Consider a rectangular pulse [1,0 < t < 1

Q: Find a cycle in the graph K₁ and reduce the flow by 1 on each edge. Show that the flow in and out of…

A: Given graph of K1 is

Q: A tailor has the following materials available: 16 square yards of cotton, 11 square yards of silk,…

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Q: Consider parallelogram EFGH below. Use the information given in the figure to find x, mLF, and…

A: In parallelogram EFGH, (1)Opposite sides are equal. (2) Opposite angles are equal.

Q: 13. Calculate the simple interest on a bank loan of $200,000 for a month, with a quoted rate of 6%…

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Q: Use a graphing utility to graph the curve represented by the parametric equations. Indicate the…

A: We need to plot the parametric curve: x=6θ-sinθ, y=61-cosθ using a graphing utility and determine…

Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,3) -5…

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Q: Determine which of these vector fields are conservative. If a vector field is not conservative,…

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Q: Determine whether the equation is exact. If it is, then solve it. e¹ (5y-3t)dt + (4+5 e¹) dy = 0

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Q: Exercise 5 (a) Find a complete solution of Clairaut's equation: 1/3 1/3 z=xp+yq +3pq (b) Show that…

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Q: Based on the following truth table and logical statement, which answer below is logically equivalent…

A: Introduction: If two expressions have the same truth value for all conceivable combinations of truth…

Q: The well-known formula for calculating the sum Sn of the positive integers from 1 to n was already…

A: we have that  Sn2=1·1+2·2+1·3+2·4+....+1·n-1+2·n (a) find an explicit formula to calculate this sum…

Q: f sin(sin(x))dx

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Q: 1. Find the set of V and the set of E for the graph K₁. e S V= E = b j K₁ d g h t

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Q: 2) Given the following: f(x)=x²+2x+1; g(x)=x-1; and d(x)=√x +3, evaluate a. f(h+2) b. d(g(7)) C.…

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Q: (jw+4) (jw+3) (jw+2) A (jw+3) + B (jw+2) A(jw+2)+B(jw+3) (jw+3) (jw+2) Ajw+2A+Bjw+3B (jw+3) (jw+2)…

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Q: proof by contraposition: if x is a prime number >= 5, then either 3 | (x+2) or 3 | (x-2)

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Q: solve the initial valve problem X'=AX, X (+₁) = x² Be sure to notice the intial time to G) A = ( ₁²…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: 6.) State if the relation given by the following graph is a function or not and explain why or why…

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Q: 1) d (x,y)= |x-y| Let's consider the metric Space (IR.d) with the standard metric. TR IR function JX…

A: Given :  ℝ, d is a metric space under the usual metric  d(x, y) = x-y and T : ℝ→ℝ defined by ;…

Q: (jw+4) (jw+3) (jw+2) A (jw+3) + B (jw+2) A(jw+2)+B(jw+3) (jw+3) (jw+2) Ajw+2A+Bjw+3B (jw+3) (jw+2)…

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Q: Give a complete graphical analysis of the function P(x) = 2x² - 12 x³ - 67 x² - 14 x + 9 and its…

A: We have to explain a complete graphical analysis of the function p(x)=2x4-12x3-67x2-14x+9. and its…

Q: 1 The circulation F(x, y) = (1/² + a + x², x(y + 3) + y³) along the bounda- ry of the set = {(x, y)…

A: To find- The circulation of the vector field Fx, y = y22 + x2, xy + 3 + y3 along the boundary of the…

Q: Consider the following function. (4x + 1, 1x² - 4₁ (a) Find the critical numbers of f. (Enter your…

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Q: Consider the function f(x) = 6√√x + 4 on the interval [3, 6]. Find the average or mean slope of the…

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Q: Use the inner product (A,B) = 2a11b11 + a21b21 + a12b12 + 2a22b22 to find (A, B) for 0 A - [27][221]…

A: Given A = 1-124,   B = 01-20

Q: Find the radius of convergence, R, of the series. R = 8 Σ n = 1 I = xn 1.3.5. .... (2n-1) Find the…

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Q: Find the radius of convergence, R, of the series. x4n n (In(n))² R = 8 Σn n = 2 Find the interval,…

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Q: 6n2 n

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Q: u(x, y) = e¯ª (cos x cos y cosh y - sin x sin y sinh y)

A: We have to find the analytic function for which the real part is u(x,y)=e-x(cosx cosy coshy-sinx…

Q: e -t.6t rule

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Q: Given the following set S of polynomials, find a polynomial p(x) in P₂ so that SU {p(x)} spans P2…

A: Here given set S=-5x2+4x-9, -8x2-6x+8 First, check whether S is Linearly independent or not.…

Q: 15. Let A be a 4 x 5 matrix and let U be the reduced row echelon form of A. If 21 -1)

A: a set B of vectors in a vector space V is called a basis if every element of V may be written in a…

Q: 2 Determine if the following series is Convergent 2 MEL on divergent. 1 67-1

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Q: 1. If X-Uniform (-), find the distribution of Y = tan x.

A: Let X have uniform p.d.f. fx=1π for -π2,π2. Here, we have given that, Y=gx=tanx so, g-1x=tan-1x Now,…

Q: Use Euler's method to make the graph of the following functions on the given interval. a) dx/dt = t…

A: Introduction: The Euler's method is a basic and numerical method to approximate an initial value…

Q: fsin(sin(x))dx

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Q: 3. Give an explicit real value general solution following equations. 2 x 6x² + 8x = 2e-97 b) y"-y-2y…

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Q: Test the series for convergence or divergence. 8n! n=1 convergent O divergent

A: We use Ratio test of convergence.

Q: The general solution of (y-1)dx −2(x+y+1)dy=0 by CL2V is

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Q: Find the critical numbers of the function f(x) At x = At x = At x = = 12x5 + 15x4 - 20x³ – 6 and…

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Q: Find the solution of the given initial value problem: y(4) + 2y"" +y" + 8y′ − 12y = 6 sin(t) +80e¯t;…

A: We use method of undetermined coefficient.

Q: Let R(s, t) = G(u(s, t), v(s, t)), where G, u, and v are differentiable, and the following applies.…

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Q: Find the Laplace Transform of the function f(t) = X[0.1] (t)t + u₁(t)e™t.

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Q: A) fex) = (x + log (log (3²+x²)) ; f(x)= O(³√x) B) f(x)= lg (2²-x²); f(x) € (x) A. Only A is TRUE B.…

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Q: What is the area of the parallelogram formed by the two vectors = (1,5) and 7 = (-3,-2)?

A: We need to find the area of a parallelogram formed by the given two vectors u→=(1, 5), v→=(-3, -2)

Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F around the…

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Q: Given y4) — 6y" — 36y" + 216y' = t² + 8 + t sint, determine a suitable form for Y(t) if the method…

A: The given non-homogeneous linear differential equation has the form fDy=gt, where fD=D4-D3-36D2+216D…

Q: Find a general solution for the given differential equation with x as the independent variable.…

A: Given differential equation is y''' + y'' - 6y' = 0

Q: Use the method of undetermined coefficients to determine the form of a particular solution for the…

A: We find Yp(x) by using method of undetermined coefficient.

Q: Use the if f₁ (t) properties of Fourier transform eat alt) = JF.T = 5² f(x) é t ماز - dt o How did…

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