7. If [G: H] = 2, prove that gH = Hg (18 from 6.5)

Q: The 15 But the Real number blally ordered Complex

A: This is the question of topology.

Q: Let (an)neN be the sequence with a₁ = = 2 and an+1 = √16an 15 for all n = 1, 2, 3, . . .. (a) Show…

A: The given sequence is an+1=16an-15, a1=2. (a) To Show: (an)n∈ℕ is bounded above. (b) To Show:…

Q: Consider the following differential equation. ydx - 3(x + y5) dy = 0 Find the coefficient function…

A:

Q: Question 6 (a) Near a surface buoy the depth of a lake at the point with coordinates (x, y) is given…

A: Let us start solving the problem step by step  (a) Given coordinates are (x,y) Z=100+0.05x^2-0.02y^2…

Q: 1. Let f(x) = 3x-x² be defined on [0,2]. Find the right Riemann sum relative to the regular…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: (1) 2xyy² + y² = 2x²² separable □ exact linear in x linear in y □ homogeneous Bernoulli in x…

A:

Q: a) Given f(x)= x³ - 6x +1 i) Find the exact value of f(1.22) ii) Determine the error value, absolute…

A: In the given problem the definition of Error, Absolute error, and relative error are being used.…

Q: The gcd (₁5,₁8) is: U15, U18 a) 2 b) 3 c) 5 d) 1

A: We need to find gcd(u15, u18): since U(15)={1,2,4,7,8,11,13,14} so order of U(15)=8 that is u15=8…

Q: التاريخ الموضوع @/ using the integration test the series n³+n $ for apart Lin= √² +21² +2 A true…

A: Please see the attachment  Series is divergent.

Q: Determine the least upper bound (in R) of the set 2 A = {3-2² ²₁ ²n=N} :neN}. + 1 You must fully…

A: Please see the attachment

Q: B: Solve the following equations by Jacobi Iteration Method. 8 X₁ + X₂ X3 = 8 X₁ - 7 X₂ + 2X3 = -4…

A: Sol. Let,          X₁=X           X₂ =Y           X₂ =Z

Q: f (x) = 3c³ -3x² + -3 at x= - 1

A:

Q: Q4/ Find a root by using Bisection method, lying between 0 and 0.5 with error 4% ,the equation 4e*…

A:

Q: Let C be a closed contour and zo be inside C. If P(z) is a polynomial of degree n, prove that P(z)…

A:

Q: The order is for Compazine 15mg by mouth four times a day as needed for nausea.  On hand is…

A:

Q: Make up the derivation of Eq. (8.4) Wrect (@p) +2 ΣWrect(t)e-ipt = e-ipT(N-1)/2N sin(@pT/2)…

A: As per the question we are given the expression for DFT of the rectangular window function wrect(tk)…

Q: Q3:A. Determine the following function U is harmonic or not U = 3 + x y cos: cos sin

A:

Q: There are two classes of students. Class A has 15 students and class B has 12 students. The teachers…

A:

Q: Solve the equation by the method o f linear differential equations dx (1-3xy) y² dy xy³ = ² + C yx³…

A: The given problem is to solve the given ordinary differential equation by the method of linear…

Q: 4

A: We use theorem of order of group and order of elements of group .

Q: Hubert's job is to shovel 3/4 of the driveway whenever it snows. If he gets 1/3 of the driveway…

A: He gets 1/3 of the driveway shoveled right after the snow stops, and does another 1/4 of the…

Q: Q4:A. Find vector field of {(1,0), (1, 1), (1,-1), (-1,0),(-1,-1)] For transformation f(x,y) = (1,2)

A: Given that: 1,0,1,1,1,-1,-1,0,-1,-1 for transformation f⇀x,y=1,2. The objective is to determine the…

Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(3, 6) = -7, us (3,- 6) =…

A: Please see the attachment

Q: Calculate Sxe 0 re-L₂ (x)L(x)dr by using Recurrence relation of Laguerre function, Ln

A:

Q: (b) Let N(1) be a a zero-mean white Gaussian noise random process. Define V = N(t)dt. Find mean and…

A:

Q: Consider the solid that lies below the surface z = xy and above the following rectangle. R = {(x, y)…

A: Using midpoint rule volume will be equal to  V=A∑fa,bWhere A= Area of each rectanglea,b are centers…

Q: No. Date Evaluate fff dv G x² + y² where G is a solid that lies inside cylinder *+(4-2)² =4 obove…

A: we will use cylindrical co ordinate system to solve the given integral

Q: Given f(x) = x3 + 5x2 + 2x - 8 a) Solve for f(x) > 0 and f(x) 0 and < 0

A: Let us consider a polynomial p(x)  The factor of the polynomial is obtained by using the hit and…

Q: Solve the following equations by Jacobi Iteration Method. 8 X₁ + X₂ X3 = 8 X₁ 7 X₂ + 2 X3 = -4 2X₁ +…

A:

Q: Q2: The line width of for semiconductor manufacturing is assumed to be normally distributed with a…

A: Please see the attachment

Q: Which of the following is a tautology? a. (pvq) →q b. (p^q) →q c. (pv~q) →q d. (p^~q) →q

A:

Q: Find (A) the leading term of the polynomial, (B) the limit as x approaches ∞o, and (C) the limit as…

A: Solution

Q: Q2/ A string fixed at both ends with a unity length subjected to the given condition. Solve the…

A:

Q: Let f [0, 2] → R be a continuous function, with ƒ(0) ≤ f(1) ≤ f(2). Show that there : exists xo [0,…

A:

Q: Write a triple integral, including limits of integration, that gives the volume between z+y+z=2 and…

A:

Q: A small plant manufacturing riding mowers. The plant has fixed costs (leases, insurance, etc.) of…

A: Given that a small plant manufacturing riding mowers. The cost equation is y=45,898+1,287x and the…

Q: = A. Determine is the following series converged or not and find sum of it 3 3 3+ + +... 4 16

A:

Q: Consider the solid Q bounded by the surfaces S₁: z-1= (y-2)², S₂ : x + y = 2, S3 : x = 0, S4 : y =…

A:

Q: only Q3: It is given that ε = {x: x is an integer, 1 ≤ x16} A = (x:x is a perfect square} B = {x:x…

A:

Q: A/ Solve the differential equation. (2x² + 3y²-7)x dx - (3x² + 2y² - 8)y dy = 0

A: According to the guidelines we are supposed to do one problem.

Q: Consider the solid Q bounded by the surfaces - S₁z1 = (y-2)², S₂ : x + y = 2, S3 : x = 0, S4 y = 0,…

A:

Q: In some country, 90% of the daughters of working women also work and 20% of the daughters of…

A:

Q: f(x)= x³ + 4X² - 10 .Xo = 1, Accuracy=0.001

A:

Q: Q1: A. Determine is the following series converged or not and find sum of it 3+-+ 3 3 4 16 +...

A: We have 3+34+316+... Now,  3+34+316+...=31+14+116+...=3∑n=0∞14n Series geometric test: A series…

Q: In a right spherical triangle ABC, B=90°. Using Napier’s first rule, what is the simplified form of…

A: There are two Napier's rules that are used to solve the right spherical triangles.

Q: Let A = O O 5 31 5 0-31 36 Find a unitary matrix U and a diagonal matix D H U₁AU = D.

A: Unitary matrix: U#U=UU#=I

Q: Find f'(x) and approximate (to four decimal places) the value(s) of x where the graph of f has a…

A:

Q: 5 Find & coordinate of the center of mass For Solid G is the solid in the first octant 2 bounded by…

A:

Q: Draw the curve r = 2 cos 20 and calculate the area enclosed by this curve

A: We have to draw the given curve and calculate the area enclosed by this curve.

Q: Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate…

A: Given initial value problem  x2+y2-3dx=y+xydy where y0=1.