8. Twenty one boxes contain in total 200 cards. Show that at least two boxes must contain the same number of cards. You must justify your answer.

Q: 258. Are the lines of equations and x = −2+2t, y=-6, z = 2 + 6t x= -1 +t, y = 1+t, z=t, t€ R,…

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Q: rated, i.e. for each z EL v on the left is K4 and E

A: LetF (n)denotes the number of perfect matchings ink2n. Then, Clearly a₁ = 1. Now, ink2n, (where n…

Q: Determine whether it is stable or unstable. D) dx₁ dt = 3x₁x2-x1 + x2 dx₂ dt =x²-x₁

A: D Given system of differential equation is dx1dt=3x1x2−x1+x2dx2dt=x22−x1 We have to determine…

Q: Let X be a Banach space and T = L(X, X) have ||T|| < 1. Define Tº to be the identity map (that is,…

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Q: Find T(10 + 7t) when T is a linear transfo

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Q: Special Function Values. Find the values of 42. cos (57 + 2i)

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Q: K A ← P. -2 -9 8 7 6 -5 -4- 3 2 1 -10 -9 -8 -7 6 5 4 3 -1 0 2 3 4 5 6 -2 Use the applet to translate…

A: Draw the graph of quadrilateral ABCD after shifting it 2 units left.

Q: Find the solution to the following linear programming problem using the simplex method Max…

A: MAX (Z) = 4x1 + 3x2 + 2x3 subject to :     3x1 + 2x2 + 5x3 ≤ 23         2x1 + x2 + x3 ≤ 8…

Q: 31-35 Analytic Functions. Find f(2)= u(x, y) + iv(x, y) with u or u as given. Check for analyticity.…

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Q: Find the general Solution of the following PDES ди -5X -3x 17 9 = 2 ди +u, ucx;o) = ду + 2 е ax…

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Q: (d) A commutative ring R is a prime ideal of itself. (e) If p and q are primes, then there is a…

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Q: vector function F(t)=(t, 1-t, t-4t), find the acceleration and the the on of the tangent parabola to…

A: find the equation of the tangent parabola &amp; acceleration

Q: 3. A curved lamina is in the shape of the surface defined by R(u, v) = (u cos v, u + v, u sin v),…

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Q: 6. [s] Set up only a triple integral that will give the following: (a) the volume of R using…

A: Only draw the solids by hand.

Q: Evaluate L{3e−2(1−t)+t3e2t+2t2sinh(2t)−4e−2tcos(π−3t)}

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Q: E. Inverse of a Matrix II. Solve the following Given matrix G, 1. Find (1,3) entry of G-¹. 2. Find…

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Q: asic PDEs du A function u obeys, du = y². Which of the following is a valid answer for u and dr dy…

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Q: Let N = (0, 1) and 1 0 such that ||9n||LP (2) ≤ M, VEN

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Q: Determine the values of a, if any, for which all solutions of the differential equation y" (2a -…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: 1. [ Identify the surfaces of the following equations by converting them into equations in the…

A: The relation between the Cartesian coordinate and spherical co-ordinate…

Q: a) Show that F is conservative while G is not. b) Evaluate GdR, where C3 is defined by R(t) = tî +…

A: This is a problem of vector calculus.

Q: Find the coefficients of a* in (6 – ½a)6 and kª in (3k – 21)¹2

A: We have to find the coefficients of a4 in 6 - 12a6 and k4 in 3k - 2l12 . Note that,       a - bn…

Q: hand written plz 1 5. Let D be the region bounded by the lines y = x, x = 3 and the curve y = (a)…

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Q: Consider the statement Vxy (y <x) Let x be all natural numbers Let y = x-1 Is the statement true or…

A: We know that the set of natural numbers starts from 1 and it is an infinite set. This set is…

Q: 7. Before we formulate the problem make one reminder: A function f is quasiconcave if and only if…

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Q: Suppose that h is differentiable and h(x + y) = h(x)h(y). Find a formula for h'(x)consisting of a…

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Q: Use Euler's method with step length h = 0.5 and determine an approximate value for y(3) for the…

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Q: 2. Evaluate dx da da -S /////VE-VE b. C. 1+ a.

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Q: 8. Find two linearly independent power series solutiions centered at x = 0 to the differential…

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Q: Consider the sequence 4, 11, 18, 25, ... Give a closed formula for the nth term of the sequence (in…

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Q: Evaluate L {e-3(1-2) - 1¹e³¹ − 21²cos(2t) + 3e¯'sin(3t+ π) +-π)}

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Q: Min   2A + 3B s.t.     A + 3B ≥ 5     A + B ≥ 4         A, B ≥ 0   Select the correct graph that…

A: The linear function that needs to be optimized is called the objective function. The objective…

Q: What matrix E puts the matrix A into an upper tr 4= U? Show your work! 210 042 A =

A: Introduction: In linear algebra, LU Decomposition, also known as lower–upper (LU) decomposition or…

Q: (51) Suppose that in a class, there are n many boys and n many girls. Among these 2n many people, we…

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Q: Using Bisection method find the solution of T g(x) = 2x - 3 sin =8 Use as initial values 3 <-T 2 2n…

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Q: Let X be a Banach space and TEL(X, X) have ||T|| < 1. Define T° to be the identity map (that is,…

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Q: 31-35 Analytic Functions. Find f() = u(x, y) + iv(x, y) with u or u as given. Check for analyticity.…

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Q: Your are driving away from Tampa. Your distance (in miles) away from Tampa x hours after 12:00 noon…

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Q: 2. Consider the following four functions from R into R, determine if onto or 1-1 function. Support…

A: To find out which of the following function is one-one,  onto .

Q: √ √ (3-6XY) JA where ID is the Evaluate √√√(3-6x9) JA region shown below y=x2 3. 2 y=-x²

A: Let us consider the double integral ∫ab∫f(x)g(x)F(x,y)dydx To solve the integral  Integrate the…

Q: 2. Suppose that z is a function of a and y, and F(x2 - y², xy - 2², yz - 2²) = 0. Calculate and…

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Q: 2. Suppose that z is a function of and y, and F(x2 - y², ry - 2², yz - ²) = 0. Calculate and (Hint:…

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Q: The mean weight of five complete computer stations is 167.2 pounds. The weights of four of the…

A: Let a, b, c, d and e be the weights of the five computer stations. This implies that the weights of…

Q: 5x + 3y+9z= −1 −2x + 3y -z = -2 -x- 4y + 5z = 1

A: The following steps are used to obtain the solution of the system of equations by Gauss-elimination…

Q: Consider a function defined on R² by f(x, y) = y(x + 1)(2 − x − y). (a) Find all four critical…

A: The given problem is to find the critical points of the given function of two variables and also…

Q: 37. tanh z

A: Since  tanh z=sinh zcosh z then the largest circle within which tanh z is analytic is one whose…

Q: A = SooC 0 3 -8 0 0 0 9 T 1

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Q: n Σ tan(kx) tan ((K+1)x) K=A

A: Given,           ∑k=1ntan(kx)tan(k+1)x

Q: b) We are interested in the oscillatory solution given by If the boundary conditions are Identify…

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