1) a) Find all vectors such that <1,2,1 >X =< 3, 1, −5 > b) Explain why there is no such that < 1,2,1 >X =< 3, 1, 5 >

Q: Which of these series, if either, converges conditionally? 1. - (−1)k k=√k (-1)k II. Ÿ (- 1)*…

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Q: c) L-1, 4s² - 21s+ 30 (s² - 6s+13) (s – 4) -

A: Above question is solved.

Q: Investigate if the integral is convergent or not. Justify your answer.

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Q: Question 4 (a) Solve the following: [²4x¹dx (b) Explain with the aid of a sketch how this value can…

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Q: Question 5 limx→→+∞ (1 + ¹)² O ll SO III OIV O Not Indeterminate

A: Please mention also what the first four options wants to represent here ...as correct answer is e .

Q: 5. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = X. 4 f(x)= = and g(x)…

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Q: lim,+1+(1²-2-²-1) In

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Q: What is the z-transform of the ?signal x(n)=(0.5)nu(n) Roc |Z| 0.5 Option 1 1 (1-0.5z-¹) 1…

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Q: Convert the following iterated integrals (SET UP ONLY): x² a.) [f dA from Cartesian coordinates to…

A: The simple change polar coordinate...

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: The given function: gx=-4ex.We need to find the slope of the function at the given point.

Q: of the given conditions. lim f(x) = ∞, Sketch the graph of an example of a function f that satisfies…

A: Topic:- limits

Q: Differentiate the following expression: y = x² cos 4x

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Q: *An Integration factor of the following differential equation dy (x log x) + y = 2log z dx Option 3…

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Q: An airplane is heading north with a constant velocity of 450 km/h. The plane encounters a west wind…

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Q: 7. Find the parametric equations of the line passing through A(1, -2, 6) and which is perpendicular…

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Q: lim √25t2 + 2-5t

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Q: Find the limit or show that it does not exist. lim √25t² + 2 − 5t t-x

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Q: Two families went to Rollercoaster World. The Brown family paid $170 for 3 children and 2 adults.…

A: Disclaimer: Since you have asked for the handwritten solution but currently we are not providing any…

Q: Question 4 (a) Solve the following: (b) Explain with the aid of a sketch how this value can be…

A: Above question is solved.

Q: The distance between the points (-8, m) and (m, 9) is 13. What are the possible values of m? a) 3 or…

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Q: A = 1 4 2 4 व B = [2 00 Tonm 0 4 -2 1 D = -2 0 0 0 1000 0120 0 1 1 1 1

A: Concept: Determinants: For a square matrix, a determinant can be defined in several ways. The first…

Q: Q4) If the power series method was used to solve the following ODE. (x-0.5)y"-y' + (x² - 1) y=0, x=…

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Q: Find the limit or show that it does not exist. √x+3x² lim 818 4x - 1

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Q: ng expression:

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Q: let A be a bounded. Sup A non. n-empty set in R show that is a limit point of A.

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Q: 2X 4) y = C₁ + c₂e² c + C3 e-3x

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Q: The function f(x) 2x³ = local minimum and one local maximum. This function has a local minimum at x…

A: The given function:fx=2x3-45x2+300x+6.We need to find its local minimum and local maximum.

Q: Calculate the direction of P1P2 and the midpoint of line segment P1P2. P 1(3, 4, 6) and P 2(6, 0, 1)…

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Q: Find the extreme values of the function f(x)=x√√1- x .- x on the interva

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Find the orthogonal trajectories of x = C exp (-y²). Oy=C*exp(-x) Oy=C*exp(2x) Oy=C*exp(-x^2)…

A: Given problem:- Find the orthogonal trajectories of x = C exp (-y²).

Q: Which of the following definite integrals setup (in terms of y) provides the area of the region…

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Q: c) y(x) = c₂x² + ₂x Q20) The form of a particular solution of y"-4y' - 12y = sin(2t), is: . a) y,…

A: Using inverse operator

Q: y' 1+x² x Y

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Q: Q2) Determine using Cauchy Riemann equations the function below is analytic or not? f(2)=x² +…

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Q: 3 M8 n=1 (Inn) 13/2

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Q: Find a plane containing the point (-3,-3,5) and the line x(t) y(t) z(t) = = 8 + 4t -4-6t -7-3t

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Q: Which of the following functions is entire? For each, justify. = 2(32) ƒ(z) = 2'

A: Given :   f(x)=2(3z)

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: 13. dx/(x²-4)

A: Since you have posted multiple problems we will answer first problem for you. If you need any other…

Q: 5. Find the vector equation of the line passing through A(4, -3) that is perpendicular to x - 3y + 6…

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Q: If f'(x) = g'(x) for 0 < x < 1 then f(x) = g(x) for 0 < x True False

A: Topic:-  application of derivatives

Q: 16. √(16-9x²) dx 17. dx/ (9x² + 4) 18. sin³ x cos x dx 19. f (secs x) dx/csc x 20. Stan² x dx

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Q: Let ā= . Find a unit vector in the direction of a

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Q: or each function h(x), find two functions f(x) and g(x) such that h(x) = f(g(x)) a) h(x)=√x² + 3 b)…

A: Topic:- function

Q: 6 sinh t 6 cosh 51 Option 2 O Option 3 * What is inverse Laplace for 6s s² +25 6 sint 6 cos 5t…

A: In this question, we need to find the inverse Laplace of given function.

Q: 1. Given vectors u = 21-4ĵ- 3k and = (3,-1,2) and points A(3, -4, 2) and B(6, 3, -2), find if…

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Q: Suppose that the function fis defined, for all real numbers, as follows. x-2 if x < -2 f(x) = 3x+2…

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Q: Find a plane containing the point (5,-6,-3) and the line x(t) y(t) z(t) = = = - 4 - 7t 1 -8t 3 - 4t

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Q: Cn = COS * ´π(1+4n)` 2

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