Q4:- if you know that data ( 12, 10,12,10, 10,6) find the :- Mode, median, mean, variance and standard deviation ?

Q: (29) π/3 177³- _csc ada π/4

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Q: * Use the Integral Test to evaluate the series for convergence. 1 Σ(min+5) – 4η + 5, η=1

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Q: (27) Evaluate the integral: 1 (5t+4)2.7 dt

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Q: Find the eigenvalues A1 A2 < A3 and corresponding eigenvectors of the matrix The eigenvalue A1 =…

A: Here the given matrix is                                       A=-2 9   12   0 1-12   0 0     4 We…

Q: -1 BBBB 7 -1 ind the coordinate vector of x = -5 with respect to the basis B = 0 for R³.

A: Solution

Q: PROBLEM For any >0 show that the series Σ exp 1 n²+e converges almost everywhere. 2 logn (√…

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Q: Jse Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

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Q: Give a non-zero vector in the null space of A. 4 A = -4 -5 2 4-3 -55-3 -1 1-5 -3.

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Q: aplace transform for L'" (ett (e4r + cosh 2t)dt

A: Laplace transform of the function

Q: Solve the following system using the Newton-Raphson method for one iteration, given that…

A: We will use the Newton Raphson method of dual variable to solve the given system…

Q: Basis: Find a basis of the row space of the matrix EE A = 03 -1 -1 3 0 1 -5 1 4 1 0 1 -2 -1 -6 5 -2…

A: First reduce into echelon form then find basis of row space, as in next step.

Q: For the F(x) function shown in the figure, find P(0≤x≤0.5) F(x) 1 1 2 O 0.4999 O 0.5000 O 0.5999 O…

A: Solution

Q: Let B be the basis of R² consisting of the vectors and let C be the basis consisting of Find a…

A: Solution:-

Q: Let V, W be two matrices of the same order. If all entries of V are nonzero, then we say that X is…

A:

Q: 1. Find the remainder when P(x) = 5x³ + x + 5 is divided by x + 3. 2. Find the remainder when P(x) =…

A: .

Q: * Use the Integral Test to evaluate the series for convergence. ∞ 1 Σ[nancy] n=2

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Q: The coefficient matrix A below is the sum of a nilpotent matrix and a multiple of the identity…

A: We have  X' =3503x,   x(0) =57 Here matrix,  A = 3503 = 31001 + 0500 = D + B Where D = 3I and B is…

Q: find an approximate value of y 1

A: Given,        dydx=xy12 and x=1, y=1

Q: Q₁: (A) Let R be a ring with identity. Define g: Z → Z by g(x) = x. 1, Vx € Z. Is g a homorphism?…

A:

Q: Q6) Find the approximate value of A and B in ya = x(1-x)(A + Bx) where y + x² = 0 and y(0) = y(1) =…

A: Given differential equation with condition is y''+x2=0, y(0)=y(1)=0 Given approximate solution is…

Q: Use Laplace transform to solve the partial differential equation: d²u du du(x,0) = t> 0, 0<x<1,…

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Q: Use separation of variables and find (if possible) product solutions for the following PDEs : 1. Ux…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Every commutative group has at least element ??

A: Every commutative group has at least               element ?  We know that , every commutative group…

Q: Given the force field È (x, y, z) = .) Show that FdR is independent of path without computing for…

A: Please find the answer in next step

Q: 1. Below shows the graph of y=2* ,sketch the graph of (a) y=(-2) (b) y= log₂ x (c) y= log₁x 2 -4 -3…

A: Solution:-

Q: (B) Explain the relationship between any three of the following a) Ideal and subring. b) Prime ideal…

A: Solution :-

Q: Find the Laplace transform of 1. _ƒ(t) = ½ [1 − U2„(t)](2 sin t – sin 2t) - - 2

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Q: Define the concept of the ring. Is (Z,+.) a ring? What's about (Z, +,.)?

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Q: ABCD is a square and E is the intersection point of the diagonals. If N is any point on AE, show…

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Q: If u1= then A(01+02) = and A(-201) = and 2 = Gl are eigenvectors of a matrix A corresponding to the…

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Q: Problem 9. Consider a triangle and its inscribed circle. Join each vertex with the point of tangency…

A: Given: AB=c, AC=b,BC=a

Q: Given are the following nonlinear equation -2.x 4x²-36=0 two initial guesses, x, = 1 and x₁ = 4, and…

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Q: A is subset of X   Show that X=int(A) U ext(A) u Fr(A)

A: Solution:-Let X be a topological space and A⊂X. Show that X=int(A)∪Fr(A)∪ext(A), this being a union…

Q: ₁ = [₁] and √₂ = [1] ₁ A is a 2 x 2 matrix with eigenvectors V₁ Find A⁹x. 131075 256 A³x = 131069…

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Q: (32) Find the derivative: cos(x) de (Jade) √ 1 - 13dt) (S dx

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Q: Prove or disprove any of the following ny abelain group is simple. The union of two cyclic groups is…

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Q: +1 5*+¹-2(5*)=3

A: Solution :-

Q: A and B are n x n matrices. Check the true statements below: A. An elementary row operation on A…

A: Solution :-

Q: 2. Find the volume of the solid generated when the region enclosed by the curve y = x² + 1, y = 4x −…

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Q: Let R be the region below enclosed by the curves z = 2-y², y = −sin (7), and x = -1, as shown below.…

A: Using the Washer method (To set up only integral), to find the volume of the solid generated when…

Q: Q 1- Find the solution to the following system of equations using the Gauss-Seidel method. 10x + 2y…

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Q: Two software companies sell competing products. These products are substitutes so that the number of…

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Q: Q3: Find f(t) (Inverse Laplace Transform )of the following functions nn 1. F(s) = 2.F(s) = s+1 s4+5²…

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Q: A homeowner wants to install a new marble countertop on their kitchen island. They take measurements…

A: The cuboidal island has the dimension l=2 ft, w=3.5 ft, h=4 ft.

Q: Let R be the region below enclosed by the curves x = 2-y², y = − sin (77), and x = −1, as shown…

A: Given: y=-sinπ2x To find: Area of R using vertical rectangles

Q: If the coefficient of correlation between two variables x and y is 0.5 and the acute angle between…

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Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

A: As per yhe guidelines we are supposed to solve the first questions only. kindly post another…

Q: 3) Find the volume of the solid under the plane z = x -y and above the region bounded by x = tan y,…

A: Note: According to our guidelines we can answer only first question 3)

Q: Q₁: (A) Let R be a ring with identity. Define g: Z → Z by g(x) = x. 1, Vx € Z. Is g a homorphism?…

A: Ring homorphism

Q: Let A be a Hermitian matrix with eigenvalues A1 A2 > An and orthonormal eigenvectors U₁,...,Un. For…

A: