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Q: Perform as indicated. a. Given 22 = 12 mod 5 & -1 = 14 mod 5, Find the sum, the difference and the…

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Q: Q2. Evaluate | ydA in two different ways. Here R is the region in the first quadrant bounded by the…

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Q: 18. Find all critical points of f(x, y) = In(x+y) +x² – y +1 and classify each critical point as a…

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Q: Compute for the mean, the variance and standard deviation of this frequency distribution. Score…

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Q: eigenspaces 1d sisog puly the of find 2.

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Q: f F = x 2 yz, G = xy-3z 2 , find (a) ∇[(∇F). (∇G)] (b) ∇- [(∇F)x(∇G)] , (c)∇x [(∇F)x(∇G)] .

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Q: Suppose S = {r,u, d} is a set of linearly independent vectors. If x = 2r + 2u + 2d, determine…

A: Given :  S = {r, u, d} is linearly independent set of vectors  and  x = 2r+2u+2d. To find :  We have…

Q: Verify that A; is an eigenvalue of A and that x; is a corresponding eigenvector. 8 -1 8 11 = 8, x1 =…

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Q: Cos“ 2t osh wt sin wt e2t sint

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Q: sin(r )dt = i

A: We have to evaluate ∫04sin(t2)dt using calculator.

Q: 2. (D2 – 4)y = 0 when y(0) = 0, y' = 3

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Q: Evaluate L{t(uo – u1) +tui}. Ouestion 2

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Q: How many random errors of magnitude plus of minus one would be necessary to have 35 different ways…

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Q: a) Given the following Linear Programming (LP) problem: Minimize z = 2x, + 3xz Subject to x, + 3x, 2…

A: It is a Linear Programming problem and I solved it using Two-Phase method in the next steps.

Q: Show that the following nonlinear system has 18 solutions 0 <α < 2π, 0 < β < 2π, and 0 < y< 2π. sin…

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Q: Let R the triangular region in the xy-plane with vertices at A(0, 1), B(1,1), and C(0,2). (See…

A: Given: The triangular region R in the xy-plane with vertices at A0,1, B1,1 and C0,2.   To find: The…

Q: Consider the following system of tanks. Each tank initially contains V1 = 200 gallons and V2 = 300…

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Q: AAAAAA AAAA 30. If the power series an(x – 4)" converges at x = 7 and diverges at x = 9, which of…

A: We will find possible radius of converges and then interval of converges ,

Q: II. Show your solution completely. 1. Given f = x – 2x+3 and A =[-2,1], find |, f. J[-2.1]

A: To find the given integral

Q: Find the curvature and the radius of curvature at the point t = 0. e' cos(t), y = e' sin(t), z = 11e…

A: Given :  x = et cos t,  y = et sin t  and  z = 11et To find : We have to find curvature(k)  and…

Q: Find T(t) and N(t) at the given point. r(t) = 4 cos(t)i +4 sin(t)j+tk; t = - 6. T;)- .2 NE) -

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Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A: The given points are P0, 0, 0 and Q4, 6, 6. Let us denote  x1, y1, z1=0, 0, 0 and x2, y2, z2=4, 6,…

Q: 10. What is the general solution of the nonhomogeneous differential equation (D² – D– 2)y = 6x +…

A: Given differential equation is D2 -D-2 y = 6x +6e-x  This is non homogeneous differential equation.…

Q: Which of the following is always true for a connected graph? Select one: O a. all vertices have even…

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Q: Obtain the Fourier series of : f%) = cos 2x, weth mter val -IL<x 21e, ~ Graph the %3D diagream…

A: This is a problem of Fourier series.

Q: If A = 2xz 2 i - yz j + 3xz 3 k and ∅ = x 2 yz , find (a) ∇x A, (b) curl (∅A) , (c) ∇ x (∇xA), (d) ∇…

A: To find the above questions on vector

Q: Bill drove his car at a constant speed while on a trip. Kevin drove his car at a different constant…

A: From graph, Bill's trip, At t= 1, d(t)=55 At t = 2, d(t)= 110 Bill's speed = d(2)-d(1)/ (2-1)…

Q: Find curl (4z i + 5x j+ 2y k).

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Q: On the top of a cliff, the farthest distance that can be seen on the surface of the earth is 60mi.…

A: Solution

Q: The mean score of a girl in 3 tests is 68. What should her mean score in 2 remaining tests be in…

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Q: Ms. Poo Hun deposited P120,000 in a cooperative with 2.5% rate of interest. After 10 years, she…

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Q: following: a) EF + DH H b) ED + AB - (HG + FB)

A: This is a problem of vector analysis.

Q: Let T: R - R be a linear transformation such that T(1, 0, 0) = (-1, 4, 2), T(0, 1, 0) = (3, -2, 1),…

A: The defining characteristic of a linear transformation T: V \to WT:V→W is that, for any vectors…

Q: Question 2. functions f : [0, 1] → R. Define an integral norm || · ||i by Let C[0, 1] represent the…

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Q: In writing responses to these problems, remember to communicate your mathematics clearly. In Task…

A: We will use the basic knowledge of differential calculus and reasoning to answer both the parts of…

Q: A firm manufactures two types of Product A and B and sells them a profit of Rs. 12.00 on type A and…

A: 1st we will formed a linear program and then solve it using graphical corner point  method

Q: Consider the second-order partial differential equation: u n. 3- + 10- +3- = 0. %3D Ordy Reduce this…

A: We have to find the canonical form of the given PDE.

Q: Column A Column B 1. It is a closed figure made up of segments that intersect at their endpoints and…

A: # As per the guidelines we are entitled to solve one question , please resubmit the other question…

Q: Find the intervals on which the function is continuous. f (x) = { %3D 3, x = 2

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Q: Show whether or not the following limit exists: xy³ lim (x,y)→(0,0) [x2 + y6

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Q: 2.f(t) = cosh wt sin wt

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Q: 2. Prove that if a = b( mod r) and c = d( mod r) then a – c= b – d( mod r)

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Q: Question 3. Show your working in each case: (a) Find all the cluster points of the set M {m +: m, n…

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Q: 3. f(x) = ez* – x² – 1 (Xi = 5) ез || -

A: Here we use python to solve this problem.

Q: Using Newton Raphson Methoc roots of the following equations. S solution via excel

A: The given equation is f(x)=x3+2x2-3x-1 find the derivative  f'(x)=3x2+4x-3 given xi=2 The formula…

Q: if 0 2 t Let f(t) 1

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Q: Evaluate the indefinite inte (a) / x cos(x*)dz

A: Evaluation of integral using Taylor series expansion

Q: Using t = x +1, find the parametric equations sets that represent the graphs of the rectangular…

A: y=2x-1As t=x+1⇒x=t-1⇒y=2(t-1)-1=2t-3  The parametric equations are x=t-1, y=2t-3…

Q: . Find all relative extrema and saddle points of the Punctron. Use Jecond Partials Test where appli…

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Q: 5. The denominator of a fraction is four less than the numerator. If the denominator is doubled and…

A: Introduction: A system of linear equations (or linear system) is a set of one or more linear…