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Q: 1. (y²+ 6x²)dy –- 4xydx=0

A: The solution is given as

Q: Consider the following tank-water system. Tank A holds 200 liters of water, initially pure. Brine…

A: The given data has been illustrated in the following figure,

Q: Draw the conclusion from the following premises using a formal proof (Rules of inference). • If the…

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Q: Use the Runge-Kutta method to approximate x(0.2) and y(0.2). First use h = 0.2 and then useh = 0.1.…

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Q: A Moving to the next question prevents changes to this answer. Question 2 Given the system of…

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Q: Which choice us not a factor of 72? A.18 B.12 C.17 D.72

A: Factors of a number are those numbers which divides the number evenly. That is when a number is…

Q: Find a potential function f for the field F. 7y j+ y? +z? 2 7z F= (In x+ sec (10x+ 10y)) i+ sec…

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Q: 5. (Refer to Exercise 2) A differential equation (see Exercise 2 above) and various initial…

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Q: 2) B&G Jewellers is having a special sale. All ladies jewelry is 35% off. What is the discount on a…

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Q: Does the function F(x) = -x have a cycle of prime period 2? %3D

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Q: Find a basis for the subspace of R4 spanned by S. S = {(2, 5, -3, -5), (-2, -3, 2, -4), (1, 3, -2,…

A: We have to find the basis.

Q: Given points A(5, 70°, -3) and B(2, -30°, 1), find: (a) a unit vector in Cartesian coordinates at A…

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Q: Find the Fourier transform of f(x), if 0<x < a f(x) = Otherwise A. f (w) = (1+ iaw)e iwa B. f (w) =…

A: Solution

Q: Suppose you make beautiful coffee tables out of juniper trees. Your materials cost for each table is…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Express the radical using the imaginary unit, i. Express your answer in simplified form. ±V-49 + %3D

A: Given y=±-49 Task: Express y using the imaginary unit i. where i=-1 (imaginary number)

Q: Which of the following are true for the adjacency matrix of the attached graph? 1. ||A||F = 4 2.…

A: Given: A graph To find: Which of the following are true for the adjacency matrix of the attached…

Q: Test the series below for convergence using the Ratio Test. In(n) 6h n=2 The limit of the ratio test…

A: There are many methods to find the convergence and divergence of a series. One among such method is…

Q: Determine whether the subset of Mn.n is a subspace of Mo.n with the standard operations of matrix…

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Q: The velocity of a falling pärachu by the function. Using Newton- Raphson method compute for the…

A: Given equation: v=gmc1−e−cmt To approximate the mass m using Newton-Raphson method.

Q: 4 2 8 4 -1 -1 -1 0 -1 0 -6 -3 1 1 Use B- to solve the SLE CS(B, 7) Let B = and 7 3.

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Q: Solve the differential equation xy' - 3y = 2x° In x. The solution is y = (Type an expression.)

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Q: Find a basis for the subspace of R* spanned by S. S = {(-20, –7, 2, –4), (21, 7, –2, 4), (-9, –3, 1,…

A: We have given set of vectors ,  S = -20 , -7 , 2 , -4 , 21 , 7 , -2 , 4 , -9 , -3 , 1 , -2 , -18 ,…

Q: Create two 2 x 2 matrices A and B, to show that (A+ B) - A+B is not always true. Clearly write A, B,…

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Q: The linear operator L defined by L(p(x)) = p'(0) + 2p' (x) maps P, into P1. Find the matrix…

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Q: 9.

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Q: 20. Jeremy has purchases a car and has taken a loan. The car is valued at $12,500. The loan carries…

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Q: Question Two Solve For x in the following i. 2x+3 21-x + 15 %3D ii. log (6x + 4) – log (x – 6) = 1…

A: As per the company guidelines, we are supposed to answer only first 3 subparts in case of multipart…

Q: Consider the following system of two species x(t) and y(t): da 0.3x – 0.001cy dt dy = 0.6y – 0.004xy…

A: Given that  (dx)/(dt) = 0.3x - 0.001xy (dy)/(dt) = 0.6y - 0.004xy x(0) = 30 y(0) = 70 We have to…

Q: Theorem 4.2.5 (Cauchy's mean value theorem). Let f : [a,b] –→R and o: [a,b] → R be continuous…

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Q: 1+ 2n² Xn {Tn} 1– 3n2 - Prove that the sequence where is bounded.

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Q: e elliptic cone O is graphed below: -10 10

A: In the given question, traces can be formed by putting the indicated value. Equation of Elliptic…

Q: Given: In(1+x) = (-1)" -2n+1 _if ]æ| < 1. n + 1 n=0 1. Find the Maclaurin series for f(x) = x ln…

A: Given, ln1+x=∑n=0∞-1nn+1xn+1  , x&lt;1 To find: Maclaurin series for f(x)=x ln1+x2 As per the policy…

Q: Vx* +5x' +3 dx x' +2x? +4

A: Comparison test for converges

Q: 7. Using Kirchoff's current law, the current for node c B gives: 1 + I = I3. Using Kirchoff's…

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Q: c. Identify the critical numbers of f and the possible points of inflection of the graph of f. d.…

A: c) Equate the first derivative to zero to find the critical numbers. xx+8x-2x+23=0xx+8x-2=0x=0 or…

Q: a) Show that the matrix H constructed from a matrix A, as H = i(A – A†), is Hermitian, whether A is…

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Q: If y' = х-у then its solution is x+y'

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Q: Write v as a linear combination of u1, u2, and u3, if possible. (Enter your answer in terms of u1,…

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Q: وبايلد ا)قدژىا

A: To Rewrite the triple integral as an iterated integral in the order dzdydx

Q: Find a basis for and the dimension of the solution space of the homogeneous system of linear…

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Q: [1 2 31 What is the trace of matrix A? A = 4 -2 3 [4 7] O -6

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Q: A camera company estimates that the demand function for its new consumer digital camera is p=312e^…

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Q: d 500 as a monthly payment for a new car. Your bank offers car loans at 4.5% APR for 3 years. How…

A: Introduction: The formula for the monthly payment is given by, M=Pr1+rn1+rn-1 Where P is amount of…

Q: lowing fun T < x < ) < x < the Fourie third harm

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Q: Evaluate R where R is the region bounded above by the line y = 3, on the right by the circle (x -…

A: We have to evaluate ∬RydA

Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) positive?…

A: Given that a graph We have to find derivative of f(x) is positive.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Given, A=( 1,1,0 ); B=( -2,3,-4 ); P=( -3,1,6 )To find: Distance from point P to the line through A…

Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

A: Given that Number of weeks =5 S(t)=900e^t We have to find average weekly sale after 5 weeks

Q: Let g be a function that is defined for all x, x not equal to 2, such that g(3) = 4 and the…

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