Find the solution using the varation parameters formula

Q: Q. find the apPtoximation of the follo values, which Ts dfetent betueen the intelers 22/7 dr - 2+ si...

A: We can solve this using trapezoidal rule

Q: (4) Consider the following set: S = {(x, y, z) E R' | xy + yz + x =-2}. (a) Show that S is a surface...

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Q: Write the statement in symbolic form. p: Louis took discrete mathematics. q: Carla took linear al...

A: We have to write the statement in symbolic form.

Q: (8) If A is strictly dominant matrix, then || A l2= p(A).

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Q: X1 + X2 – X3 = –-3 6x1 + 2x2 + 2x3 = 2 -3x, + 4x, + x3 =1 %3D

A: Given system is  x1+x2-x3=-36x1+2x2+2x3=2-3x1+4x2+x3=1 1: Simple Gauss elimination: We can write it ...

Q: For the PDE z-2+ = 1. (i) Is the PDE is quasilinear? Justify your answer. (ii) Find two independent ...

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Q: 15с) — Зс2 — сз %3D 3 800 -Зс, + 18с, — бсз 3D 1 200 —4cт — С2 + 12с, 3D 2 350 |

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Q: Use mathematical induction I to prove that for all integers n2 3, 2·3 + 3 · 4 + ·· ·+ (n – 1) · n = ...

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Q: 2z Use method of partial fractions to find the Inverse Z-transform of 22-1 IzI >1

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Q: FOLLOW(A) is the set of terminals that can come after non-terminal A, including $ if A occurs at the...

A: Given: FOLLOWA is the set of terminals that can come after non-terminal A, including $ if A occurs a...

Q: QID You have been given the paraumetric curve shown be low. oc = 6 + 9t°, y= 3+ 6t9 Figure out what ...

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Q: Let V be a vector space over F. Let T E L(V). Suppose PE L(V) is invertible. (a) Prove that T and P ...

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Q: Using e-d argument, prove that f(x) = x-[x] is continuous at all x ERexcept the integers. (Note: [x]...

A: Solution:-

Q: Suppose a 5x4 matrix has a rank 3, then the dimension of the Null space. Dimension of the Row space ...

A: Multiple :    Let  A be 5 × 4 matrix . We have given that , rankA = 3. We need to find , dimension o...

Q: Find the volume of the solid within the cylinder x² + y? = 9 that is bounded below by the xy-plane a...

A: Using cylindrical coordinates the volume of a solid is given by V=∬∫v r dz dr dθ

Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

A: Given the function M=e-t2+3. We have to: (1). Sketch the graph M versus t with axis M going to verti...

Q: 2. Consider a square ABCD and an equilateral triangle BCE in its exterior. Let F be the midpoint of ...

A: Given figure is Since ABCD is a square and ∆BCE is equilateral . So DC=CE

Q: Ginny knits two different capes. The ‘Ginny’ model requires 3 hours of knitting and 7  hours to embe...

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Q: Add cx to both sides and devide the equation by c to obtain g(x): x + 2x – 3 = 0 (a) For what c is F...

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Q: Every natural number n has a base-60 expansion; that is, there exists k > 0, and for each i = 0, 1, ...

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

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Q: P3 (coordinates and basis) Let M = d f:a = 2f,b = 2g + h, c = 3g – i, d = g + i, e = 3h e h i. a) Wh...

A: It is given a vector space M with some restrictions in it. In part (a) first we find the maximal dim...

Q: Prove that for every integer n 2 0, gcd(Fn + 1, Fn) = 1.

A: Given: Fn is a Fibonacci sequence, with F0=1=F1. To prove: For every integer n≥0, gcdFn+1, Fn=1.

Q: Consider the following. f(t) = t2(3t2 − 10t + 7) (a) Find all real zeros of the polynomial function...

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Q: 1, Use the definition of error function, prove that (주)나

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Q: Evaluate the below exprassion

A: Given,          1+i10

Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = =...

A: If M=f(t), then t is called the input of the function, and M is called the output of the function. T...

Q: 211 8. Determine whether {(1+2)"} 5c1+系) Q8 Converges or diverges.

A: Series and sequences

Q: Consider the three points A(-1,2,0), B(-4, 5,0) and C(-2,6, –4). You are given that, -3 AB = and AC ...

A: Consider the points A(-1,2,0), B(-4,5,0) and C(-2,6,-4) And Given AB→=-330,  AC→=-14-4 Projection of...

Q: Q1) Solve the following linear equation by Grammar's rule. x + 2z = 1 y = -z - 1 x = -y +z+ 2

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Q: Prove that o(n) d21 d/n and, in particular, show that if n is perfect, then 2. d21 d/n

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Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1 x2-x-2 1-Vx 2. lim x-1 1-x 2x 3. li...

A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1 ddx(x+1...

Q: 2. What will be the new volume of this prism if a scale factor of 1.5 is applied to the dimensions?

A: Given,         and  Scale factor = 1.5

Q: When repeated division by 2 is used to convert by hand 100 from base 10 to base 2, the quotient obta...

A: To convert decimal number to binary number.

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

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Q: Topic: Complex numbers Instruction: Perform the indicated operations. Express results in rectangular...

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Q: Consider the set of vectors in R such that 1223 0. If these form a subspace, show that is satisfies ...

A: See below for solution.

Q: 20 Reflect Here are two paint mixtures: 3 cupr of thito and 4 qunn of

A: The ratio of white to blue color is 34 also 6 cups of white and 8 cups of blue is 68 simplify 68=6÷2...

Q: Encrypt the plaintext: "MATH" using the formula C (x) = (P(x)- 10) ( mod 26) Use the table given bel...

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Q: (Q4) Prove that if f : R → R is continuous function, and (n¡)ieN is a sequence of non-zero natural n...

A: Given: f:ℝ→ℝ is a continuous function. nii∈ℕ is a sequence of non-zero natural numbers.   To prove: ...

Q: A patient receives a prescription for 3 g of an antibiotic. The tablets on the shelf are 250 mg. How...

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Q: Let y be a solution of the differential equation 2 I+y-1 I+y+I where x + y+1>0 for all x, y such tha...

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Q: Solve the following system by Gauss-Jordan elimination. 2x1 + 3x2 + 5x3= 25 6x1 + 10x2 + 19x3= 81 %3...

A: The solution is given as  

Q: Consider the solid Q that is generated in the first octant by the surfaces S1 : y+z = 4, S2 : y - 1 ...

A: Solution is below.

Q: Let U, A, B, and C be defined as shown below. U= [ a, b, c, d, e, f, g, h, i, j } A = { d, e, g, h, ...

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Q: Using ɛ-6 argument, prove that f(x) = x-[x] is continuous at all x ERexcept the integers. (Note: [x]...

A: Solution:-

Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $100 per unit. If the daily total ...

A: Given that Cx=100,000+50x+0.0025x2. And according to the given information Rx=100x And 0≤x≤7000 a We...

Q: Let y be a solution of the differential equation * + (1+ )y = !, where x > 0 such that y(1) = 1+2. I...

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Q: : Let f(x) = x2 – 2 , - 2<x< 2, period = 4 | 1- Sketch the graph of f (x) 2- Is f(x) odd or even, or...

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Q: (9) For any eigenvalue A of the nonsingular matrix A with any natural norm, then (a) I| A || S1시S (b...

A: To find the correct relation between the eigenvalue λ and its nonsingular matrix A.