QUESTION 2 a) What is the equation of the straight line that passes through the points (1,-4) and (6,1)? b) Find intersection point for both equations 2x-3y = -5 and 3x + y = 9.

Q: QUESTION 8 Consider the following 3 permutations in S10: o= 1 2 3 4 5 6 7 8 1 4 5 6 8 10 7 9 9 10 2…

A:

Q: 22. The sum of the measures of the interior angles on the drawing of the site plan below equals D in…

A: We know that the sum of interior angles of a polygon is ( n − 2 ) × 180°. where n is the number of…

Q: y" + y = cos3x cos 6x

A: Given that: y" + y= cos3x cos6x y" + y =(1/2)(cos9x + cos3x) --(1) This imply  (D2 + 1)y=(1/2)(cos9x…

Q: 4. 5. 6. Solve (-5+9i)/(1-i) Solve (5-41)/(-2+6i) Solve (3+5i) - (11-9i)

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

Q: and suppose that we have the following row reduction to its RREF B. [00-481 [17-180] 856 1 460 856 1…

A: First we find the row operations step by step.

Q: ]i+ 5x sec² (xy) —- 3] + [6 y j+(6xz+2) e³x² –3]k, For F(x, y, z)=[5ysec²(xy)+6z²e³² find the curl…

A:

Q: Chapter 6, exercise 4.3: (a) Compute the left cosets of the subgroup H = {1,x5} in the dihedral…

A:

Q: Convert the following Linear Program problem to standard form. Maximize: Subject to: 2x+y 0≤x≤ 5 0≤…

A:

Q: Use Euclid's algorithm to find gcd(340, 144). Hence find Icm(340, 144). [Show your working.]

A:

Q: Find a, the average f(x) value, of the following function f(x) = Ax²-2, -1<x<1; f(x) = f(x+2) Where…

A: Given f(x)=Ax^2 -2; We have to apply the Fourier series to find the required answer.

Q: Let 3 denote the centre of a group G. then show that a 3 iff N(a) = G. also show that if G is…

A:

Q: Suppose ne N. Let S be the following statement: If n is prime, then 2n + 1 is prime. (a) Write down…

A:

Q: Prove that the cube 0≤ ≤ 1,0 ≤ y ≤ 1,0 ≤ ≤1 is a normal domain.

A: Please find the attached answer.

Q: ABC is a triangle and A = (2, 3, 5), B = (-1, 3, 2) and C = (2, 5, µ). If the median through A is…

A:

Q: Solve the Goursat problem: = 0 Utt- c²Uxx u|x-ct=0 = x² u/x+ct=0 = x² nt: Use the formula for…

A:

Q: Q15C. Define the sets A, B, C, and D as follows: A={yEZ:2<y≤ 9 and y is odd}. B = {1, 4, 6} C = {y…

A:

Q: Decide whether each of the following statements are true. (a) If a, b, m, n N and a | mand bn, then…

A:

Q: ydx - xdy + 3x²y²e*' dx = 0

A:

Q: Explain what geometric problem As there local ०४ is solved here and global constraint- d

A: Please find the attached solution

Q: Suppose n ∈ N. Let S be the following statement: If n is prime, then 2n + 1 is prime. (a) Write down…

A:

Q: Let A = {1, 2, 3, 4, ..., 20}. What is the cardinality of the power set of A, P(A)?   Fill in the…

A: Cardinality of Set --: The Cardinality of a set is the total number of unique elements in the set.…

Q: 1. Consider R4 with the usual dot product. a. Find a basis for the orthogonal complement of the…

A:

Q: Question 1 Find the first four terms of the sequence. b; = (-1)³ fo for j ≥ 0

A:

Q: [1 2] ---- 3 4 and B 5 6 Let A = T1 2 3] 4 5 6 Tick the option(s) that are mathematically valid…

A:

Q: Problem #3: Use Green's Theorem to evaluate the following integral Problem #3: Sex dx+(6x + 7) dy…

A:

Q: In a recent year, 5 out of 7 movies cost between $50 and $99 million to make. At this rate, how many…

A:

Q: . Evaluate the geometric series ²1 12 n=1 9.5n-1

A:

Q: Minimize z = 3x + 4y 4y+ 6x > Subject to 2y + 2x 3y + x > ● ● x IV IV Y 0 Solve this using the…

A:

Q: [-17 2 Let A = 2 -14 4 P = N N 2 2 4 . Find an orthogonal matrix P with rational entries and a…

A: Consider the given matrix, A=-17222-14424-14 It is required to find an orthogonal matrix P with…

Q: Find the least squares line for data (1,1), (2,1.5),(3,3),(4,4.5),(5,5). Question. Identify the AT…

A: From the above data  Matrix A is given as below So option (d) is correct

Q: Evaluate p(x) = 2x4+x²-3x²-x-5 at x = 2 33.a O 183.b O 21.CO 145.d O

A:

Q: (a) Let G be an abelian group and show that any subgroup H of G is a normal subgroup of G

A:

Q: Provide complete and clear solution for each question. Work Problem 2 ( +2 x²-x6 x²-100 x+10 B. Find…

A: 8

Q: The monthly revenue R achieved by selling x wristwatches is figured to be R(x)=75x-0.2x². The…

A: As per our company policy, we are supposed to answer only the first three sub-parts of the question.…

Q: 2. A sequence qn is defined by q1 = 1 and qn+1 = 2qn+2" for all n ≥ 1. Suppose you want to prove the…

A:

Q: Find the root of the function using the following methods. b- False Position

A: False Position Method:              The false-position method to find the root of the equation…

Q: Solve the D.E 3 ²√√x 2 2 +y xy√x² X ² + y² 2 + y

A:

Q: Determine the pivot element in the simplex tableau. (If there is more than one correct pivot…

A:

Q: A company has $7,490 available per month for advertising. Newspaper ads cost $170 each and can't run…

A:

Q: A manufacturing plant makes two types of inflatable boats: two-person boats and four-person boats.…

A: Let two person boat is denoted by x and four person boat is denoted by y Therefore Max Z=25x+40y…

Q: Formula for rebate fraction

A: Introduction: The Rebate fraction is calculate by summing of the digits of the number of payments…

Q: Compute the following integral by hand, using an appropriately chosen contour integral in the…

A:

Q: In Exercises 8 and 9, which of the given subsets of the vector space, P2 are subspaces? 8. The set…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Consider the integral fe‡ dx. (a) Approximate the integral by the Trapezoidal rule using n = 4. (b)…

A:

Q: Q6. What is a11 for the geometric sequence with a₁ = 4 and r = 4?

A: Given,  First term a1=4 and r=4  nth term in geometric sequence an=arn-1 , where a is the first term…

Q: Find the mass of an object with density p(x, y) = x4 if the object is a region D bounded by x² and…

A:

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A: Given function is fx,y=x2+y2+z2 and contraint x4+y4+z4=7. To Find : Extreme value of the function…

Q: Prove by induction on n that for all n € N, <2 14+24++(n-1)4 < (When n = 1, the sum on the left-hand…

A:

Q: (e) Check as to whether the group S3 is abelian or not [NB: You need not check that S3 is a group as…

A:

Q: In Exercises 5 and 6, which of the given subsets of the vector space, M23, of all 2 x 3 matrices are…

A: