Evaluate the following: a. L-1 -1 b. L-¹1² c. L-1a²s [3+12s] s² 9s²+2b. S3 a²s²-2abs+2b² S3

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Q: d) Given a and r = -5, calculate S6. 2 e) Given tn = 3tn-1+2 and t4 = (-2), find ts.

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Q: 1. D² {Sin ² x 3 2. JD²-15² √2e²x3

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A: \documentclass{article}\usepackage{amsmath,amssymb}\begin{document} (a) Norm x=Norm y=1\\ Let angle…

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Q: Problem nas Find ypt y" - 4y +4y урт 9.5e²+ = +² +1

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Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval:0<=x<=pi

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Q: 4. Show that a sublinear functional p satisfies p(0) = 0 and p(-x) ≥-p(x).

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Q: Solut Now, Given height (h) = (h) = 7cm radius (r) = dh 1 = dr Formula: volume of cylinder volume…

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Q: f(x) = (219+d) x¹ + (9+d) x ³ + (4+d) x²-allxd² in [0, 1] up to 10-4 secent method using f(x) = 228…

A: As per the question we are given teh following function : f(x) = 228x4 + 18x3 + 13x2 - 211x - 9 And…

Q: 1. Compute u + v and u-2v where u = -5 and v = T 2

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 1. The Laplace transform of the function y(t) = t5 is a. 20/s5 b. 1/(s-5)6 c. 120/s6 2. The Laplace…

A: Note: Hi! Thank you for the question, As per the honour code, we are allowed to answer three…

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Q: 2. Let A M, (R) be given. (a) If AA¹ On, prove that A-0₁. Does this hold if A € M₁(C)? (b) Suppose…

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A: This is the problem of Linear Algebra and Linear Transformation.

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Q: 9) If f(z)=u- iv is analytic in the z-plane, then the C-R equations satisfied by it's real and…

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Q: If F is a finite field of characteristic p, then aap is an automorphism of F.

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Q: 10. Use a number line or an illustration to solve the following problem. Also state what division…

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Q: 2.) Solve Implicitly 3 (2xy +) dx + (3x³y² + siny) dy =o

A: Here we have to find solution of given differential equation.

Q: Example 8.27. Using trapezoidal rule, evaluate I = 1²₁² dxdy, taking four sub-intervals. r+ v

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