Find T, N, B,

Q: Given the z value, find the are unde the normal curve for the given parameter: To the right z = 0.97

A: Given: z=0.97 To find the area under the normal curve

Q: 8. Let d denote the discrete metric on a set X. Let (n) be a convergent sequence on (X, d). Which of…

A: Given d is discrete metric on a set X. and (xn) is a convergent sequence on (X, d).

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: 4. An airplane uses a radio beacon transmitting from an airport to determine how far off course it…

A: We have to find how far away is the beacon, and hence the airport, at the time of the second reading…

Q: Find the eigenvalues A1 < A2 < d3 and associated unit eigenvectors ủ1, ū2, ū3 of the symmetric…

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Q: The bounded area generated from the curves y = 1 - x² and y = 0 is to be rotated around x = 1. Which…

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Q: Prove that if f, g :R → R are continuous at x E R, then ƒ+gis continuous at x E R as well.

A: By using the definition of continuous function this above statement can be easily proved.

Q: 8 k 8 -9 2 O -6 -5 7 9 Let A 0 0 k 6 7 1 2 0 0 0 3 choose When is det(A) > 0? choose Always Only…

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Q: Find the roots of the indicial equation corresponding to the differential equation 362 y" + (5 –…

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Q: Let a = C(7, 4), b = C(7, 5), c = C(7, 6), and d = C(7, 7). If there are 7 points on the plane, no…

A: Solution

Q: 2. fct) = 3e +t C1-3t + 2t 2) -4t (1-3t + 2t2)

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Q: Find the characteristic polynomial of the matrix 4 A = |0 -5 -5 3 -4 p(æ) =

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Q: Find the inverse laplace transform of e-2s

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Q: 1. (a) Sketch the set S of points in the complex plane satisfying the given inequality. Determine…

A: We will find domain and then  draw region of each in equation to find type of region

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

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Q: Find the arc length of the parametric curve x = 2cost, y = 2sint, z = 3t 0 ≤ t s=.

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Q: n=1 m sup,+∞ an = (lim infn an)+2. %3D n-00

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Q: 2 In C, (x, y) = xAy* is an inner product, where A = i ). Compute (x, y) -i 3 for r = (1+ i, 3i) and…

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Q: You are given the 3 × 3 linear system in augmented matrix form 5 0 -1 2 0 1 0 2 0 0 2 4 Starting…

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Q: Give an example of a bounded set that has no maximum, but has a minimum

A: We want to find an example of a bounded set that has no maximum, but has a minimum.

Q: Let A, B, C be n × n invertible matrices. When you simplify the expression:- C-(AB-!)-"(CA-')'A?

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Q: Find the eigenvalues A1 < A2 and associated unit eigenvectors ū1, ū2 of the symmetric matrix [3 A =…

A: Eigen values corresponding to eigenvectors

Q: Show that the column vectors (1,1,2,4), (2,-1.-5.2), (1.-1,-4,0) and (2,1.1,6) vectors in R are…

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Q: . Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: Here we use the basic form of revolution of curve around X axis

Q: 3. f Ct) 2 (3t-5) e 4t

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Q: Find the solution of the following heat conduction problem using the variable separation method. ôT…

A: The given problem is to find the solution for the given heat conduction problem with given initial…

Q: (f) Find the average value of f(z) = 1 - z| on the interval [–1, 1). f(3x +2) + f(2 – 5z) (g)…

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Q: y'= Y/x -tan Y/x

A: We have to solve the following differential equation :            y' = yx - tanyx

Q: 4. TRUE or FALSE. For all p> 1 and for all r e R", ||c||,< ||r||- (a) True (b) False (c) (d)

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Q: 10. Let {xn} be a sequence of real numbers. What does the limsup of this sequence mean?

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Q: x²+2 dx x+1

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Q: Find the inverse laplace of F (s) = (2s–1) s² –6 s+18

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Q: a) A company purchasing scrap material has two types of scarp materials available. The first type…

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Q: 3北 X(t) = e - | 1. t

A: If f(t) is a function of t defined for all positive values of t, then the Laplace transform of the…

Q: (f) Consider the functions y= V7 and y = r² on 0 <I<1. Determine the length of the longest…

A: We will find length of horizontal line between two given curve in terms of a single variable and…

Q: Question no. 3 Use the inversion algorithm to find the inverse of the matrix (if the inverse…

A: Q3 asked and answered.

Q: What would be the element 22? * [i 4] ‚B= -3 27 ,C= 0 2 i 0] find A? + BC. If A = 2 4 O 8 O 9 O 17 O…

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Q: Consider the Sturm-Liouville problem y" - 2y + (1 – 4A)y = 0, y(0) = 0, (1) – y(1) = 0. (a) Find the…

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Q: a) that contain no vowels, if letters can be repeated? b) that contain no vowels, if letters cannot…

A: CLEAR STEP BY STEP ANSWERS ARE GIVEN FOR YOU ALL QUESTIONS

Q: Consider the linear system 3 j' = -5 a. Find the eigenvalues and eigenvectors for the coefficient…

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Q: II. Solve the following differential equations using the substitution suggested by the equation. 1.…

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Q: Evaluate the double integral f(r, 0) dA. 3 cos(0) r dr de Sketch the region R. T/2 л/2 2 2 -1 1 -4…

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Q: Using high-accuracy central difference formula, determine the derivative of the function F(x) = x' +…

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Q: Find the solution of the following heat conduction problem using the variable separation method. ôT_…

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Q: Exercise II.44. Let B be the transformation Rjo T(1.2.0) . B((0,0,0))? Give the 4 x 4 matrix…

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Q: Which of the following is false? O A p-series is convergent ifp> 1. O None of them. 5 n The series…

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Q: Vhat does "x is an upper bound of a set S C R" mean ? State the Smallest Upper Found Principle.

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Q: apply Gauss Elimination method to solve the equation? x + 4y – z = -5 x + y- 6z = -12 3x - y - z = 4

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Q: (a) Use mathematical induction to prove the following inequalities: (i) 2n +1<n² for n 2 3 (ii) n² +…

A: We are going to prove the following inequalities by using mathematical induction .…

Q: 14. What does it mean that a sequence {xn} tends to infinity?

A: What can we say if the sequence tends to infinity .