(y² + xy)dx-x²dy = 0

Q: The table below shows the result of a 5 point musical aptitude test given to a group of first grade…

A: We need to find the average (mean) aptitude score and median aptitude score for the data score…

Q: (3-1/2+1) ⁹

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Q: Question 8 Given f(x)=x and g(x)=-+2, determine: a) (fog)(2) b) (gog)(-1) c) (gof)(x) =

A: The solution is given as

Q: Solve The equation cosx-x Mamer Mamerically using secant approach

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Q: d²y 2x(1-x)+(5-7x)-3y=0 dx dy dx

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Q: 1. Determine the convergence of the following sequences. C. 3n {(²1+5) ³7}

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Q: 1. Find the root of system of equations using Newton Method. Employ initial guesses of x=y=1.2…

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Q: Let G be a group. The centre of G is defined as the set Z(G) = {g ∈ G : gx = xg for all x ∈ G}.…

A: Let G be a group. The center ZG of group G is defined as follows. ZG = g∈G : gx = xg , ∀x∈G We need…

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A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: Consider the differential equation (D₁): 2i(t) — 8e-z(t) +5=0, x(0) = ln(4) and the relation y(t) =…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Given the following initial-value problem: dy dt di² y(1.5)=1. y'(1.5)=1. Determine numerically the…

A:

Q: Consider the model dP dt where P(t) represents the size of the population at time t. = 5P + 10P²,…

A: In logistic model as competition increases ( i.e. population growing ) resources become increasingly…

Q: The coefficient matrix A below is the sum of a nilpotent matrix and a multiple of the identity…

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Q: 18. Over a period of one week, the Dow Jones Industrial Aver- age (DJIA) did the following: On…

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Q: Q/Find half-range sine and cosine expansions of each of the following functions : 0 ≤ t ≤ 1 1≤t≤2 7…

A: We have to find the half-range sine and cosine expansions of the given function ft=t0≤t≤12-t1≤t≤2

Q: Find the general solution for the first-order differential equation. dy dx 16x

A: We have to find general solutions of given equation.

Q: 1-) L [ 2 sin ½ t cas ½ t) {

A:

Q: Compute the definite integral T/4 0 5 sin² (3x) dx

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Q: Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: A Markov system with two states satisfies the following rule. If you are in state 1 then of the time…

A: Consider the give system. We have to write the transition matrix for this system using the state…

Q: 2n J₂ (x)=x [Jn-1 (x)+Jn+1 (x)]

A:

Q: Theorem Let f: G H be a group homomorphism. Then, Im fs H.

A: Let us consider the mapping f:G→H. Then f is group homomorphism if  f(x·y)=f(x)·f(y) , x,y∈G Image…

Q: Calculate the indicated Riemann sum S3 for the function f(x)=x²-8x-9. Partition [0,6] into three…

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Q: levels on an estuary, am creasing river flows, so m 25 hours giving th anto

A: Given as, 12sin3π25tcosπ25t+15=14sin3π25tcosπ25t+17

Q: Theorem Let f: G H be a group homomorphism. Then, Im f≤ H.

A: Let us consider the mapping f:G→H . Then f is group homomorphism if  f(x·y)=f(x)·f(y) where, x,y∈G…

Q: Give a set of vectors that is linearly dependent for P3 Show your work.

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Q: Theorem 3.1. Let ƒ € C¹[a, b] and 0 < y < x be two real numbers. We have Σ f(n) = = 1₁² f* y<n<x…

A: As per the question we are given the Euler's Summation Formula which we have to prove and we will…

Q: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: i. a…

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Q: xample: Solving Axb, Ux = c, and Rx = d 1x1 + 2x2 + 3x3 + 5x4 Ax=b is 2x₁ + 4x2 + 8x3 + 12x4 = 3x₁ +…

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Q: QUESTION 1 Find the volume by using polar coordinates. The region bounded by the paraboloid 2x²y and…

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Q: 62. A particle is moving on the x-axis with a velocity of v(t) = t² - 3t-18. For what values of t> 0…

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Q: Let be the relation on True False N defined by R={(n, m) : m³ = n + 1). Then R is one-to-one.

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Q: (y² + xy)dx=x²dy=0

A:

Q: calculate y" at x=1 given the following y(0)=5. system y"=5xy'+2xy+5x+1. y'(0)=2

A: Please see the attachment

Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =…

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Q: Given the data x₁ i Y₁ 0 0 1 0.5 a. Construct the least squares polynomial of degree 1, and compute…

A: Given the data   xi 0 1 2 3 4 yi 0 0.5 0.4 1 2

Q: How long will it take money to quadruple with continuous compounding at 12% interest? 15,019 72 Ob…

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Q: Solve the following initial value problem using Laplace transform method: y' +6y=e4t; y (0) = 2.

A: We solve by using Laplace Transform.

Q: If fel²() and gelices. prove that fgeles.

A:

Q: For all a > 0 and b> 1, the inequalities In (n) ≤n, n < b are true for n sufficiently large (this…

A: We write an inequality comparing (ln(n))8 and n.

Q: Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) 52 25 - 3 2 x' = Find…

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Q: Refer to the following normal curve, with mean μ and standard deviation o. What is the approximate…

A: Solution :-

Q: 195,000-40,000 is 155,000

A:

Q: 1. A company is evaluating two projects, A and B. The company's cost of capital has been determined…

A: Use the following formula, to calculate the net present value. NPV=CF11+k1+CF21+k2+⋯+CFn1+kn-Initial…

Q: What interest rate was applied if a loan of ₱65,468 will amount to ₱125,000 borrowed for 2.5 years…

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Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. g(x) f(x) + g(x)…

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Q: 2. Find all the 6th roots of 32-32√3i.

A:

Q: ute a fundamental set of solutions tal set of solutions of the differentia

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Q: 4. If fige Lim. 1/2 show that fy & LUTY.

A:

Q: A vlogger receives a notification each day of how many views their vlog received that day. This…

A: Please see the attachment