Q: QA-evaluate the flux of the filed F-xi+yj+zk through the upper part of the cylinder x² + z² = 1 that…

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Q: Which of the following is not a proposition? "The Marcos dynasty returns to power after 36 years."…

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Q: in rectangle WASH, point E lies on line SH such that angle AWS is congruent to angle HWE. Point D…

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Q: L(sin 2t cos 2t) Your answer Find 2s+3 L-1 (₁² (5² +45+13)

A: We have , Fs = 2s + 3s2 + 4s + 13  We need to find Inverse Laplace Transform of  Fs. That is , L-1Fs…

Q: The figure describes a dilation with center O and image in bold. Find the scale factor and the…

A: Solution:-

Q: (1) y = x, y = 2- |x| (2) y = 1/x², y = 8x, y = x/8

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Q: (b) Pak Majid sells three grades of eggs A, B and C. The total price of a grade A egg and a grade B…

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Q: Let f: R→ R' be a ring homomorphism of commutative rings R and R'. Show that if the ideal P is a…

A: Let f : R → R' be a ring homomorphism of commutative rings R and R'. Here , P is a prime ideal of R'…

Q: Solve the quadratic equation: 2 z² − (3 + j5)z +j8-5=0 -

A: To Solve: the complex quadratic equation z2-(3+5j)z+8j-5=0.

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: Prove that Define functions f(x) and g(x) as follows: 2 2 f(x) = 7/7 S e-tedt, g(x) = ²/1/²0 L…

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Q: B/Find the oblique asymptote of the function f(x) -3x²+2 x-1

A: To find The slant asymptote of f(x)

Q: Solve the equation [1]15 X+ [9]15 = [12] 15 X + [7]15 for XE Z15. Write your answer as X = [X]15…

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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: Evaluate: lim (1 + 2* + 3* + ... + 99t)¹/x X→∞

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Q: Given a differential equation as d²y x2 dx² +4y=0. dx By using substitution of x = e' and t = ln…

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Q: Let A={mez: m = 2a for some aeZ}, B= {mez: m = 2a for some aeZ}. Show that A=B. (need to show A≤B…

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Q: 1. Can we use cofactor expansion in any n x n matrix? Why? How? 2. Does a 1x 1 matrix has…

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Q: What is the differential equation corresponding to the general solution y² = Cx³? dy A dx-2x = dx 2y…

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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 general solution of xy(xy5-1)dx + x²(1+xy5)dy=0 ?

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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: A set S of vectors in R4 is given. Find a subset of S that forms a basis for the subspace of R4…

A: Basis for the subspace

Q: Based on the figure below, approximately how many orders of magnitude bigger is the genome of…

A: Given,A figure showing genome size in log for different genomes.To find: Order of magnitude of the…

Q: Create 2 sample word problems with derivative functions (include solutions)

A: Solution:-We want to impose a coordinate system on the situation of the problem. So suppose that the…

Q: Show that the Bessel functions J, (v ≥ 0) satisfy where A, are the positive zeros of J,,. [* IJs…

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Q: Find a general solution. 7y" + 13y' - 2y = 0 y(t) =

A: Solution

Q: Complete the proof: If A≤B and B≤C, then ACCn(transitive property for set in inclusion) Need to…

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Q: 20) The figure below gives the US consumption of petroleum over a 10 year period. Estimate the…

A: The given chart is  To find: the average consumption .

Q: Solve the DE sinx siny dx + cosx cosy dy = 0 by separation of variables. (A) cos y sin x =C sin y B…

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Q: Find the Fourier transform of the given waveform. f(t) -2 -1 7 1 0 1 2 r(s)

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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: Follow up question. We are given   α2 = 0.1[cm2/s] and a hoselength of 1m. What is the temperature…

A: As per the question we are given : α2 = 0.1 cm2/s, and the hose length : L = 1 m Now using the…

Q: (b) Use the GaussJordan function to solve the system: 1 2 3 4 5 6x₁ 91 1-325-4 6x₂ 37 6 1-2 4 35 63…

A: Augmented matrix of the given system 123456911-325-463761-24356332-1456814-2-1365695-6-34-21-4

Q: 3. Find a power series expansion about x = 0 for a general solution. Your answer should include a…

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Q: 5. Let V be a vector space over C and let T: V → V be a linear transformation. (a) Give the…

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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…

Q: For the function f(x, y) = −xy2, find the solution from x = 0 to x = 1 with an increment of 0.2 by…

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

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Q: ACTIVITY 1. Construct the truth table: (p^ q) → (~pv q) and determine whether it is a tautology,…

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Q: 5) A machine sells sweets in five different colors: Red, Green, Orange, Yellow, Purple You cannot…

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Q: Evaluate. 1²9 dx 2 + X

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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: 1. A proposition is a declarative statement. 2. Every false proposition is a contradiction. 3. If…

A: A contradiction is a compounded proposition that is always false

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: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous…

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Q: Problem 2 Find the z-transform of the following equations: a. 2un+n b. cos(3n) + 2 sin (3n)

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

A: Used Formulae :  L{eat} = 1/(s-a)  L{1} = 1/s L{tn} = n!/sn+1  Shifting theorem of laplace transform…