1. 3. Determine [[e=²*² +25-+²] kt [[e+cos (√2+)] [[ext_H(t-a)]

Q: Find a basis for the solution space of the given homogeneous linear system. x1-3x2-9x3-5x4=0…

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Q: 2. Consider the recurrence relation an = 1 + a[4], ao = 0. (a) Find the values a₁ to a10, by…

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Q: 1 2345 6 Let f= 1 2 3 4 5 6 256 3 and g = be permutations in S6, written in two-line notation. 1…

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Q: 2. Consider the following first-order ODE: (a) Solve by hand with Euler's explicit method using h =…

A: Given the differential equation dydx=x-y with the condition y0=1 and step size h=0.4 Solve using…

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A: Given differential equation is  dxdy=xy+3x-y-3xy-2x+4y-8

Q: Solve the equation [11]13 X+ [10] 13 = [1]13 X+ [1]13 for XE Z13. Write your answer as X= [13 where…

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: (b)show that: I(cosh at cos at) s++4a4

A: Introduction: A technique for fixing differential equations is the Laplace transformation. The time…

Q: x + 2 Determine the case of the following proper rational function after simplification: (x² – 4)(x³…

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Q: Message: [-859] [1943] [1060] [O_25] [-7 81] matrix used: 3] -1 3

A: Given: A=12-13 To use matrix A to decipher the message: [-8  59] [19  43]  [10  60]  [0  25]  [-7…

Q: 4. Find the Fourier Series of the given periodic function. 4, f(t) = {_1 -π≤ t ≤0 0 < t < π

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Q: Determine inverse z-transform of the following equations: Z 2² a. b. (z-2)² (z-1)(z-0.5)

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Q: 2. For the function f(x)=x²e05* construct the divided difference table for the points x equals 1.3,…

A: Given: fx=x2e-0.5x To find: Relative errors

Q: k(G) = k'(G) = 8(G).

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Q: The general solution of (D³+4D)y=0 is (A) Ay=c₁еx+c₂e²x + c3e² (в y=e*(c₁cos2x+c₂sin2x) -4x y =…

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Q: (1) Estimate the area under the graph of f(x) = 1/x from x = 1 to x=2 using five approximating…

A: Given graph: fx=1x from x=1 to 2 To find: Area under the graph.

Q: Question 6 Who wins by plurality? (A) BBM B No winner LENI (D) MANNY Number of Votes 1st Rank 2nd…

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Q: A lamp has two light bulbs with an average lifespan of 1400 hours. Assuming we can model the…

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Q: 7x9x23x45x94z45

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Q: Evaluate the line integral, where C is the given curve. L xy² a ds, C is the right half of the…

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Q: Find the equivalent markup on either cost or selling price, using the appropriate formula. Round to…

A: solution:-

Q: The graph of 3[H(t2) - H(t - 3)] is given by:

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: 1.1 Evaluate the following: (1) S,S, +S, S (ii) $25,³53 (iii) Use the concept of parity to show…

A: We need to evaluate the below expressions-i SxSy+SySxii Sx2Sz3Sy2iii Whether &lt;3pxsinx2s&gt;is…

Q: Which of the following is homogenous of smallest degree? x² + y² A X x-y B C D x-y In x - In y √√x+y

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Q: Find a basis for the solution space of the given homogeneous linear system. X₁ - 3x2 - 9x3 5x4 = 0…

A: Matrix form of the given system 1-3-9-522-21416922 Lets use row operations to find general solution

Q: 10 12-f(t)=- fl = f(t)=e' . -31 e-³¹ sin 2t t 42 cos It

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Q: Find both a basis for the row space and a basis for the column space of the given matrix A. 1 1 1 1…

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Q: A contour map is shown for a function f on the square R = [0, 4] × [0, 4] 12 12 Use the Midpoint…

A: Solution:-

Q: Let a subset W be the set of all vectors in R² such that |x₁|=|x₂|. Apply the theorem for conditions…

A: Let W be a subset of all vectors in ℝ2 such that , x1 = x2. That is , W = x , x2 ∈ ℝ2 / x1 = x2 We…

Q: 5. The letters in the word AARDVARK are printed on square pieces of cardboa The eight letters are…

A: INTRODUCTION: Conditional probability is the probability of an event A occurring when another event…

Q: Initially 56 grams of radioactive substance was present. After 4 hours the mass had decreased by 6%.…

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Q: What amount was invested at 3% if it earned an interest of P2,300 in 2 years and 3 months?…

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Q: i s'ex eo e V². (-^x) dy dz -jz 00

A: Solution : a∧x.a∧x=1 ∫01∫01a∧x∈0e-jz.(-a∧x)dydz =-∈0∫01∫01e-jzdydz =-∈0∫01e-jzdz =-j∈0e-j-1

Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

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Q: Let H be a Hilbert space, Mc H a convex subset, and (x₁) a sequence where d = inf ||x||. Show that…

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Q: remise 1: He is an acti remise 2: He is not an onclusion: Therefore, What rule of inference (A)…

A: Given: Premise 1, 2 and conclusion. To find: Rule of inference to valid the statement.

Q: How much interest is earned at 2 1/2% if an amount of P10,500 was invested on October 3, 2021 and…

A: Solution

Q: find the graph G such that : 1) K(G) = K'(G) < 8(G). 2) K'(G) = 8(G). 3) 4) K(G) = K'(G) K(G) <K'(G)…

A: k(G) is vertex connectivity of graph G k'(G) is edge connectivity of graph G δ(G) is minimum degree…

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

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Q: Evaluate D³(sinx - 4e²x) A -sin x-32e²x B -cos x-32e²x (C) с cos x-32e²x D sin x-32e²x

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Q: Find the Fourier Series of the given periodic function. f(0) = {-1, if -n≤t<0 if if Ost<if(t+ 2n) =…

A: The given function is                               f(t)=4,        if -π≤t&lt;0-1,    if  0≤t&lt;π;…

Q: Create a quadratic model for the data shown in the table 1 -1 X Y -1 -1 Oy=0.85x² +0.11 - 1.78…

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Q: aquarium in a centre of nature in the shape of a rectangular prism. The aquarium is 10 feet long, 8…

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Q: Given the differential equation: dy y dx with initial conditions y = 1 at x = 2.0, produce a…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A small generator burns two types of fuel low sulfur and high sulfur to produce electricity. For one…

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Q: Determine whether or not the given vectors in R³ form a basis for R³. 0 0 0 V₁ -8, V3 = 8 -4 V₂ 7 -2…

A: We have to determine whether or not the given vectors in ℝ3 form basis for ℝ3

Q: Using the linearity of the inverse Laplace transform, solve for the solution of the differential…

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Q: Use the Wronskian to determine if the given functions are linearly independent on the indicated…

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A: Solution: Options (A) is correct