Q1A)The vectors A=i-j,B=j-k, and C= 3i-k, find triple dot (AXC).B . B)Convert = cos ¹(r-1).

Q: A piece of sheet metal is rectangular, 6  wide, and 9 ft long. Congruent squares are to cut from…

A: Note the following fact : For the single variable differentiable  function y=f(x) has maximum value…

Q: 3. (a) Discuss convergence of the sequence {n} defined by the recurrence relation ₁ = 2 and n+1 = (n…

A: We have to discuss the convergence of the sequence xn defined by the recurrence relation x1=2 and…

Q: Let H be a subgroup of G. 1.show that (gHg^-1\g€G) is the smallest normal subgroup of G containing…

A: Given : H be a subgroup of G. To show :  gHg-1 = ghg-1 : g∈G, h∈H is the smallest normal subgroup of…

Q: net H be a Hilbert space. Consider A, B & BL(H) & REK. Then prove that A is invertible iff. A* is…

A: Please find the solution in next step

Q: what do all these things have in common A. Milk jug, teacup, bathtub B. Mouth, zipper, gears

A: (A) Milk jug , teacup and bathtub common in these things is that they all use store liquid.

Q: Is this true or false? The radius of convergence for 00 ΣΘ n=0 is R = Show why your choice is…

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Q: (a) Suppose f: (a, b)→ R is continuous. Show that if f(a) and f(b) are finite(i.e. <x), then f is…

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Q: 1: 4t² y" +8ty + y = 0 2. 3t² y" - 2ty - 2y = t² - 3t

A: We can solve the given differential equations. Note: As per our Guidelines, we can solve first…

Q: a) 27 " dᎾ 5 + 4 sin 0

A: To solve the given integral  ∫02πdθ5+4sinθ

Q: The point P(12, -5) lies on the terminal side of a trigonometric angle....Determine the exact value…

A: Here given that P(12,-5) The terminal side of the trigonometric angle  It is clear from the…

Q: Where do the curves of y cos(x) and y = x³ - 1 = intersect? Use bisection.

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Q: Which option is not correct? 0000 0000 The set X=2 The set X=2 The set X=2 3 -0. 3 The set X = 2 is…

A: Let us consider the set of vectors X=v1,v2,v3,v4,.........,vn To check the set is linearly…

Q: Solve the differential equation by variation of pa 2y" - 4y + 4y = ex sec x y(x) =

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Q: Find three positive numbers x, y, and z whose sum is 21 and product is a maximum.

A: There are two different questions in the image. According to our guidelines, we can solve only one…

Q: Obtain the differential equation of the family of curves described. Straight lines at a fixed…

A: Any equation of Parabolas with vertex on the x-axis, with axis parallel to the y-axis and with…

Q: 1.2 Find the pointwise limit of the sequence of functions {fn(2)} = {nc(1 −z)} on [0, 1] and…

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Q: 3x+2 Suppose Fix) is an antiderivative of function f(x)= 2√ such that F(1) = 4. Then F(4) = O a) 15…

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Q: Q.4: Find the third order Lagrange interpolation polynomial using the following table to compute…

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Q: Find the solution to the following linear programming problem using the simplex method Max…

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Q: Prove that span (v1,v2,...,vn) is a valid subspace of R

A: Let V be a vector space. W is a non empty subset of V. W is said to be subspace of V if it is closed…

Q: dy (i) Solve (x²D² + 4xD + 2)y = logx, given that x = 1, y = 0 and = 0. dx

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Q: (a) Find Maclaurin expansions for sin 2x, cos2x and e³* up to and including the term in x³. ${( 3 +…

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Q: and chopping to th 1. getting beth.

A: Given: Cubic polynomial is x=1.32 3.12x3-2.11x2+4.01x+10.33

Q: Question 2 a) [ ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere,…

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Q: Consider the function f(x) = = x² + 7x + 13 x + 4

A: given function f(x)=x2+7x+13x+4

Q: Find the gradient: f(x, y) = 3x³ - 4x²y + y² at (1,-1)

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Q: The elements of the quotient group (2/8). 12 (0,1,2,3,...,8) 1- 2- -208,-108,008,108,208,...) 3- 4-…

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Q: Ex: the function f(x) = 2 * sin(x) = 2/4-1 is Zero for two values near x=-5. use bisection to find…

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Q: Find the volume of the solid generated by revolving the region bounded by the parabola y² 4x and the…

A: Recall formula for volume of revolution

Q: Solve fo got your M

A: Introduction: One of the fundamental shapes in geometry is the triangle. The smallest polygon is a…

Q: Prove that no (nº.2)

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Q: Solve the following system using GS iteration method use xº = (0 000) 10x₁ - x₂ + 2x3 = 6 -X₁ +…

A: given system of equation 10x1-x2+2x3=6-x1+11x2-x3+3x4=252x1-x2+10x3-x4=-113x2-x3+8x4=15 claim- solve…

Q: B/ Put the following program in matrix standard form Min (z) = 10x₁+11x2 S.T. X₁+2x₂ ≤ 150 3x₁+4x₁…

A: Note: In the given question, the second constraint has to be of the form 3x1 + 4x2 ≤ 200 instead of…

Q: Given is the amount M = {x R³ | x² + 9x ≤25, x3 = 0}. Tick all that apply: M is complete/closed. yes…

A: Since M contains all the points inside as well as on the boundary. Thus M is complete.

Q: Suppose that Y = Z - X is independent of Z and of X. Show that Y is a constant.

A: Given that Y=Z-X. To show: Y is a constant function.

Q: General Solutions of Systems. In each of Problems 1 through 6, express the general olution of the…

A: We solve by eigenvalue and eigenvector method.

Q: Simplex Method Maximize: P- 3x + 4y subject to: x+y≤4 2x + y ≤ 5 x 20, y 20 1. Find the values of…

A: We have to use the simplex method to find the optimal solution of the given linear programming…

Q: Justify your answer. Which of the following sets of linear equations cannot be solved using an…

A: Gauss Seidel Method is one of best iterative method to solve set of linear equation. The method…

Q: Translate into symbols. Use E(x) for “x is even” and O(x) for “x is odd.” a. No number is both even…

A: Solution: Given, Suppose x is any number then E(x) represents x is even and O(x) represents x is…

Q: 9. (a) Show that the functions r(t) = 3et+ 7e-t and y(t) = 3et+ 21e are solutions of the system I' =…

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Q: Determine whether the set, together with the indicated operations, is a vector space. If it is not,…

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Q: Q4:A/ solve the following linear programming problem using graphical method Max (Z)=80x+72y S. T:…

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Q: Solve (x ^ 2 * y ^ 2 + 5xy + 2) * ydx + (x ^ 2 * y ^ 2 + 4xy + 2) * xdy = 0

A: As we have x(x2y2+4xy+2)dy+y(x2y2+5xy+2)dx=0∴x3y2+4x2y+2xdy=-x2y3-5xy2-2ydx

Q: 5.12 Given A = I 0 0 1 0 0 0 2 3 4 S/ find a permutation matrix P, a unit lower triangular matrix L,…

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Q: Ex. Evaluate ff y ds where S is the portion of the cylinder x + y = 3 that lies between z= 0 and z=…

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Q: ........................ASAP..................Thank You...........................I need answers…

A: We have to find the values of x1 and x2

Q: Consider the following demand and supply functions. D(x) = 238 – 0.9x, S(x) = 0.5x + 204.4,0 ≤ x ≤…

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Q: Ex: Evaluate This Cubic polynomial f(x) = 1.32,using both rounding and chopping to three digits at…

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Q: (a) Compute the null space of the matrix. H = /0 1 10 0 0 00 1 10 1 1 1 1

A: Given a 3×5 matrix. H=010011010100111 To compute the null space of the matrix.

Q: both Eri Evaluate This cubic polynomial Pors=1-32 using rounding and chopping to three digits at…

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