14 If 12 13 3 then x is А. 6 В. —2 С. 2 D. -6

Q: Question 5. Prove that Q>0 (the set of positive rational numbers) under multiplication is isomorphic...

A:

Q: Find the Laplace Transform of the following: 1. f(t) = 3u(t) + 8(t – 2) + 8(t – 5) – u(t – 7)

A: Given f(t) = 3u(t) + δ(t-2) + δ(t-5) - u(t-7) As we know L{δ(t-a)} = e-as  for  a > 0L{u(t)} = 1s...

Q: Determine the equivalent when (3∠2 radians) is raised to 0.5+0.5i. Express your answer in a RECTANGU...

A:

Q: Find the Fourier series of f(x) = V1- cos x in the interval (0, 2n). Hence, 1 1 deduce that Σ -- 2 n...

A:

Q: Find the quotient of z1 = -6+2i and z2 = 7+8i in polar form %3D %3D

A:

Q: The intal tablea of a inear programming problem is given. Use the simplex mehod to solve the protiem...

A:

Q: Find the solution and define The interval at which function is değine 2. dx

A:

Q: An exercise yard is to be made consisting of two (2) regular partitions (see illustration below) y T...

A:

Q: 2. Draw all non-isomorphic trees of order n, where 2 < n < 6.

A:

Q: |a² +1 ab ac The value of the determinant A= ba b2 + 1 bc equals cb c2 + 1 са A. a? + b? + c? B. 1- ...

A:

Q: ve test to identify any critical points a these. -2 – 6y² + 12x - 36y – 87

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The critical points...

Q: 13. If f € R(a) on [a, b] and if S f da = 0 for every f which is monotonic on [a, b ], then a is con...

A: Given f∈Rα on a,b. Given that ∫abfdα=0 for every monotone function f on a,b. Claim: α need not be co...

Q: Evaluate the integral of the two-form w = (x8 + 2y) dx A dy over the region D bounded by the curves ...

A:

Q: 1.1. Compute the Fourier series for f(x): f(x) = {, - 2 <x<0 0<x<2

A:

Q: Consider the power series f(x) =5(-1)* · 2* k +1 Problem 2: (x- 1)3k. k=0 For the duration of this p...

A: Ratio test : Let ∑an be a series of positive reals and limn→∞an+1an=L. If L&lt;1, then the series is...

Q: (A\C) U(B\C) = Cu(BIA) %3D Prove this equivlance usaing set propicties: sta se

A:

Q: Base Вачe 2 11100010100.01101 01111111001.1I110

A:

Q: For what values of x is the tangent line of the graph of

A: Given  f(x) = 8 x3  - 24 x2 - 2x + 48f'(x) = 24 x2  - 48 x -2now the slope of tangent at any point o...

Q: Y+ 2 - 3W = -2 3x +y -z + 5w - 0 2* + y -2 + ow : o x + y -2 + sw :0

A: To solve the given system of equations using Gauss Jordan method. 

Q: 1) Chris built a rectangular prism Chris used 54 building blocks to make the first layer of the rect...

A: We know that volume of a rectangular prism=w·h·l   where w=width              h=height              ...

Q: y" +2y' + y = 8(t – 1) + e2t y(0) = 0, y' (0) = 0

A:

Q: Solve: 619,581 - 23,183 = Solve: 6747 + 321,105 =

A:

Q: Solve the following ODE using Laplace Transform: 1. 6y" + 5y" + y' = 0 y(0) = -2,y'(0) = 2,y"(0) = 0

A:

Q: Suppose a box contains 4 red and 4 blue balls. A ball is selected at random and removed, without obs...

A: We have to use Bayes theorem  In Bayes Theorem we find the posterior probability using the condition...

Q: The values of a and b, for which the function f(z) = ax + iy – 3y+ ibx, where z = x+ iy is a complex...

A:

Q: 2х + Зу — 42 3 1 Зх — у — 2z %3 4 4x — 7у — 6z %3 —7

A: To solve the given system of equations by cramers rule. 

Q: A marketing class did a survey of the number of fast food outlets near campus. The results of the su...

A: This is a problem of Set Theory.

Q: Solve the following problems, complete with free body diagrams, clear solutions, and complete final ...

A: The complete solutions are given below

Q: State the transformations of the following function: f(x)= -/4 – 3x +

A:

Q: Solve the following s OWI -D1 1 2 5 f 3 %3D

A: Given that e2-f5=1f-e3=8

Q: Decide whether the argument is valid or a fallacy, and give the form that applies. You'll love it, o...

A: Given  p-you 'll love it q-you 'll hate it  

Q: 31x = 14(mod127) 26x = 3(mod97)| 3(mod97) 17x = 87(mod101) 24x = 591(mod1001)

A:

Q: 404 students were surveyed about their preferences of sports. 126 students like football, 131 studen...

A: Solution

Q: A sequence is defined recursively by a1 = 9, a2 = 99, and An = 11ап-1 — 10аm-2 for n > 3. Use strong...

A:

Q: Decide whether the argument is valid or a fallacy, and give the form that applies. If she likes chee...

A:

Q: . Let G be a connected graph and e be a bridge in G. Must e be contained in any spanning tree of G? ...

A: We will form any arbitrary graph G  in which  'e' will be a bridge and then show e must be contained...

Q: Q7 Let A = [(p → q) ^ (~p + ~q)]. Construct a truth table for A and determine if it is a tautology, ...

A:

Q: , for x 1 Discuss the contuniuty of f and f'.

A: Given function is f(x)=x,                for x≤1-x2+2x  , for  x&gt;1 Continuity of f: LHL: limx→1-f...

Q: If F is a function and dom(F) is a set, then F is a set. Hint. Prove first that ran(F) is a set.

A:

Q: 4. Find the product of z1 = -8+3i and z2 = 6-9i in polar form %3D

A:

Q: 1. Which of the graphs below is a tree? Why? (c)

A: A tree is a graph in which two vertices are connected by exactly one path.

Q: Evaluate the natural logarithm of 21-29i. Express your answer in a RECTANGULAR form in 4 decimal pla...

A:

Q: In Exercises 1 through 24, determine whether the series is convergent or divergent by applying eithe...

A:

Q: 2. Suppose you are maximizing the objective z. Identify which one of the following statements is cor...

A: To find the solution of a linear programming problem with objective function maximization type, then...

Q: Write each of the following complex mumbers in the exponential form. (a) i cos (c) 1-1/3 584

A: We know that,z=rcosθ+isinθAnd, eiθ=cosθ+isinθTherefore, z=reiθ

Q: Find the Inverse Laplace Transform of the following: 2. Y(s) = /(2s– 3)5

A:

Q: Principal $10,000 Compounded semiannually The principal represents an amount money deposited in a sa...

A:

Q: Determine whether the statement is true or false Suppose L{f(t)} = es, then L{e' f(t)} = e¬s+ls – e-...

A: It is known that :Leatf(t)=F(s-a), where Lf(t)=F(s).

Q: Problem: In Exercises 33 through 46, use any method to determine whether the series is convergent or...

A:

Q: If the Moon is flat, then Rome is not in Italy. A) The Moon is not flat or Rome is in Italy. B) If ...

A: Concept: Conditional Propositions – A statement that proposes something is true on the condition tha...