Show that if ac|bc, then a|b.Show that if a|b and b|a then a=±b.

Q: Evaluate coth (3+8i). Express your answer in rectangular form in 4 decimal places and with no spaces

A:

Q: 2.4// Solve this assignment problem? 3 70 30 47 89 60 49 72 4 39 97 63 18 65 97 22 89 79 72 43 58 21...

A:

Q: 7. Regular measures. Consider the probability space (R, B(R*), P). A Borel set A is regular if P(A) ...

A:

Q: For the initisl value problem z"+4z' +13z =t, z(0) = -1,z'(0) = 1, the Laplace transform X(s) of the...

A: Properties of Laplace transform  L[y'']=s2Y(s)-sy(0)-y'(0) Ly'=sY(s)-y(0) Ltn=n!sn+1

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

A:

Q: Calculate: 101tpo 101gwo twe (Express your answer in base 2).

A: 1012.1012=?

Q: offered cooking classes 24 of the 30 days in November. What decimal is equivalent to the fraction of...

A: Introduction: The division is a basic arithmetic operation in which a larger number is divided into ...

Q: How many ways can you take (without replacement) 5 cups from 14 different cups? Select one: 40320 O ...

A: Let A be a set of n elements. To select r objects from a collection of n elements in the set A witho...

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

A: p q [(p→q)∧(~p↔~q)] 0 0 1 0 1 0 1 0 0 1 1 1 [(p→q)∧(~p↔~q)]p⇒q=q∨~p~p⇔~q=(p∧q)∨(~p∧~q)(~p...

Q: Consider a point xA = (x, y, w)' in image A, and a Fundamental matrix of the form fu f12 fi3 f21 f22...

A: Given: A point in image A, xA=x,y,wT and a Fundamental matrix of the form, FAB=f11f12f13f21f22f23f31...

Q: A basketball with a diameter of 9.5 in. is placed in a cubic box with sides 12 in. long. How many cu...

A: Volume is the measure of the amount of space occupied by a closed surface. It is measured in terms o...

Q: We solve the problem of determining the production of two products (x1, X2), unless their market pri...

A: 1st we will find total profit then will use  Method of lagranges multiplier to maximize it . To maxi...

Q: 6. Determine whether the following linear transformations are one-to-one. Are they onto? Justify you...

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: 10. Show that F; := 2²' + 1 is composite via Pepin's Test.

A:   ......(1) Here we are given the 7th Fermat number. We need to show that, 3F7-12≢-1(mod F7)

Q: Complete the following tables. * - 5 r- 3 72 – 6x + 9. r- 3 ² – 6x + 9. 2.5 3.5 2.8 3.2 2.9 3.1 2.99...

A: We can solve this by using definition of limit

Q: 2. Compute the Laplace transform of the function f(t) whose graph is given in the figures below. (a)...

A: We will use here formula for integration by parts 

Q: In how many ways can an elf climb a staircase of 15 stairs if each step it takes can cover 1 or 2 or...

A: We will use the recurrence relation to find the number of ways in which an elf can climb 15 stairs.

Q: S F(s) = (s+5)6

A: Use partial fractions to split the function then use laplace table.

Q: the general solution of the differential equation 2xy dx + (x^2 + 2) dy = 0

A: Given Differential equation is 2xydx + (x2 + 2)dy = 0

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: Question 1. Suppose that G = xy = yx². {e, x, x², y, yx, yx²} is a non-Abelian group with |æ| = 3 an...

A:

Q: Decide whether the argument is valid or a fallacy, and give the form that applies. If my favorite ba...

A: Given: Let p be the statement "my favorite band comes to town", q be the statement "I will go to the...

Q: P is regular if all Borel sets are regular. Define C to be the collection of regular sets. (a) Show ...

A:

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: Find the surface integral F. dS of the vector field F(x, y, 2) = (-æ, -y, yz®) along the part of the...

A: The complete solutions are given below  

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

A: The complete solutions are given below

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

A:

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: Provide the missing column titles in the truth table. TT T TF F F F T T F FF F T F

A:

Q: or which the fu E, where z = x+ W

A:

Q: Let p and q be the propositions, p: Danny gets A+ in Discrete Mathematics. q: Danny is good in mathe...

A:

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: 2. State in words a possible physical interpretation of the given initial value problem in part (c).

A: Given (c) 517x''+4x=0,  x0=x'0=0

Q: 2. Construct the truth table for the formula (A→日→ ((B→9>) → A

A: We have to construct a truth table for: (A→B)→[{(B→C)∧¬C)→¬A

Q: 8. Which inequality is true if x = 7.3? A. 4.8x > 32 B. 3x > 21.9 C. 3.4x 2 25 D. 2.5x > 20

A: The given value of x is 7.3.We will substitute this value of x in the given inequalities and check w...

Q: When each member of the population has an equal probability of being chosen, the sampling method is ...

A:

Q: Suppose L{f(t)} = F(s), for some function f (t). What is the Laplace transform L{t² f'(t)}? F"(s) – ...

A: Some of the properties of Laplace transform Ltnf(t)=(-1)nFn(s) Lf'(t)=sF(s)-f(0) Some of the prope...

Q: a. Show that the trace of an operator is basis independent, i.e Tr(C) = E = E %3D

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

Q: 3 Estimate the minimum number of subintervals to approximate the value of| (4t° + 9t) dt with an err...

A:

Q: (a) Identifying whether a function is a convex function is useful because a convex function's local ...

A:

Q: How many ways can you choose 2 letters from the letters A T C ? Select one: 1 O 720 3

A:

Q: CAC)UCEIC)= CulBIA) %3D a) use a truth table the equality b) use set pro preties to prove the equali...

A:

Q: The half-life of a radioactive substance is 8 days. State an exponential function that models the pe...

A:

Q: Simplify the following logical expressions using the laws of algebra of propositions. [(p → q) → q] ...

A:

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: The velocity field in the region shown is given by V = ( aj + byk ) where a = 10 m/s and b = 5 s-1. ...

A:

Q: Write down the dual of this LP. Solve this LP using the two-phase simplex algorithm.

A:

Q: Let G = D10 × Z/7Z, where, as usual, D10 = (a, b | a5 = b² = e, ba = a*b) Let H ((b, 1)) and K = D10...

A: Since you have posted a question with multiple subparts, we will solve the first three subparts fory...

Q: Imagine that you have a sack of 3 balls th= four hypotheses for the distribution of colo (3) 1 is re...

A: