(6) Let a1,a2, a3 be real numbers. Define V3 as follows 1 1 1 V3 a3 a2 a a a3 Show that det(V) (a2 - a1)(a3- a1)(a3 -a2)

Q: You deposit $4000 each year into an account earning 8% interest compounded annually. How much will y...

A: To calculate the total amount yielded by the deposits under the given terms

Q: Kelly sank down into a seat at the back of the subway car, glad for the chance to rest a bit after a...

A: The time taken by the body is calculated by ratio of distance covered by the body and the speed of t...

Q: According to a census​ bureau, from 2000 to 2016 the population of a certain region grew from 261 mi...

A: It is given that the population of a certain region grew from 261 million to 301 million.

Q: (a.2) Let V be the vector space of polynomials over K of degree n-1 andf: V -> V the map defined by ...

A: Given that V be the vector space of polynomials over K of degree less than equal to (n-1) and

Q: [1F q10] question is attached thanks ?

A: To show geometrically: if arg (z) =pi/6, then the distance between z and 2i is at least 1 . And to f...

Q: 1. Calculate the following: (a) P(8, 3) (b) C(7, 3) 2. You have 10 books in the shelf, 4 are textboo...

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

Q: Use the given transformation to evaluate the double integral, 7((x-4y)/(7x-y)) dA  where R is the pa...

A: Obtain x and y in terms of u and v as follows.

Q: Prove or Disprove: Every oscillating sequence diverges.

A: To investigate the convergence (or divergence) of an oscillating sequence.

Q: #8 please

A: It is given that,

Q: Simplify. (Express your answer in the form xa/byc/d) 3 5 xyA Vx2y

A: Recall the following fact.

Q: I don't understand how to do problems 2,3,4.

A: We’ll answer the first question (That is 2nd question you asked). Please submit remaining questions ...

Q: A system of four linear equations in three unknowns is always inconsistent. Is this true or false?

A: The given statement is, “A system of four linear equations in three unknowns is always inconsistent....

Q: Solve the problem. 3) If $4400 earned simple interest of $165.00 in 6 months, what was the simple in...

A: To work out the rate of interest , under the given data,

Q: Use cylindrical or spherical coordinates, whichever seems more appropriate.Find the volume V of the ...

A: Given

Q: Of 300 male and 270 female employees at the home office of Gibraltar Insurance Company, 140 of the m...

A: For a randomly selected employee,Let M denote the event that the employee is a man.Let F denotes the...

Q: How many different 16- bit strings contain exactly 4 1s?

A: According to the given information the total number of bits in a string is 16.It is needed to calcul...

Q: An oil company has two refineries. Each day, Refinery A produces 200 barrels of high-grade oil, 300 ...

A: Consider the given question,Let x1 = the number of days to run refinery A      x2 = the number of da...

Q: Real Analysis I need a rigorous proof for the following: If 0<=an<=1 (n>0) and if 0<=x&l...

A: The problem concerns the convergence and the estimate for the sum of the infinite series , under the...

Q: Apply elementary row operations to a matrix to solve the system of equations.

A: Given system of equations is,

Q: Determine whether or not the vector functions are linearly dependent. A) Linearly dependent B) Linea...

A: Consider the linear combination of given vectors:

Q: [Lin WS - Question 10] Hi, Question is Attached

A: The problem concerns the algebraic operations in Complex numbers

Q: Let G be a group with center Z(G). Assume that the factor group G/Z(G) is cyclic. Prove that G is ab...

A: To prove that the group G is abelian if the quotient group G/Z(G) is cyclic, where Z(G) is the cente...

Q: Evaluate the difference quotient for the given function. Simplify your answer. f(6 h) f(6) f(x) x21

A:

Q: The column space of a matrix is the set of solutions of Ax=b.Mark this statment as True or False. Ju...

A: The column space of a matrix A is the set having all of the linear combinations of columns of matrix...

Q: Use variation of parameters to solve the given system. 0 2 1 X + et X' = -1 3 -1

A: The given system,

Q: 2. Assume that (X, dX) and (Y, dY ) are complete spaces, and give X × Y themetric d defined byd((x1,...

A: To prove that every Cauchy sequence in the product space XxY converges (under the metric defined in ...

Q: As part of a fundraiser, a local charity has sold 8 raffle tickets, with a goal of selling 110 ticke...

A: Recall the following result.

Q: 1 2.5 4.4 2 13.6 4 20.7 4 25.6 36.2 Using the data transformation in the nonlinear regression determ...

A: Consider the given table.The given table is as follows.

Q: ATTACHED THANKYOU

A: Given that the first term of the AP is a and common difference is d.And the AP is constructed by the...

Q: The laplace transform of the funtion I(t) is...

A: To derive the expression for the Laplace transform of f(t ) given the Laplace transform of I(t)

Q: Consider the following quadratic function f(x) -7x2 + 12x - 11 Find the vertex - | (x, y) Determine ...

A: To locate the vertex and decide whether it corresponds to a maximum or minimum

Q: 4 True or False. Explain briefly (you can use diagram to show, or one or two short sentences). (a) F...

A:

Q: Kirby is buying a new gas barbecue grill that has been reduced for an​ end-of-summer sale by 10​% to...

A: It is given that gas barbeque grill has been reduced by 10% to $612.

Q: Solve the problem 12) If inflation is 3% a year compounded annually, what will it cost in 6 years to...

A: Recall the following fact.

Q: Four people are selected at random. What is the probability that none of the people in this group we...

A: To work out the probability of the required event (that all the four are born on four different week...

Q: Use simplex method to solve the problem.

A: Let x be the number of trees acquired of Japanese maple And y be the number of trees acquired of tri...

Q: Show work and/or justification for all answers . Let u = -2 3 V = 3 4 5 a) Find a unit vector in the...

A:

Q: Evaluate the triple integral, 2x2 dV, where T is the solid tetrahedron with verticies (0, 0, 0), (1,...

A: Consider the given triple integral:

Q: Determine the effective rate for $1 invested for 1 year at 8.9% compounded semiannually. %. The effe...

A:

Q: please answer part (b) only

A:

Q: Use the compound interest formula to compute the total amount accumulated and the interest earned. $...

A: Given that,Principal amount = $3000Rate = 6%Time = 2 years

Q: Let G (a) be a cyclic group of order n. For each integer m, define a map fm : G -> G by fm(x) т = x"...

A: Let G=<a> be a cyclic group of order n. for any integer m defines:

Q: (a) Let f: V > V be any linear map where V is a vector space of dimension n over a field K. Suppose ...

A: Let f : V -->V be any linear map where V is a vector space of dimension n over a field K. Suppose...

Q: X Document1 - Word AutoSave evie tucker Off ET Mailings Review Share File Design References View Hel...

A: (c)Consider the given question,Let 2x2 matrix A is,

Q: Given a sequence (xn) and a real number L , prove or give a counterexample for the following stateme...

A: It is given that:

Q: The "Dogs of the Dow" are the stocks listed on the Dow with the highest dividend yield. The followin...

A:

Q: The initial tableau of a linear programming problem is given. Use the simplex method to solve the pr...

A: From the given information do the first iteration of  initial tableau of linear programming as follo...

Q: Find f(t). ℒ−1 {e-s/(s(s+1))} f(t)=____________________+(_____________________)U(t-________)

A: Recall the following facts.

Q: need help w d and f (lin algebra)

A: For proving the linear transformation, show that the following properties:

Q: For this problem why did we integrated from -90degre to 90degree, instead of integrating from 90degr...

A: To discuss the suggested solution for the length of the given curve

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.