1 If X and Y are хжу compact then so is

Q: we will use the method of separation of variables and Fourier series to derive a solution formula…

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Q: Compute the area between g(x) = 3x - 4 and f(x)= x(x-1)(x-2)

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Q: F(d) F (c-d) T (c) where x 0 and c-d>0. -S₁₁²-¹ (1-1)-¹) ₂F₁1(a,b;d;xt) dt¸ 4-1 (1 - 2F₁(a,b;c: x)…

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Q: The annual domestic revenue (in billions of dollars) generated by the sale of movie tickets can be…

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: Compute the 2 1 4 -1 -1 determinant of the matrix: 3 -2 1 0 1

A: Given that the matrix Let A=2134-1-2-101

Q: Given f: {1,3,5} → {a,b,c,d} defined by the assignment 1b, 3b, 5 → b Is it a function or not? If…

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Q: The following ODE is non-exact DE, we want to reduce it to an exact DE using integration factor μ(x)…

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Q: For z = 5√√7v-w7, calculate = 23% მuმმ b = sin (a) 8 …. 83% მuმuმuy 8 a S2

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Q: The 2×2 real symmetric matrix A has two distinct eigenvalues λ1 and λ2. (a) If v1 =(a,b) is an…

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Q: Y = 2x² is a solution for which differential equation? 2y - y = 0 xy' - y = 0 2y'y"=0

A: We need to determine the differential equation corresponding to the equation: y=2x2. We know that:…

Q: Suppose the 3 by 3 matrix A is invertible. Write down bases for the four subspaces for A, and also…

A: Four fundamental subspaces of matrix A as follows. The row space is CAT a subspace of ℝn, the column…

Q: I. Root Finding Method: Find the root of the function f(x) = e-x+ 2ln (sin x) using the following…

A: This is a question of Numerical Analysis.

Q: The range of sound intensities that the human ear can detect is so large that a special decibel…

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Q: I. Root Finding Method: Find the root of the function f(x) = e-x+ 2ln (sin x) using the following…

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Q: 1. If L{f(t)} = F(s), then

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Q: A quality control expert at LIFE batteries wants to test their new batteries. The design engineer…

A: The population mean μ=1,192 The population variance σ2=8,100 The population standard deviation…

Q: A US firm, having prior knowledge that Russia would invade Ukraine, bought 100,000 barrels of oil…

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Q: x = 2sin²t y = 2sin't tant 4 륜 ㅋㅋㅋ ㅇ t

A: We have to find the area under the parametric curve: x=2sin2ty=2sin2t tant And 0≤t≤π2. The formula…

Q: Problem: Consider the following initial value problem: x²y" + xy + x²y = 0 with y(0) = 1 and y'(0) =…

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Q: Find the coordinates of the vertices, foci, and co-vertices, the equations of the asymptotes, and…

A: Introduction: A hyperbola is a collection of points where the separation between each focus is a…

Q: Microsoft's stock price peaked at 6118% of its IPO price more than 13 years after the IPO† Suppose…

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Q: Solve the integral

A: Introduction: When the limitations are established in order to provide a distinct value, definitive…

Q: A constant volume of cookie dough is formed into a cylinder with a relatively small height and large…

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Q: Ⓒ DAI HOC TON DOC THANG TON DUC THANG UNIVERSITY Example. N Sinking Fund Example: A company…

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Q: For 2 = 23 237 δυθυδω . 9v-w8, calculate 237 θυλυδω

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT yyy Ü♥¯ ¶ ☆ @ ! ! ?? !! ? ?! ¿ ¡ !? S❀ W X Х Х Х Х A * ✓✓✓ DO -…

A: We have not any digital tool .

Q: Solve for T.  I got as far as T = exp(13.75-(12337/T))

A: It is given that T=e13.75-12337T. The objective is to solve for T.

Q: sin mx = m sin x 1+m 1-m 3 2 2 2 sin x

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Q: Give an example of each of the following or prove that such a request is impossible. a) open set A…

A: Given : (a) open set A that cannot be represented as union of two open sets.b) a set that is not…

Q: If the entries of a 3 by 3 matrix are chosen randomly between O and 1, what are the most likely…

A: Let A be m×n matrix then four fundamental subspaces are as follows. The column space CA and the row…

Q: II. Find the first derivative of the following functions 1) S(x) = [√² + (x¹+4)*]* 10

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Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

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Q: Find the general solution of the given differential equation. y' = 4y + x² + 7 y(x) =y= 8 + Ce 4x…

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Q: 1. Find the equation of the tangent line to the graph of the function implicitly defined by the…

A: The given equation is: x=tany. We have to find the equation of the tangent line for the given…

Q: 13) Use the Gaussian-Elimination and Back Substitution Method to solve the following matrix [1 2 1…

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Q: How many ways are there to select two subsets A and B of {1,2,..., n} such that A and B are {\em…

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Q: 1 3 Let A = (1, -2, 4) and B be a nonzero vector parallel to (0,2¹-2) such that AB = 14. a. Find the…

A: We will use projection formula  Projection of  a→ on b→=a→.b→a→

Q: Solve the following equations. 3 2x² - 6x = 5x² - 9 b) 4x 8x³ - 9x² + 18x = 0

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Q: Consider the surface S₂ with equation (x-1)² y² 4 9 3 a) Find an equation of the trace of S₂ on the…

A: Quadric surface: A graph in the three dimensional space of an equation in the three variables x, y…

Q: Solve the given differential equation by separation of variables. dp dt -4x = P - p²

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Find the volume of the solid that lies with thosphere X²+ y²7X²³² +2²=36 and outside the the xy…

A: The given problem is to find the volume of the solid that lies inside the sphere x2+y2+z2=36 and…

Q: The vectors v₁ = - 12 32 Write 4 -[-2]-~--[-]-~-[-2] V3 = 10 32 as a linear combination of V₁, V₂,…

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Q: ₂ F₁ (a, b; c; x) = r(c) r(b)(c - b) ---- ( - xe di

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Q: Let sn be a bounded sequence, and let tn converge to L. i. Show that if L = 0, then the product sn ⋅…

A: Given that sequence sn is bounded sequence and sequence tn converges to L. We know the definition of…

Q: Consider the vector field Cos y y² x - sin y 2√x xsin y' 1+z² Show that G is conservative by finding…

A: If curl of a vector field is zero vector then vector field is conservative and there exist a scalar…

Q: Using the concept of the Bernoulli's Equation, find a particular solution of the differential…

A: Given That : Differential equation y2+6x2dy-4xydy=0. To Find : Using Bernoulli's equation calculate…

Q: Consider the surface S₁ with equation 2² - 4 = 2z. a) Sketch the graph of S₁ in R³. Indicate proper…

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Q: Show that the vector field sin 2y x² Ĥ(x, y) = (y) = (₂ Y x² + 1 is conservative by finding all its…

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Q: Estimate the percentage change in the function f(x) = x² + 2x - 1 as x increases from 1 to 1.25.…

A: We know : ∆f≈ f'(x)*∆x Here f(x)=x²+2x-1 And so f'(x)=2x+2. Also ∆x= 1.25-1=0.25 Thus,the eqn will…

Q: Let f EBV (Co,1]). Define F(x) = { ["f(t) dt, x € (0,1], St Lo, x = 0. Show that F E BV([0.1).

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