Which of the following diagrams represents a function? And give the reasons why it is a function or not? Let X={1,2,3,4} and Y={a,b,c,d}. i) f:X→ Y 1 a b 3 C 4 d

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: 32. Determine whether the given relation is reflexive, symmetric, transitive, or none of these. D is…

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Q: 5. Use a trigonometric solution to find the magnitude of the resultant of the following coplanar…

A: We have find magnitude of the resultant force.

Q: Q4. (*) Let W be a Brownian motion without drift. Find the distribution for the following limits:…

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Q: Ive Partial Differential Equation (( ди ди = a?u_ifx=0, = a sin y and ду ax

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Q: 1. Find a reduced residue system modulo each of the following integers. a) 6 b) 9 c) 10 d) 14 e) 16…

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Q: Let m, n E Z+ such that gcd(m, n) = 1. Suppose there are M and N abelian groups, up to isomorphism,…

A: Please comment if you need  any clarification. If  you find my answer useful put thumbs up. Thank…

Q: 1. Write a paragraph at a level that a high school student would un- derstand that explains your…

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Q: B. (12xy? t +2X こD

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Q: H.W: Estimate the root of the equation for the following equation using Secant Method: 1. x3-5x = 3…

A: We can have this using secant method

Q: 1.86 Prove or give a counterexample: Every open cover of a finite subset of R has a finite subcover.…

A: We need to determine whether given statement is True or False. Every Open cover of finite subset of…

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 3t2 4 sin(5t)…

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Q: 4: You are to choose a non-polynomial function, an interval, and six points at which to interpolate…

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Q: 0) Use divergence theorem to evaluate the outward flux of the vector field F(x, y, z) = r³i+y°j+zk…

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Q: For services rendered, an attorney accepts a 90-day note for $4,800 at 8% simple interest from a…

A: Given, Client will pay interest at the rate of 8% for 90 days. We know,    Interest = Principal x…

Q: .You are designing a spherical tank to hold water for a small village.The volume of liquid it can…

A: According to Newton Raphson method 1st find out two point between which roots lie  If root of…

Q: Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = zi +…

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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: 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: (1) (a) Use a double integral to find the volume of the solid that is bounded above by the plane z =…

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Q: 17. Use the Divergence Theorem to find the outward flux across the boundary of the region D where F…

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Q: Find the Laplace transform. T?e2t sin 3(t – t)dt

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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: 公キW+メ+2 4 V+ 2W+メ+4+2=5 サキ Wt 2X +yキ V +W +X + y + 27 = 8

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Q: Find the sum of positive divisor of 5,020 and also find the pair of this number so that they can be…

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Q: 20. Find the mode, median, and mean, respectively, of the data given in the stem and leaf plot…

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Q: Romberg Integration with 5 and 8 segments e* Sinx dx o 1+ x2

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Q: Find the volume of the solid that results when the region enclosed by y = e", y = 0, a = 0, x = In…

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Q: -3x+3 Given the function f(x)=-4 -2. Determine the mapping notation for this function.

A: Given,f(x)=-412-3x+3-2To determine the mapping notation for f(x).To plot the mapped transformed…

Q: Solve the differential equation below using series methods. %3D (- 8a? – 4)y'" – 8xy = 0, y(0) = –…

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Q: 3 2 Given Rn 6+ i– 6+ i- express the limit as n → 0 as a definite integral, that is provide a, b and…

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Q: 8. Consider the series E- () Zn=1 a. Use the integral test to show it converges. b. If s10 = Eº1 -…

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Q: Find the area of the shaded region shown in the graph. y- 13 sin ye 13 cos x The area of the shaded…

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Q: 2.62 Show that fn(x) = x+n converges uniformly on [0,1] but not on (0, 0).

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Q: 1- Solve the problem P.D.E. u, = uxx + sin(nx) + sin(2nx) fu(0, t) = 0 lu(1,t) = 0 u(x, 0) = 0 0 <x…

A: Solution

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: The displacement s of a body in a damped mechanical system, with no external forces, satisfies the…

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: Recall that the differential equation for the instantaneous charge g(t) on the capacitor in an…

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Q: Let H„(x) = (-1)" -w that h, E L² (R). , x € R, n E No, and let h„(x) dan e H„(x)e¯

A: Sol

Q: b) If 7m is an odd number, then m is an odd number. (Use the îndirect proof approach).

A: To show: If 7m is an odd number, then m is an odd numberby using the indirect proof approach.Note…

Q: Consider the polar curves C: R = 2 – cos e and C2:r = 2+2 cos 0, 6 € [0,2) • Show that both C, and…

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Q: What is the volume of the solid formed by revolving the region bounded by 4y = and 4x = y about the…

A: The given curves are 4y=x2 and 4x=y2.

Q: Find 1) equation of tangent plane and 2) the linear approximation of the function below at the…

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Q: Consider the curve C with parametric equations Sr(t) = t3 – 3t +1 ly(t) = t(t + 1) %3D defined for t…

A: For horizontal tangent slope of tangent is 0 and for vertical tangent slope 10 concavity of y=f(x)…

Q: 2.60 Prove that fn(x) = - 0 pointwise on R but not uniformly on R. However, prove the convergence is…

A: We have to prove that the given sequence of functions is pointwise convergent on ℝ but not uniformly…

Q: y" + 2y" – y' – 2y = sin(4t), y(0) = 0, y'(0) = 0, y"(0) = 1

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Q: A cylindrical tank of radius 5 ft and height 9 ft is two-thirds filled with water. Find the work…

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Q: Q1: Solve the following recurrence relation an = 4an-1 - 3an-2 for n 2 2, together with the initial…

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Q: Real Analysis Prove the theorem: Let {fn} be an equicontinuous, uniformly bounded sequence of…

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