37. у — —х 38. у 39. y = - 40. у |x| 41. y = Vlx| 43. у — х/8 45. y = -x/2 42. у — у-х 44. у 3 —4V. 46. у — (-х)28

Q: bounded.by- Find the ared of the reyion R and the line y=x+2 2. (6) and the line y.-x

A: Area of a region in xy-plane is = dx dy

Q: 10 (-2,619, 9.211) 5 (-6.181, 0) (2.376, 0) (9.805, 0) 15 -5 (6.619, –7.211)

A:

Q: A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c…

A:

Q: Consider the graph of a function. 4 3+ 1 + + 4 6. 5 1 2 3 Find the point c at which the function has…

A:

Q: on 7. What is the interval of the function that is constant? 8. What is the location of the relative…

A:

Q: 7. Using Lyapunov functions, show that the origin is unstable for the ODE i = -x3 ÿ = -y3

A: The solution is given below

Q: In Exercises 17–28, state the (a) domain, (b) range, and (c)x-interval(s) where the function is…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: In Exercises 23 and 24, use the graph of the function f' to estimate the intervals on which the…

A: From the given figure, To estimate the intervals on f is increasing , decreasing and local extreme…

Q: Determine the interrals on which fIS increasing decreasing and constant. also state the domain and…

A: To find:- Need to find out intervals where function increasing, decreasing and constant Method:-…

Q: In Exercises 5-8, determine whether the graph of the function is sym- metric about the y-axis, the…

A: Given that: 5. y=x1/57. y=x2-2x-1

Q: 87. Prove that every nonconstant linear function is eitheralways increasing or always decreasing.

A: A function is increasing where its first derivative is positive and decreasing where its first…

Q: 1. What are the eventually fixed points for A(x) = /x/? %3D

A: 1) what are the eventually fixed points for Ax=x solution it is known that fixed point of a function…

Q: In Exercises 15-20, sketch the graph of each function and determine whether the function has any…

A: Given the function is y = 2 – x2, -1<x<1

Q: use a graphing utility to graph the function on the closed interval [a, b]. Determine whether…

A: fx=x-1,    -1, 1. The graph is,

Q: In Exercises 47–58, say whether the function is even, odd, or neither. Give reasons for your answer.…

A: Hey, since there are multiple questions posted, we will answer the first three questions. If you…

Q: Use the Extreme Value Theorem to show that each function f in Exercises 49–54 has both a maximum and…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Exercise 4. Let F and G be homothetic functions in two variables. Is their sum homothetic? [Hint,…

A: We will use the fact that the MRS of a homothetic function is always homogeneous of degree 0. Let…

Q: Determine if the graph is continuous or not continuous. Over the interval (-6,6). If the graph…

A:

Q: Suppose a firm's technology is represented by the production function f(L, K) = min(L, 2K), where L…

A: As we know that all isoquant curves are strictly negative sloped hence, if one of the point is (4,…

Q: #22

A: Solving #22 as requested. Sketch the graph of the function f(x) = 4x To sketch the given function,…

Q: Let g be the minimum distance between the swimmer and the long sides of the pool. Determine the…

A: Part (b)

Q: 24. Express the distance d, from a point (x, y) on the graph of x+ y= 3 to the point (5, 8) as a…

A:

Q: Show that  max {x, y} = (x + y + |x - y|)/2 Show that  min {x, y} = (x + y - |x - y|)/2

A:

Q: M6, f(x) = 4x +3, [5, 8]

A: Width of each subinterval = (8-5)/6=3/6=0.5 So the partition is 5 , 5.5 , 6 , 6.5 , 7 , 7.5 , 8  So,…

Q: Draw a graph that meets al of these requirements. 1) Continuous at ( -00, -8) U ( -8, 2) U ( 4, ∞)…

A: sketch the graph

Q: Discuss the continuity of the function on the closed interval.

A: Given:

Q: (a) Define Euler's -function.

A:

Q: 1. For which values of k is the set of order pairs (2,4), (k, 6), (4,0) a function?

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Let g : X c R"→ R be a function defined on the finite set X. Does g achieve a maximum and/or a…

A:

Q: {h,p,t, v, w}, and 7, 10, 12, 15, 16, 21, 24, 29, 30}. 21), (р, 29), (t, 24), (v, 24), (w, 10)} de n…

A: We have to complete the given statement according to the given information

Q: Find the locations and values of any global extrema of each function f in Exercises 11–20 on each of…

A: (Since there are 4 sub-parts, we will answer first 3 sub-parts. Please re-submit the questions for…

Q: In Exercises 36-45, find all numbers at which fis not continuous for the given functions. Answers…

A:

Q: In Exercises 5–8, determine whether the graph of the function is sym-metric about the y-axis, the…

A: Since there are multiple subparts posted, we will answer the first three subparts(5,6,7).If you want…

Q: g(3) = 1 what is the minimum value of g on the interval [3, 5] ?

A: Given graph of f(x)

Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Q: e the definition of error function, prove that %3D

A: Topic:- application of integration

Q: 10 2 -10 -864 6 8 10 -8 -10 lee

A:

Q: Can someone help me solve this problem?

A: The function started from x=3 and kept on moving to right side. And it was moving upwards.This means…

Q: Make a conjecture about the end behaviour of a function with a degree that is : a) even and has a…

A: The end behaviour of a function indicates the behaviour of a function at the positive infinity and…

Q: 2. Identify the type of discontinuity of the function fx* – 2, l1– 2x, -2 2 f(x) = A. Infinite B.…

A: If the left-hand side of the limit is not equal to the right-hand side limit, then the function will…

Q: Graph the functions in Exercises 37–46. What symmetries, if any, do the graphs have? Specify the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A hospital employs volunteers to staff reception desk between 8.00 A.M. and 10.00 P.M. Each…

A: Given a hospital employs volunteers to staff reception desk between 8.00 A.M. and 10.00 P.M.

Q: Can i get help step by step

A: f(x) = 1/x + ln x We will differentiate the given function and equate it to zero. We will find all…

Q: If the graph of a linear function z = f(x, y) travels through the points (1, 2, 3), (2, 2, 4) and…

A: here option (a) is true because this is a linear function if graph of this function passes through…

Q: In Exercises 15–22, calculate the approximation for the given function and interval. 15. R3,…

A:

Q: Verify that the following function is a Lyapunov function for both systems and check if it is a…

A: Note:- As per our guidelines, we can answer the first problem of given problems. So, Please resubmit…

Q: #5

A: The graph is changing curvature at (-1,-1) and (2,-1) So they are point of inflections  Answer(a):…

Q: Suppose that a consumer has a utility function u(x1, x2) = x1 + x2. Initially the consumer faces…

A: Given:  U = X1 + X2 MRS = MU1 / MU2 = 1 Initially , P1/P2 = 1/2 Now as, MRS > P1/P2 MU1/P1>…

Q: Present a combinatorial argument to justify your answer. How many increasing (not strictly)…

A: We have to find find total number of increasing functions from {1,2,3,...,n} to {0,1}. As a function…

Q: In Exercises 36-45, find all numbers at which fis not continuous for the given functions. Answers…

A: As per the instruction, we will be answering only one Q. For (40), Notice that f(x) is undefined at…