(Inégante de Cauchy - Schwartz) Determine 2, ER ³. 3 it | 20₁² | ≤ || || |||| for every..

Q: 1. Find real-valued fundamental solutions of the differential equation x' = Ax, where matrix A has…

A: Given  system of differential equations is ,                        x'=Ax where the matrix  A has…

Q: Let A € Rmxn, B € Rmxp be any matrix. Solve the following problem _min_ ||AX – B||2/17. XERnxp Hint:…

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Q: fin dy / dx L.n (x+1) Ln 3√x

A: Derivative  Advance maths

Q: Discrete Math

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Q: Evaluate the difference quotient for the given function. Simplify your answer. f(x) = 3 + 5x - x²,…

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Q: Let S be the surface in R³ that lies on and above the triangle in the xy-plane with corners (0, 0),…

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Q: Darrell Frye is planning to buy an office building at a cost of $982,000. He must pay 10% down and…

A: a) The amount being financed is 90% of the cost of the office building, which is:   $982,000 x 0.90…

Q: The Statue of Liberty is 305 feet tall and creates a shadow that is 224 feet long at a specific time…

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Q: (i) Re (z8i) = 2. (ii) |z −1+ i| = |2|. (iii) |z + i ≤ 3. Sketch the set of points determined by the…

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. t, t3…

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Q: 1) Show that in any positioning of 17 rooks on an 8-by-8 chessboard, there must be at least three…

A: 1. To prove that in any positioning of 17 rooks on an 8-by-8 chessboard, there must be at least…

Q: If the nth partial sum of a series an is n = 1 find an a1 and an n = 1 an Sn Σan n = 1 = = n - 3 n +…

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Q: Answer: dy dx || 6 + 2x = = sin(xy²)

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Q: Let R be a commutative ring with unity. Suppose that the only idealsof R are {0} and R. Show that R…

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Q: - Discretize the differential equation y" — 10ty' – 8(t − ( ? )) y = $(t − (§})), _y'(0) = −2, y'(2)…

A: To discretize the given differential equation, we will use the finite difference method. We will…

Q: All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a…

A: To find the integer zeros of the polynomial P(x)=x4-2x3-48x2+98x-49,we can use the Rational Root…

Q: Consider the following initial value problem: y" + 6y' + 8y = 8(t — 5) + u₁0(t); y(0) = 0, y'(0) a)…

A: 1) L[ua(t)]=e-ass2)L[δ(t-a)=e-as3)L[a.f(t)+b.g(t)-ch(t)]=aL[f(t)]+bL[g(t)-cL[h(t)], linear…

Q: Let y(t) be the solution of the following IVP with piecewise-defined right-hand side: y" - 2y + 5y =…

A: We start by taking the Laplace transform of both sides of the differential equation: L{y"-2y'+5y} =…

Q: Estimate the area under the graph of f(z)-cos(z)t (a) et endpoints ANSWER (b) right endpoints ANSWER…

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Q: Use  ε- δ to prove

A: To show that lim (x,y) (3,4) f(x, y) = 3/26, we need to prove that for any ε > 0, there exists a…

Q: Is {[o], [b], [c], [bc]} on abstract simplicial complexe? to ratrer utraler ett ***jte + sta A ³² ts…

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Q: Find the state transition matrix of * (t) = [ * Jx(1) -sin/ 0 0 <-COS/

A: It is given that a matrix x(t).=-sint00-costx(t). Objective is to find it's state transition matrix.

Q: A record club has found that the marginal profit, P'(x), in cents, is given by P'(x) = -0.0008x³…

A: P'x=-0.0008x3+0.36x2+34.9x for x≤400 We have to calculate ∑i=16P'xi∆x where ∆x=40 and the interval…

Q: Plot the two curves defined by -x y² + 4x = 5 x³ +y³ = 1 and find the number of intersections of…

A: here red curve is    ( -xy^2+4x=5  )      blue curve      (x^3+y^3=0)

Q: Determine whether each series is absolutely convergent, conditionally convergent, or divergent. n=1…

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Q: Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give…

A: Let fx be a function defined on a,b. Then the hypotheses of Mean Value Theorem are: fx must be…

Q: 9 vertices (0, 0), (,0) and (l, l). (a) Evaluate the integral 3. Let be Let C be the triangle with…

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Q: Turn in: 12.1 21 and 22 and the following: Consider the two vectors u = (2, 4) and 7 = (5, 1) shown…

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Q: (c) Show that solutions f to the equation f(x) = (Tf)(x) satisfy the ordinary differential equation…

A: It is clearly given that f(x)=(Tf)(x). ∴f(x)=sin(x)+λ∫0x(x-t2)f(t)dt. Now let us differentiate both…

Q: R: srs.s ses (Type exact answers, using à as needed.)

A: This is the upper half part of an annular region formed by two circles of radius 3 and 4.

Q: 8.2.2. Let X have a pdf of the form f(x; 0) = 1/0, 0 1. Find the power function (0), 0 <0, of the…

A: X have Pdf of the form: f(x,θ)=1θ,   0&lt;x&lt;θ, zero everywhere. order of statistics,…

Q: 2) (05) 0 (^{) -A $ 1 As 2

A: Let  x∈∩S∈S1S ∪∩ sS∈S2.Then, x∈∩S∈S1S and  x∈∩S∈S2S.   ⇒x∈S  for  each  S∈S1    and  x∈S  for  each…

Q: Let f(u, v) = (tan(u - 1) - ev, u²-v²) and g(x, y) = (ex-y,x-y). Use the Chain Rule to find…

A: Given functions: fu,v=tanu-1-ev,u2-v2gx,y=ex-y,x-y To find: Df∘g1,1 Concept used: If the functional…

Q: o(u, v) = (sin 2u cos v, sin 2u sin v, sin² u sin 2v) over all (u, v). To make o injective, and to…

A: To show that sigma | U is a regular surface patch, we need to show that:   sigma is a differentiable…

Q: 8.2.1. Let X have the pmf f(x; 0) = 0 (1 - 0) ¹-2, x = 0, 1, zero elsewhere. We test the simple…

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Q: Find all critical values for the function and then list them (separated by commas) in the box below.…

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Q: Suppose that f(x, y) = 6, and D = {(z,y) | 2²³ + y² ≤ 1}. Then the double integral of f(x, y) over…

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Q: se Geogegra or your favorite software to graph the surface x³ - 3x + y² + 2y2. Then use s to find…

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Q: Gcs) = 263s +2308 S³+ 325² + 5535 + 4102 3

A: The Laplace transform is a mathematical operation that transforms a function of time f(t) into a…

Q: In R, let R be the reflection about the plane which is perpendicular to the vector n=(-4,7,1) Find…

A: A point vector is given.

Q: (§3.3e Exercise 4) If z = f(x, y) and § = y(x, y), n = y(x, y), show that det (32) det (3) and…

A: Jacobi's formula is a set of formulas used in multivariable calculus to calculate partial…

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

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Q: Solve the given integral equation or integro-differential equation for y(t). t -of-w 0 y'(t)-8 y(t)…

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Q: 4) (AS) V (AST) = AAS, VS₂ SEA, S₂ € ₂

A: The given equation is  ∩s∈S1S∪∩s∈S2S=∩s2∈S2∩s1∈S1S1∪S2=∩s2∈S2S2∪∩s1∈S1S1 To prove the equality. The…

Q: 1. Find the first five nonzero terms of the taylor series solution, centered at 0, for the initial…

A: Here, the given initial value problem is  y''=y2+ey ; y0=1 , y'0=2. To Find: The First five nonzero…

Q: 2. Use the Frobenius series to find the solution of in some interval 0 < x < d. 1²y" +1(2+1)y - 2y =…

A: Given the DE is x2y''+x2+xy'-2y=0. Find the solutions of the DE using the Frobenius series. The…

Q: Point W is located on the coordinate grid (-2(3)/(4),5(1)/(6)). In which quadrant is point W

A: Point W is located on the coordinate grid -234, 516 We know in first quadrant x and y values are…

Q: A Moving to the next question prevents changes to this answer. uestion 3 If T: P→ P, is a linear…

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Q: The marginal cost of producing the xth box of DVDs is 13 + X² 140,000 and the fixed cost is…

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Q: Apply the definition of the Laplace transform to find the transform of the function below. Q 10- -10…

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