a. determine whether the system is homogeneous, b. find its order, and c. write it in matrix form. = y² + z y' = x + z 7

Q: Determine whether the series En 3n+1 ln(n+1) is convergent or divergent. +∞ n²

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Q: хун + (у1) 2 = 0 C

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Q: # 10. f(x) Determine a possible equation for f(x) given its graph below. 3 Equation: f(x) = بابل

A: To Find: Equation of the function which is represented by the curve drawn in the figure.

Q: b) Use Convolution theorem to find £-¹(2) S3+45

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Q: How many primes do we have in the following arithmetic progressions: (a) 4, 10, 16, 22, 28, 34,...…

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Q: If A={1,2,4} and B={1,3,6}, U={1,2,3,4,5,6}, what is An (AUB) a. {5} b. { } c. {1,2} d. {6} O a Ob…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² + xy + y² +…

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Q: 2. Let A (1,-1,0) and B = (2,1,-2). (a) Solve for projgA. (b) Find the angle between projgA and A.

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A: Follow the steps.

Q: price she would break-even. She can sign up a total of 50 lesson slots per week. F

A: Introduction: The break-even point is computed by dividing total fixed costs by the price per…

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Q: (10) IF: A = 2i-j+2k and B = 9i+20j + 12k Find: (1) Unit vector for A direction. (2) Unit vector for…

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Q: erify Stokes Theorem for the ve lane x + y + z = 1 bounded b orientation.

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Q: Consider the initial value problem (x+1)y" - y" - (x + 1)y' + y = 0 y(0) = 2, y(0)' = 1, y(0)" = 1…

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Q: 9. If S and T are finite spanning sets for a vector space V, then S and I have the same number of…

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Q: A nontraditional deck of cards has 30 total cards: 5 hearts, 10 clubs, 8 spades, and 7 diamonds. The…

A: Solution :-

Q: Find the magnitude of the vectors represented 3 by (@5 0² 05 + !|

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Q: в хгу" + (у! y" (y) = , - 2+ C

A: The given differential equation is                              x2y''+y'2=0 To solve this…

Q: 1. The linear span of a set S is the (a) largest subspace contained in S. (c) smallest subspace…

A:

Q: 6) Consider the plane P: z+y-2:= 0 in R³ that contains the point P₁(1, 1, 1). Answer the following…

A: As per the question we are given the plane P and a point P1 on it. Now we have to find the…

Q: 5. Let c ER and suppose f, g: R → R are functions such that limc f(x) exists, and for some > 0,…

A: Given :  f,g : ℝ→ℝ are functions such that limx→cf(x) exists and for ε>0,  g(x)≤f(x) whenever…

Q: 3. Which of the following are equivalent to Vx: P(x) ^ Q(x)? a. 3x : ¬P(x) V¬Q(x) b. Vx : ¬P(x) ⇒…

A: We need to see what statement is logically equivalent to ∀x : Px∧ Qx

Q: 4. Use Taylor's Inequality to estimate the accuracy of the 5th degree Taylor polynomial…

A: Taylor's inequality: The remainder Rnx when a function fx is approximated by the Taylor polynomial…

Q: 2. By changing to cylindrical coordinates, evaluate 2 2π Stt. [²* * cos p² sin³ o dp do dô 0

A: To Evaluate: The integral ∫02π∫0π/4∫02/cosϕρ4sin3ϕ dρdϕdθ by converting it to cylindrical…

Q: (Think Bernoulli) Solve implicitly dy dx - y = e²xy³

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Q: Given the standard basis {₁,..., en} for the real vector space R" complete with the product in…

A: Using the property of inner product.

Q: 4. Use Taylor's Inequality to estimate the accuracy of the 5th degree Taylor polynomial…

A: We use Taylor's Inequality.

Q: using hessian matrix define maxima or minima Z F f(x, y) = x ³ +y ²-3x 3

A: Given function is z=f(x,y)=x3+y2-3x Now critical points ∂f∂x=3x2-3 ∂f∂y=2y For critical point…

Q: (a) Find the Jacobian matrix ду əx where y -B I2 I3 3+11 2+2r2 and x = 1+373

A: (a) Given y=3+x12+2x21+3x3 and x=x1x2x3   To Find: The Jacobian Matrix ∂y∂x

Q: ts of peppers on day one, 7 bas ets more than the previous day er Piper pick on day 20?

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Q: g+y= 쓸 - zxe - 5

A:

Q: (a) Define what is meant by the eigenvalues and eigenvectors of a matrix A. If the matrix A is 201…

A: (d) The matrix given is as follows: A=201-22-310-1209 We are asked to find the dominant eigenvalue…

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A: Line integral of function f(z) along a path C which given by parametric function γt from t=a to t=b…

Q: 7. There are 12 students in a class. In how many ways can the 12 students take 3 different tests if…

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Q: 6. The ideal gas law describes the state of a hypothetical ideal gas, i.e., PV = nRT where P is the…

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Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

A: We are given that f'(x)=e-xx2x-2 For local maxima/minima, f'(x)=0e-xx2x-2=0x=0 or, x-2=0x=2 now, we…

Q: 3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. 1 Find the unit vector…

A: Given, X = -i + 3j  and Y = 4i -2j + 2k

Q: In the graph below, 0<f(x)<g(x) with f(x) in red and g(x) is blue. What, if any, information do we…

A: This is a problem of Improper Integral.

Q: 1. The linear span of a set S is the (a) largest subspace contained in S. (c) smallest subspace…

A: By definition of linear span we know that The linear span of a set S of vectors is the smallest…

Q: DIRECTIONS: Draw the following sinusoidal waveforms: e = 120 sin (wt+200) i=-25 cos (wt-n/3) e = 220…

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Q: In a computation with Euler's method, the following results are obtained with various step sizes: h…

A: The formula that we have to use here is VRE ≈AVh2+AVh2-AVh3 Where VRE is the approximated value…

Q: Which of the following relations is not a function? a.{(3,3), (2,3),(0,4),(1,4)} b. {(3,3), (2,3),…

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Q: an you please write this on paper as i requested in the question? It helps me undertand better thank

A: This is the question from LinearTransformation.

Q: 2. Find the Taylor series expansion of f(x) = ln(3-2x) about a = 1.

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Q: PG) = ≤ Li (x) yi

A: Typing the handwritten part

Q: Question 2 i. Use the bisection method of finding roots of equations x-x-1=0 use the initial…

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

Q: (a) What is the rebate fraction of a 36 month loan paid off after the 15th payment? (b) What is the…

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Q: Maximize f = 7x + 5y subject to the following constraints: 3x + 4y < 24 2x + 1y ≤ 10 x ≥ 1 Find the…

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Q: 1. Find the centered difference approximations of 0(h^4 ) for the first derivative of y=sin(x) +…

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…