Please please please solve a question in a quarter of an hour 2ks Find the inverse Laplace transform of F (s) = R-12"

Q: h2 Evatuate the followingcartesian integrato by changing them inte equivalent Pelarintegrals: 3-…

A: Using Solution Subject Double integral by polar form

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Q: Assume that G is a non-abelian simple group and that |G| < 168. Prove that G = A5.

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Q: 1. Consider the curve C with parametric equations Sæ(t) = t³ – 3t +1 lu(t) = t(t + 1) defined for t…

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Q: 2. Consider the polar curves C1:r= 3 sin20 and C2 :r = 3 cose, and let R be the shaded region as…

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Q: 1 Find the inverse Laplace transform of F(s) = 2(s² + 25) %3D

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Q: Question 3 Consider a hypothetical conflict between countries R and U, involving a third country A.…

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Q: Let z = f(x, y) = 10x²y – 5x² – 4y? – x* – 2y*. | (a) Draw the graph of the function. (b) Draw the…

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Q: 10. Let ø: Q(V2) → Q(v2) be the map given by ø(a+bv2) = a-bv2. Show that o is a Q-linear field…

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Q: Find the laplace transform of f (t) = 2t* – 3et + 10 sin 3t

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Q: sider the ideals I = (a, y) and J = (x- 2y) in Q[x, v]. Vī, %3D %3D

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Q: If A = 30ein3, B = 102-40°, C = 16.46 + Oi, solve for A + B + C.

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Q: Resolve the vector a = -i+ 4j+9k into orthogonal vectors, one of which is parallel to b =i- 3j – k.

A: Given vectors are a→=−i^+4j^+9k^ and b→=i^−3j^−k^. Here, we using the concept of projection . We can…

Q: The Cartesian equation of the polar curve r = 6 sin 0 is (x – 6)² + y? = 36 - (x – 3)² + y² = 9 O a?…

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Q: If the n-th partial sum of the series> an is Sn = 4 4 then an is n + 2 n=0 4 n + 2 2 n(n +1) 2 (n +…

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Q: The shaded region shown below is bounded by the functions f(x) = -2x2 +2.75x +9 and g(x) = –-0.75x…

A: 1st we need to find point of intersection of given curve and line .Then divide shaded part into two…

Q: A. For the given matrices, verify directly that (RS)* : S*R* and (EP)* = p*E* 1 3 i S = 1 0 1.R= 3i…

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Q: Consider the function defined by f(x, y) = 4x² + y². (a) Find the domain and range of f. (b) Draw a…

A: The given function is f(x,y)=4x2+y2, (a) To find: The domain and range of f. (b) To draw: contour…

Q: Let Ly)= x²y"- x(x+2)4'+ (X+2)y as Consider the homogeneous diffeuntial equation, Lly)=0 (*) is show…

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Q: a. It is known that the tensile strength of a plastic increases as a function of the time it is heat…

A: We can solve this using formula of fit straight line, standard deviation, standard error ,…

Q: 3) Jet Oxln) = #* pernietations o [n] with order k. a) Show thot e

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Q: 2y"' + 3y" - 3y' - 2y = e=t y(0)=0, y'(O)=0, y"(0)=1

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Q: An ascending space shuttle rises vertically from a launching pad. As it rises the shuttle is tracked…

A: Let us solve the problem in the next step.

Q: The slope of the tangent to the polar curve r 2 sin(0) at 0 = is O- V3 None of these 1 V3 V3 1 V3…

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Q: an alent Palar integrals: dxdy 2-

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Q: 2. Prove that matrix Y is obtained from matrix X. Identify the property of determinants and prove…

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Q: /3 So tan (x) sec° (x) dx

A: Evaluation of the trigonometric integral

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Q: Consider the Cobb-Douglas function n f (X1,x2,..,Xn) = x"x. i=1 where x; > 0, and a¡ > 0 for all i=…

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Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for f(x, y) = e cos(xy) for…

A: Consider the given function fx,y=e−x2−y2cosxy. We have to determine the first and second degree…

Q: herz Evaluate the fultowing carteSian integrats by changing them inte equivalent Pelarintegrals: 2-

A: x= rcos(theta) , y = rsin(theta)

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Q: Suppose f and g are differentiable functions on R such that, (x2+1)f (x) + 3xf(x)= e*^2 + 7x and…

A: This is a problem of differential equation.

Q: Consider a two-period, small open economy with endowments on tradable and nontradable goods. The…

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Q: Get up the integrals equal to the area and the perimeter of the region S (ahaded in the figure…

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Q: Let f : R→ R be a differentiable function. Then for all x € R, the derivative of f ( sin (4x)) with…

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Q: b) (12xy2+64+se*)do + CGx?y+2x)dy=0 c) 24 dx + (6x³¬xy•xdy=0

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Q: c) Given the recurrence relation as an=5n+an-1 where the initial value aj=4. i. Find the solution…

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Q: Suppone that fand q ane diffentiable fonctious on IR veh that, Cx+1)f')+ 3x$cx) xe+7x on IR. If f is…

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Q: thi.2 Evatuate the foltawingcartesian integrats by changing them inte equivalent Pelar integrals: 2.…

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Q: Q2// Solve the following differential equation: e2y dx + 2(xe²y – y)dy = 0

A: Given differential equation is e2ydx + 2(xe2y-y)dy = 0

Q: The periodic function f(t) is defined on its period -2<I52 by the formula: f(t) ='+1, when -2<150.…

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Q: [1 2 -1] 1. If A = 3 2 4, verify that detA = detA". L1 3

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Q: 2. Sole Laplace's equation for a rectangular region (0<x<1, and 0<y<1) subject to the given boundary…

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Q: (2) Sketch the domain of integral and evaluate the following integrals (a) So7² Soos" r sin Odrdð…

A: As per policy, we are solving only the first three parts, please repost it and mention that you need…

Q: (a) |V(G)| > a(G) · w(G) (b) |V(G)| = a(G) · w(G) (c) |V(G)| < a(G) - w(G)

A: This is a problem of Graph Theory.

Q: (a)((x+1)² – y²)ª– (2(x+1)y – 10(x+1)²) = 0 dx

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Q: e households and 100 red households will be living in these two neighborhoods. The two racial…

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Q: let lly):xy"-x (42) y' + (x42)y a. Consider the homogenzous dipperential equation Lcy) = i the t y=X…

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Q: 1. Consider the curve C with parametric equations Sæ(t) = t³ – 3t +1 lu(t) = t(t + 1) defined for t…

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