Given a relation g from the set D = {1, 2, 3, 4} to the set C = {a, b, c, d} where g= {(1, a), (2, c), (3, d), (4, b)}, determine whether g is a function from domain D to codomain C. If it is a function, determine whether g is injective.

Q: A polynomial P is given. P(x) = x³ 3x² + 4x - 12 (a) Factor P into linear and irreducible quadratic…

A: (a) Factor  into linear and irreducible quadratic factors with real coefficients.(b) Factor…

Q: (1) Let (an) be the sequence given by an = (a) Show that for all ɛ > 0 there is N E N where = √n.…

A: (1) Let  be the sequence given by .(a) Show that for all  there is  where  for all .(b) Show that…

Q: Determine all polynomials p(x) such that (x - 1)p(x + 1) = (x + 2) p(x) and p(2) = 12.

A:

Q: 2) Travel times by rail for a segment of the Eurail system are shown below with travel times in…

A: We have a travel time for a segment of the Eurail System by rail (in hours).We have to create a…

Q: Evaluate the definite integral 2 S/-x²+4/dx -1

A:

Q: Let A be a partially ordered set that has the least upper bound property. Then every nonempty subset…

A:

Q: A vertical plate is submerged in water and has the shape as seen in the picture. Assume that the…

A: Given:To calculate the hydrostatic force at the end of the tank, we can use the concept of…

Q: Find the partial derivative for the function a. b. Əz C. əz O2 = -5y² sin(x² + y²) e. d. əz dy +-5y6…

A:

Q: 3) If AC B then prove that m*(A) ≤ m*(B) using the definition of m

A:

Q: The table below contains price-demand and total cost data for the production of treadmills, where p…

A: The linear regression equation for price-demand data is: p=−0.2x+2006And the linear regression model…

Q: A) Construct a matrix for which N(A) = all combinations of (2, 2, 1, 0) and (3, 1, 0, 1).

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Suppose Cov(X,Y) = 281. What is Cov(0.76X, 0.43Y)?

A: The objective of the question is to find the covariance of the two variables 0.76X and 0.43Y given…

Q: (IV) Solve and sketch the solutions (in the Gauss plane) for the following roots: 327, 3-8, Vi

A: Let z3=27z3=33z3−33=0(z−3)(z2+3z+32)=0Then z−3=0⇒ z=3and z2+3z+9=0⇒ z=−3±9−362⇒ z=−3±33 i2Thus the…

Q: A polynomial P is given. P(x) = x45x² - 6 (a) Find all zeros of P, real and complex. (Enter your…

A:

Q: Q2 The sum of AB and CD A(1,-1), B(2,0), C(-1,3), and D(-2,2). [Q3\ Find the magnitude and unit…

A:

Q: (9) Each of the following ODEs can be made variable separable using a substitution. Give the…

A:

Q: MULTIPLE ATTRIBUTES EVALUATION OF VARIANTS A company engaged in the production of sets for…

A: The criterion matrix for evaluating production variants is :Production…

Q: you did part a wrong. shouldnt there be 2 shifts? what happened to the shift from sin(3t+1)? why is…

A:

Q: Suppose Cov(X,Y) = 725. What is Cov(0.72X, 0.62Y)?

A: The objective of this question is to find the covariance of the two variables 0.72X and 0.62Y given…

Q: The makers of Count Chocula breakfast cereal would like to determine, within 2 percentage points and…

A: To determine the sample size needed to estimate the percentage of U.S. senior citizens who have…

Q: Marcos needs you to help him calculate the size of the lid, with that he can make a box for the…

A:

Q: Define a sequence sn by {S0, S1, S2, ...} = {0, 1/1, 2, 1/3, 4, 1/5, ...}. Give a two- case…

A:

Q: 5. Determine the solution explicitly of the following differential equation xy²y¹ - y³ = 1

A: The given differential equation is

Q: If Cov(X,Y) = 588, then what is Cov(0.88X, 3.1Y)?

A:

Q: If Cov(X,Y) = 808, then what is Cov(10X,4Y)?

A: The objective of the question is to find the covariance of the variables 10X and 4Y given that the…

Q: Find the approximations LRT and M for n = 5, 10, and 20. Then compute the corresponding errors EL,…

A: We have given:Therefore, , Length of subinetrval: Where n is the number of subintervals.Enpoints of…

Q: 3. dy Solve the initial value problem e". -x=x³, y(0) = 1. Solve for y(x) explicitly! dx

A:

Q: A long year-end status report for work is 153 pages long. You need to print 14 copies for a meeting…

A: The objective of this question is to calculate the cost of the paper required to print 14 copies of…

Q: 11. dy dt = te y, y(0) = 1. dy 12. = ey-t, y(0) = 2. dt

A:

Q: Explain why it is problematic to include a constraint such as the following in an LP model for a…

A: In blending problems, we're usually figuring out how much of different ingredients to mix to get the…

Q: Angie, Bev, Ceci, and Dina are dividing among themselves a set of common assets equally owned by the…

A: Here, the number of players is 4. So anything more or equal to that is  is a fair share.

Q: 5. New York Building Corporation uses the critical path method to monitor construction jobs. The…

A: Penalty per weekTime of delay Path  has completion time Critical path has completion timeActivities…

Q: A company's total sales (in millions of dollars) t months from now are given by S(t) = 0.03³ +0.5t²…

A: The units of S'(13) will be "millions of dollars per month."So, last option is trueExplanation:Step…

Q: Suppose the relationship between Y and X is given by: Y =  -5 - 10X By how much does Y change if X…

A: The objective of the question is to find out the change in the value of Y when X decreases by 2…

Q: Find a particular solution to Ур 4 y" - 8y' + 16y= -10e4t t² + 1

A:

Q: c)

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: A contour map for f is given below. Which of the following estimates is/are true? Select all that…

A: To determine the sign of the partial derivatives and ​ at the given points, we need to consider the…

Q: Original selling price $2,000.00first markdown 10second markdown 14%markup 16%Final markdown 5%…

A: Net Price Equivalent Rate (NPER): ≈ 83.096%Final Selling Price (FSP): ≈ $1,661.92Single Equivalent…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT A steel bar is taken out of a furnace at a temperature of 900…

A: The initial temperature of the steel bar is : The environment temperature is :The quenching time of…

Q: If we were to use the method of undetermined coefficients on the following differential equation,…

A:

Q: The table below contains price-demand and total cost data for the production of treadmills, where p…

A: Use the data to find the linear regression equation for price-demand, using x as the independent…

Q: 3. Pikachu claims that you can use the method of undetermined coefficients fo solve the following.…

A: Yes, Pikachu is correct.

Q: NO i need it to be the Fourier transform as X(jw). Dont use this as s tranfer functions  I dont…

A: Let us go through the subpart (b) whose integral to be evaluated is .The graph of the function with…

Q: If Cov(X,Y) = 213, then what is Cov(8X,17Y)?

A: The objective of this question is to find the covariance of the two variables 8X and 17Y given the…

Q: Can you break these 3 questions down in a step by step so I can understand. 1. Find two sets A and B…

A: Explaning line by lineExplanation:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 6 Obtain the solution to the differential equation (e" + e^x)…

A: A differential equation of the form  is called exact DE iff  and the general solution is

Q: Let (an) be an unbounded sequence. Show that it has a subsequence (bk) = (ank) 1 such that lim = =…

A: Given, an  unbounded sequence.It is required to prove there exists a subsequence  such that .To…

Q: +(x-1)+(x-1)+qy-2)+ Expanding Equation (3) and simplifying, we obtain the following equation…

A: Equation (3):We have to prove equation (4) which is:Formula used:here, , and .Therefore,

Q: The figure below shows an arrow diagram of a relation R. R d Is the relation reflexive? Select Is…

A:

Q: Can you break these two questions down step by step so its easy to understand. 4. Can you conclude…

A: Given below solution Explanation:Step 1:Step 2: Step 3: Step 4: