q: Sally is analyzing a circle, y2 + x2 = 9, and a linear function g(x). Will they intersect?  Yes, at…

A:

Q: The graph of the linear function f(x) passes through the point (x, y) = (1, m), where m is the slope…

A: Given:Graph of f(x) passes through the point (x, y) = (1, m), where m is the slope of the line.

Q: Find the local extreme values of the function ƒ(x, y) = xy - x2 - y2 - 2x - 2y + 4.

A:

Q: Find an equation for the linear function which has f(0.5) = 0.8 and f(0.8) = -0.3

A: to find linear function which has f0.5=0.8 and f0.8=-0.3

Q: Find the linearization of the function at a . f(x) = x 4 + 3 x2    , a = -1

A: We know that ,The linearization of the function at v=ais given by fa+f'ax-a

Q: Find a possible equation for the linear function g(x, y) shown in the graph below:. 1.0 4,0 -3

A: The graph is given by:   Figure:1

Q: Find the slope of the secant line between x=−2 and x=3 on the graph of the function f(x)=−2x2 −5x+1.

A: The point on the graph when x =-2 is given by plugging x=-2 in the function:Hence, the point on the…

Q: If f(x) = 3 a linear function? If so, what are the slope and the  change of rate?

A: We have to find the slope and change of rate for the given linear function: fx=3 We know the format…

Q: What is the linear function for y=-3/4x+3

A: Let's find.

Q: Suppose that f is a linear function with slope -4 and that f(1) = 7. Find the equation for f. (Use x…

A:

Q: For the graph of the linear function f(x) = mx + b, m is the  _____ and b is the _______ .

A: For the graph of the linear function fx=mx+b, m is the  _____ and b is the _____.

Q: Find the linearization L) of the function at a. f(x) = {, 8 = 125

A:

Q: Find the linearization of the function at a . f(x) =  x3/4    , a = 16

A:

Q: Determine the equation of the vertical trace of the function g(x,y)=-x^2-y^2+2x+4y-1 corresponding…

A: To find equation of vertical trace we need to substitute value of variable in the given equation of…

Q: Find the point at which the line f(x) intersects the line g(x) = 2x + 5 = – 2x + 1 -

A:

Q: Let f and g be linear functions with equations f(x) = m1x + b1 and  g(x ) = m2x +b2. Is f ° g also a…

A: The given linear functions are fx=m1x+b1    and  gx=m2x+b2. This implies that,…

Q: Given that f and g are linear functions, where: f(x) = ax + b g(x) = cx + d Is foga linear function?…

A: Consider the linear function f(x) = ax + b,  The slope of the graph of f = a

Q: The number of deaths N per week has been observed to be linearly related to the average…

A: Given :          The number of deaths N per week has been observed to be linearly related to the…

Q: Determine the point on the curve for the function H(x)=(-5x+7)(2x+3) where the slope is -1/2

A:

Q: . Write a rule for a linear function y = h(x), given that h(1) = 6 and h(-3) = 2.

A: Our Aim is to write a rule for a linear function y=h(x), given thath(1)=6 and h(-3)=2

Q: the y intercept of a function f(x) is (0,b). What is the y-intercept of f(x) +k ?

A: Given that the y intercept of a function f(x) is (0,b).f(x)+k means k units higher than f(x). So the…

Q: Suppose that f is a linear function with slope 4 and that f(4) = 4. Find the equation for f. (Use x…

A: Given : Suppose that f is a linear function with slope 4 and that f(4) = 4.

Q: Suppose f is a linear function such that f(3) = 9 and f(8) = 5.0. What is the slope m of f?

A: Given query is to find the slope of the function.

Q: Find the point at which the line f(x) = – x – 2 intersects the line g(x) = 3x + 6

A:

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−3x3+4x2+2.

A:

Q: Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

A: Given that Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

Q: Consider the linear function y = ax + b. If x changes at a constant rate, does y change at a…

A:

Q: find the linear function with the following properties: f(1)=5 slope of f=6

A: Given : f(1)=5 slope of f = 6   To find : linear function satisfying above properties

Q: A baseball team plays in a stadium that holds 56000 spectators. With the ticket price at $9 the…

A:

Q: Find the slope of the curve f(x)= x2 at the point P(2,4)

A:

Q: Determine the value of x when the slope is its maximum for the function f(x)=2cos(3x)

A:

Q: find a linear function that models the relationship between the two variables and describe the slope…

A:

Q: One linear function is given by f(x)=5x−2. A second linear function, g(x), passes through the points…

A: The y-intercept of a graph is the point where the graph crosses the y-axis.

Q: Write the equation for the linear function. A = {(x, y): (-4, 2)(-1, ) (1.).) Oy= - 2 y= - +1 Oy=…

A:

Q: Find the slope of the function f(x) = V5x at x = 5. V5/2 -25/2 1/2

A:

Q: At a price of $40 per item, 120 items are demanded by consumers, but at a price of $70 per item,…

A: To find out the equation of the demand function.

Q: Find an equation for the linear function which has f (0.5) = 0.8 and f (0.8) = -0.3. f (x) =

A: We have to find the linear function where, f0.5=0.8 and f0.8=-0.3 We know linear function form,…

Q: Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Given,  f(x)=2 cos(3x)

Q: . Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Here we have to use the concept of derivatives.

Q: Find the equation of the function f whoseg 3 f'(x) = (0, 4) %3D -- 1 + e

A:

Q: Find the local extreme values of the function y = x + x- & + 5

A: Given function f(x) = x3+x2 - 8x + 5 f'(x) = 3x2+2x-8 f"(x) = 6x + 2 By Second derivative Test,…

Q: Find the linear function with the following properties. f(−5)=−1 Slope of f=−4

A:

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: After 3 months of membership at a health club, a new member had paid a total of $240. After 7…

A: Given that after 3 months total cost is $240 . After 7 months total cost is $ 400. So if we take…

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: y=4x

A: Linear function is given by equation y=4x. we have to show that value of y increases by 4 between…

Q: A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $11 the…

A:

Q: Find the slope of the secant line between the values x1 and x2 for each function y = f (x). 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.