Show that 1 п-1 .. 1 X2 x5 п-1 x2 ... =II("; – 2;) i>j 1 n-1 .. •.

Q: SIMPLIFY THE FOLLOWING: 1. Determine the absolute value of -2/3 – 2i. 2. Write the complex number z ...

A: (i) It is given that ;              z = -23-2i And we have to find the absolute value of z. If  z = ...

Q: 1. Find the general solution of the given differential equation using MUC: + 104y(1) – 80y = x² e2x ...

A: We can solve this using given information

Q: 1. Consider the following graph: eg U5 e3 e7 es Ove e2 v3 es (b) Find all edges that are incident wi...

A:

Q: Suppose you are cooling a hot extract in a 24°C process room. The temperature of the extract right w...

A: 66.9 deg.C

Q: Find the area of the region bounded by y = x2 + 2x - 1, y =+x- , x = -3, x = 1.

A: As per our guidelines, we are supposed to solve only one question. Kindly repost other question as n...

Q: dT/dt = -k(T – Ta) where T = the temperature of the body (°C), t= time (min), k= the proportionality...

A:

Q: (a) {(m, n) E N × N|m < n}. Hint: A subset of a countable set is countable. (b) {2 |n € N}. (c) {r E...

A: This is a problem of set and function.

Q: Given f (x) = x³ – 6x² + 9x – 1 A. Determine the maximum and minimum points. B. Determine the concav...

A: Given that fx=x3-6x2+9x-1We have to find the maximum and minimum points. 

Q: by3 | (3b? – x²)(1 – x³V3)/3b² – x² dx - -

A:

Q: Using Pappus theorem, find the volume formed by revolving about the x- axis the area bounded in the ...

A: Pappus theorem for the volume of revolution: It states that the volume of a solid of revolution obta...

Q: P= 28x1 + 12x2 (A) Using slack variables, determine the initial system for the linear programming pr...

A:

Q: The distance from C to D is 250 kms. The distance from B to C is 3/5 the distance from D to C. The d...

A: The complete solution is in given below

Q: Show that Foranyeigen value dofthenonsingu lar matrix A with any natural norm Then

A:

Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

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Q: The base of a solid is the circle x² + y² = 16. Find its volume if every section perpendicular to th...

A: Given that base of a solid is in the form of a circle whose equation is given as x2+y2=16 Also, ever...

Q: schools’ enrolment this year increased by 20%. What was last year’s enrolment if there are 4,800 stu...

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Q: The region in the graph shown to the right is to be revolved about the x-axis to generate a solid. T...

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Q: 2. Find the solution of the given initial value problem using Method of Undetermined Coefficient (MU...

A: As per Bartleby guidelines we're supported to answer only first one question when two or more differ...

Q: Find a basis for the subspace spanned by the given vectors. What is the dimension of the subspace? 1...

A:

Q: Given system of linear equations: х+у—3z %3 4 2х + 4у — 4z %3D 5 —х + у + 4z %3D —3

A: Solve using Cramer's Rule. Show complete solutions.

Q: Use induction to show that n4 + 15 is a multiple of 16 for every positive odd integer n.

A:

Q: is: The number of zeros of sin(-) is: `z-1

A: If y=f(z), then the variable z is called the input of the function, and y is called the output of th...

Q: 1-Convert from degrees to radians, in exact form. а-85° b- 395° c-(-120°) 2 Copvert oach angle from ...

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Q: Determine if f is differentiable at x = 0 given that -1 4 cos if – 2 0, x # 1. (x – 1)6 '

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Q: Let L be the line with parametric equations x =-1+2t y = 1+t z = 3 Find the shortest distance d from...

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Q: 2. Let the rref of a matrix A be, 1 0 2 0 -2) 0 1 -5 0 -3 0 0 1 6 Determine A if the first, second a...

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Q: (a) Let A be an m × n matrix, and let B be the result of performing a single elementary row operatio...

A: We have to prove that following Statement.

Q: If yi(x) and y2(x) are linearly dependent solutions of the linear homogeneous equation, then every s...

A:   True

Q: Determine the all the roots of z4 +1 = 0

A:

Q: 9. Test the following for convergence (p and q denote fixed real numbers): (a) Σ1P"n"; p > 0

A: Please specify which subpart is to be solved. Here is the solutions of subparts. (i) The given serie...

Q: A rumor begins to spread in a population of 10,000 inhabitants thanks to the fact that a member of t...

A: The total number of people in the village:-10,000. The number of people that heard that rumor after ...

Q: Let A be an m × n matrix, and let B be the result of performing a single elementary row operation on...

A:

Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y = -2 about the...

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Q: ydy 1. S- V25-16у* xdx 2. S- 9+x 2 dz 3. S- 2 +6z+10 xdx 4. S- 9+x

A:

Q: x/2 1. Let F(x) = | f(t) dt and G(x) = | g(t) dt, where the graphs of f(x) and g(x) on [0, 6] are be...

A:

Q: Put each of the items into the correct Venn. If an item can change from solid to liquid or gas or li...

A: First categorize all the matters in the category of solid, liquid and gas.

Q: nd the flux of the vector v=⟨x,y,z⟩ along the surface of the right tetrahedron below.

A: Flux of the vector

Q: 1. Construct a 3D orthonormal basis, where the first basis vector is along (3, 4, 0), the second is ...

A:

Q: Evaluate S, S16- /16 — у2 /16 – y² – z² 22 bw (z2 + w?) dw dz dy - 16 – y² So — у2

A:

Q: A loan of 750000 needs to be paid in annual installments by the end of every year. The interest rate...

A:

Q: An object of mass 20 kg is released from rest 4000 m above the ground and allowed to fall under the ...

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Q: ky5 | 7 (x³V5+ 8)(5k² - - x2 dx

A:

Q: Consider the simplex tableau given below. X1 X2 S1 S2 S3 5 1 4 1 3 1 10 2 1 4 - 6 - 2 5 (A) The pivo...

A: From the given table, we have to find the column where the pivot element is located.  

Q: If F = (2x + y')i + (3y - 4x)j evaluate e F.dr around a triangle ABC in the xy-plane with A(0, 0), B...

A: Given  F→=2x+y2i+3y-4xj  we have to evaluate ∮F→.dr→ around  a triangle ABC in the xy-plane with A(0...

Q: Suppose you are cooling a hot extract in a 24°C process room. The temperature of the extract right w...

A:

Q: Let Ax = b be a linear system whose augmented matrix has a reduced row echelon form given by: 1 0 -1...

A:

Q: Show that Foranyeigen value Aofthenonsingu lar matrix A with any natural norm Then

A:

Q: 2. Find the solution of the given initial value problem using Method of Variation Parameters (MVP): ...

A:

Q: 1. Construct a 3D orthonormal basis, where the first basis vector is along (3, 4, 0), the second is ...

A: We need to calculate an orthonormal basis.  We are given a vector and an axis perpendicular to it.

Q: -3x1 + x2 + 12x3 = 50 6x1 – x2 – x3 = 3 6x1 + 9x2 + x3 = 40

A: Here we consider X1=x,  X2=y, X3=z (for Easier to solve) .  So,