Represent the product [a* · (b* × c)][m* · (n* × p*)] as a sum of such terms, which contain scalar (dot) products of vectors only.

Q: or a large company and ask each whether they favor aple. 6 favored the new policy, find an estimate…

A:

Q: Solve the followig non linear gebraic equation to fined one non Zevo root. P(x) = Sin [√ Secx + x…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

Q: Problem 4. Let (X, dx) and (Y, dy) be metric spaces. Show that the sup norm metric do we defined on…

A:

Q: A mirror and a source of light are situated at the origin O and at a point on OX, respectively. A…

A: Let the co-ordinate of the source of light is Xa,0,0 where a≠0 The mirror is at origin that is at…

Q: Solve the Goursat problem: [Utt Utt- c²Uxx u|x-ct=0 = x² u|x+ct=0 = x¹. nt: Use the formula for…

A:

Q: Suppose n ∈ N. Let S be the following statement: If n is prime, then 2n + 1 is prime. Is S true? Is…

A:

Q: ydx - xdy + 3x²y²e*' dx = 0

A:

Q: There are two more questions pleade

A: I have to answer for part-d and part-e, so i use the previous result .

Q: 5. Determine if the statements below are True or False. If it's True, explain why. If it's False,…

A:

Q: Find the family of graphs G of order p such that y(G) = p.

A: Please find the attached solution

Q: (b) Let G=(Z8, +) and f: GG be defined by f(x) = 2x and show that f is a homomorphism that is…

A:

Q: Jim's Camera shop sells two high-end cameras, the Sky Eagle and Horizon. The demands and selling…

A: Answer :

Q: Estimate the volume of the solid that lies below the surface z = xy and above the following…

A:

Q: Let W₁ and W2 be subspaces of some vector space such that the set-theoretic union W₁ U W₂ is also a…

A: Given that, W1,W2 be subspaces of a vector space V such that, W1∪W2 is also a subspace. To show:…

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: 1. Let a, b, c E Z and n E N. Assume a = b (mod n) and b = c (mod n). Prove that a = c (mod n).

A:

Q: (iv) d(u, v) (v) angle between u and v. (vi) proj,u

A:

Q: Compute the determinant of the matrix A, below, by using row operations to transform A to an…

A: Given, Matrix A = -8-2-6-7010-9400-10701041-39 We have to determinant of the given matrix by using…

Q: 6. Consider the sequence defined recursively by 1 2 an+1 = an + N an If ao = 1, does the sequence…

A:

Q: an=y TE TT/2 COSX, Cosnxdy

A:

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

A: Please find the attached solution

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

A: Given,

Q: 3 Look at the boxed result on page 417. Now determine which of the following improper integrals…

A: It is already known that: ∫1∞kxndx : converges if n>1. diverges if n≤1. Here, k, n are…

Q: angle D is 25° 42'. Angle E = ● +1.125 -3.00 A 4.00 B 58 degrees, 18 minutes 64 degrees, 56 minutes…

A: Please find the answer in the next step in details.

Q: See how th e Rayleigh quotient method ap­proximates the dominant eigenvalue more rapidly than the…

A: Given : A=310131013 , x0=111 , k=6 To find : Dominant eigen value.

Q: C. Write down a sequence for the number of shapes/dots in each pattern. Explain how to obtain the…

A:

Q: For the graph of a function shown to the right, find (a) the domain and range, (b) the intercepts,…

A:

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

A:

Q: A bicycle factory runs two assembly lines, A and B. 97% of line A's products pass inspection and 95%…

A:

Q: Find the volume of a pyramid with height 27 and rectangular base with dimensions 3 and 9 using…

A:

Q: a. Given that 22³ ... 3z + 1 can be expressed in the form Ax (x²+1) + Br+ C, find the values of the…

A:

Q: (b) Let T: R³-R¹, T(v)=(v, w) w; +(v,w₂)w, where w; = (1,-1,0) and w₂ = (0,-2,1). (i) Find the…

A: It is given that,  T : ℝ3→ℝ3 be the linear transformation defined by ; Tv = v, w1w1 + v, w2w2…

Q: AN Solve the following to find one real non zero root: non-linear algebraic equation f(x) = sin…

A: The given functon is,fx = sinsecx +x3 e5xtanx -e-x To find: One non-zero real root of the  above…

Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph…

A: Domain of the function is set of all the points where the function exists. The graph of the function…

Q: ) Let R be a commutative ring and f : R → S be a ring isomorphism. Then (i) check as to whether S is…

A:

Q: Q₁. Construct a connected graph with at least 12 vertices such that the minimal dominating set has 6…

A: Please find the attached answer

Q: b) Find an integer x such that 37x = 1 (mod 101).

A:

Q: 5.8. Let R = C[t]. Show that S = R[x]/((x)^(x, t)²) is not flat over R.

A: please find the attached answer

Q: Problem 4 Find the Fourier coefficients a, and ak of the following waveform X(t)=2t 0<t<1 -2 -1 x(1)…

A:

Q: 53 If the probability of an event is what is the probability of the event not happening? 92 Write…

A: If A is an event and A^c denote the complement of an even then it is well known that P(A)+P(Ac)=1.…

Q: Prove that for any graph G, y(G) ≤ 2ir(G)-1.

A: Please find the attached solution

Q: Question 1 y varies directly as x. If x = 8 then y = 4. Find y when x = 5. y = Question Help:…

A:

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 30 bushels of fruit. She…

A: For every additional tree planted, yield decreases by bushels.  Question can be solved by using…

Q: Continuing with the same problem as above: Suppose L(x) = -5x + 1 is the local linearization to h(x)…

A:

Q: Subgroup H of a group G is a normal subgroup of G if and only if the product of two right cosets of…

A:

Q: Let A = {p , q, r, s, t, u, v}, and let R be the following equivalence relation on A: R = { (p, p)…

A:

Q: 3. Ruel is the brother of Bella. Dina is the sister of Ruel. Matthew is the brother of Tanya. Tanya…

A:

Q: A company manufactures Products A, B, and C. Each product is processed in three departments: I, II,…

A:

Q: A piece of land is triangular in shape. Two of its sides are measured as 80 ft and 100 ft, and the…

A:

Q: Let A, B E Rnxn and let R[x] be the set of all polynomials in variable x with coefficients in R.…

A: