5. +y=ye-² (ve-²) ³ Ans: - e* = ce³x

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A: As per the question we are given a 3d surface S defined as : 4y2 + 4z2 - x2 - 16 = 0 And we have to…

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A: Solution:-

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Q: -42 20 00 2 3 10 3 102 303 Evaluate D.

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Q: 1. (a) Find the rank and nullity of th4e following system of linear equations: x₁ + 2x₂-x₂ + 4x₂ = 0…

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Q: Instruction: Setup the iterated triple integral that gives the volume of the solid. Do this by…

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A: Power series expansion rational function:  interval of converges :

Q: Question 2: Show that path connectedness is topological property. Explain and show your work.

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Q: Let A, B₁, B, be sets. Using induction on 2, prove the following statements: (a) AU (B₁n B₂n CHICA…

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Q: 3) Find the derivative f(z) = 100 a) f(z) = 400z(z²-1) (2²+1) 100 99 b) f(z)= c) f(z) = d) f(z) = e)…

A: As per the policy of bartleby the provisions is to solve only one question at a time

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Q: If R8500 is invested in a saving account offering 5.4% per year, compounded semi-annually, the rate…

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Q: A company determines that its total cost, in thousands of rands, for producing x  items is (image…

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Q: hat is the final answer and it's unit?

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Q: *Problem 3.2 Consider the collection of all polynomials (with complex coefficients) of degree N in…

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Q: Advanced Math b) The curve y= y = x³ + px² - 12x has a stationary point when X=-4 5 i) Show the…

A: Follow the steps.

Q: 8). Prove the validity of the arguments using the method of conditional proof. a). p → q (qvr) → s…

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Q: answer letter b

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Q: If mx = 1 (mod n) has a solution, then nx= 1 (mod m) has a solution. Select one: O True False

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Q: b) The function y(x) satisfies the inhomogeneous second order linear differential equation d²y dy…

A: Variation parameter method

Q: c) y (3) - 54 (²) +254² - 1254 x(esx 125)+25

A: The solution for the asked part is given as

Q: Let S be the surface with equation 4y2 + 4z²x² - 16 -0. 1. Find an equation of the trace of S on…

A: Solution:S be the surface with equation 4y2+4z2-x2-16=0⇒4y2+4z2-x2=161)Traces of S in the coordinate…

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral…

A: Let  I= ∫π4π2ln(tanx)dx Here, a=π4 , b=π2 , f(x) =ln(tanx) Step size h=b-1n=π2-π410=π410=π40 Then…

Q: Find the volume of the solid generated by the region bounded by x2 + y = 6, y = x, y = -2 and x = -2…

A: Here we see the effect of revolving small depth dx.

Q: Problem 25. Find the Laurent expansion of f(2)= 1/[2(2-1)(z-2)] in i) 0< < 1 ii) 1<2<2 iii) 2 < |z|

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: Given the periodic function defined in one period by the function: (bt, f(t) = a, (0, 0 0.

A: The following formulae are used to find the Fourier coefficients of the function fx on the interval…

Q: Theorem 12. Let R is a commutative ring and r e R,fe Hom (M, M'), then rfe. R M, M') defined by (rf)…

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Q: Consider the polar curves C₁ : r = 2 cos 0 and C₂ : r = 2 cos 30, and let R be the shaded region as…

A: Introduction: Apart from Cartesian representation in two dimensional Euclidean geometry, there is…

Q: 1. Determine the absolute extrema of f(x) = (cos x − 1) sinx on [0, π], if they exist, and identify…

A: As per our policy, we are allowed to attempt only first question. Kindly post remaining question…

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Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = 9y - y² and y =…

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Q: A. SOLUTION OF NON-HOMOGENEOUS SYSTEM GIVEN: 7 -3 4 0 -71 A-2 1-1 4 6 010-3 -5 3. SOLVE THE SYSTEM…

A: A=7-340-721-146010-3-5 WE HAVE TO FIND LU FACTORIZATION.

Q: Find the Laurent expansion of g(z) = (2-1)/[2³3 +32² + 2z] in i) 0 < 2 <1 ii) 3<|2| iii) 0<z +2 <1

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Q: Solve the linear system using both gauss-jacobi and gauss-seidel x₁ + 3x₂ - x₂ = 5 3x1 - X2 = 3 x₂ +…

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Q: (Fundamental theorem an module homomorphism) Let M, M' be an R-module homomorphism. Then Ker (f) is…

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Q: 3. Provide a hand-drawn sketch of S using the traces obtained in (1). Label all important points…

A: As per the question we are given a 3d surface S as : 4y2 + 4z2 - x2 - 16 = 0 And we have to find :…

Q: Given x = y²+2y -In(y + 1), find the arc length for 0 ≤ y ≤ 2. B

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Q: 6. Show that the closure Ỹ of a subspace Y of a normed space X is again a vector subspace.

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Q: y = −2x4 + 4ax³ - 5x² - 8x + 1

A: Solution:-

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Q: III. Let S be the quadric with equation 4x² − (y - 3)² + 4z² = 4. a. What type of quadric is S? Find…

A: Here we are given a 3d surface S by the following equation : 4x2 - (y-3)2 + 4z2 = 4 And we have to…

Q: Suppose that two nondimensional quantities are exactly A chapter, express the four quantities (A+B),…

A: Given,          A=8.73       3 siginficant figuresB=1.389     4 siginficant figures

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral…

A: Here the lower limit is π4 and upper limit is π2

Q: Let V be a finite dimensional vector spac there exists a linear functional f € V* such f(v) * 0.

A: