Let G be an abelian group, then (acba)(abc)¯1 is

Q: . Let p: G → H be a group homomorphism. a) p(1g) = 1µ; b) p(a-1) = [9(a)]-1,va E G;

A: We have: to use definition of homomorphism:

Q: Let T be the triangular region bounded by the lines y = x,0 <x 1. By using the transformation x = u+…

A: If f is continuous on R , then ∬R fx,y dA=∬S fgu,v,hu,v∂x,y∂u,v du dv where…

Q: Consider the following. ² (x +3 - 3) dx Select all that apply. The integral represents the area…

A:

Q: Let G = . The smallest subgroup of G containing a^8 and a^12 is generated by * a^12 a^4 a^6 a^2…

A: Smallest subgroup a^m &amp; a^n  is a^gcd(m,n) = a^gcd(8,12) = a^4 So option 2nd are correct

Q: Solve the linear programming problem by the simplex method. Maximize P = x + 4y - 2z subject to 3x +…

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Q: 454 nearest c. What is the measure or a d. How much more guy wire would be neede wire were secured…

A: When two triangles  ABC and EFG are similar then  Their sides are  AB/EF = BC/FG

Q: Exercise 4. Consider the following permutations in S9 (1 2 3 4 5 6 7 8 9 (1 2 3 4 5 6 7 8 9 and 7 =…

A: Given σ=123456789352146978 and τ=123456789526713894 (1) We have to write στσ−1 and τ2…

Q: Determine whether is a linearly independent set of vec- 3 11 tors in R3.

A: A set of vectors v1,v2,v3,…,vk in a vector space is said to be linearly independent if…

Q: Let 1 2 3 4 5 6 1 2 3 4 5 6 6 1 2 4 3 5 a = and ß %3D 2 1 3 5 4 6 Compute each of the following. 1)…

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Q: Consider the two equations x² + 4y² – 9 = 0 and 18y - 14x2 + 45 = 0. (a) Graph the two equations…

A: The solution to the quadratic equation ax2+bx+c=0 can be represented using the quadratic formula as…

Q: A quick approximation is sometimes useful when an exact answer is not required. (a) Given any…

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Q: 3. Given the formula R = log() + B, which is the formula for the magnitude of an earthquake.…

A: Given,

Q: Consider the group G = {x E R|x # -1/2} under the binary operation*: x * y = 2xy – x +y– 1. An…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: he table shows both the number of a certain type of graphing calculator in demand and the number…

A: (a) Suppose the logistic function for demand is: Dp=a1+betp. Here, 60≤p≤210. Paste the values in…

Q: Let G be a group. Let x,y e G be such that O(x) = 4, O(y) = 2, x^3 y = yx. Then O(xy) is 6. Infinity…

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Q: Write the first and second partial derivatives. g(r, t) = t In r + 13rt7 - 4(9) - tr gr = 9rr = 9rt…

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Q: Which of the following is cyclic? * O U30 O U50 O U20 O U40

A: B is the option:-U(50) As per the guidelines we can only solve one question at a time. Thank you.

Q: Compute the determinant using cofactor expansion alon 103 211 015

A: Given matrix is          A=     103211015Co-factors Mij :            M11=5-1= 4   , M12=-(10-0) =-10…

Q: Suppose that v1, V2, . . . , Vn are linearly independent column vectors in F“:* and let e1, e2,...,…

A: Given that v1,v2,…,vn are linearly independent column vectors in Fn,1 and e1,e2,…,en be the…

Q: What cycle is (a,a2 ... an)¯1?

A: (a1 a2.... an) -1  =  (an an-1 .... a1)

Q: Use the left regular representation of the quaternion group Q8 to produce two elements of Sg which…

A: Fix the labelling of Q8 , Take elements 1, 2, 3, 4,  5, 6, 7, 8 are 1, -1, i, -i, j, -j, k, -k…

Q: Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: 4 In the group GL(2, Z¡), inverse of A = 3) This option

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Q: ate! evlo2:

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Q: Let (X, d) be a metric space and E a non-empty subset of X. An element à ₹ X is said to be on the…

A:

Q: A demand function and a supply function for the same commodity is given. D(p) = 35 -7 In p million…

A: a) 60 (Ps, S(PJ)) = (3,3.790) • Producers are willing to supply [3.790 millionunits at Below a…

Q: 2. Find the equations of the straight lines that pass throúgh the following'sets of points: 21 (2;…

A: 2. Explanation: Given that two points and we need to find the equation of the line.     Formula…

Q: Suppose v1, V2, ..., Vm E V. Prove that {vı, V2, ..., Um}+ = (span(v1, v2,….., Vm))“.

A: Given,v1,v2....vm∈V To prove :      v1,v2....vm⊥=span(v1,v2....vm)⊥⇒v1,v2....vm  is a set of…

Q: A traffic light on campus remains red for 55 seconds at a time. A car arrives at that light and…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.