tor los ( 121 ) –

Q: 3. We have the following function == -2r² - 4x - + 4y + 4xy (a) Find the stationary point (b)…

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Q: Consider the differential equation y' - y²x5-16.x". (a) Determine for which n the equation is…

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Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

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Q: 3. Let y be the path in R³ parametrized as x(t) = (cos 2t, sint, sin 2t) for t = [0, 2π]. Let A be…

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Q: You own an investment which has an arithmetic mean return of 30% and a standard deviation of 15%.…

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Q: The population of a country was 5.372 million in 1990. The approximate growth rate of the country's…

A: Here, ft=0.09486952e0.01766t and F0=5.372 million. To Find: (a) Function of Ft. (b) To estimate the…

Q: Consider the discrete-time process S,, defined as Sn-1 + Sn 2 Sn-Sn-1+H At+oS-1√AtEn, n = 1,..., N,…

A: We can rewrite the recursion for Sn as Sn=Sn-1+μSn-1+Sn2Δt+σSn-1Δtξn which is equivalent to…

Q: (10,14) (10,14) Show that (68) fdx + gdy = f(68) – (35x¹y¹dx + 28y³x³dy) is independent of path: 11…

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Q: Find the optimal solution (by your hand) to the following problem using KKT conditions: logo + log ₁…

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Q: It is known that a real matrix A has eigenvalues A₁ = 2 and A₂ = 1 + 2i with corresponding…

A: As per the question we are given two eigenvalues and corresponding eigenvectors of a real matrix A…

Q: Evaluate the integral by means of the Cauchy residue theorem. § |2|=3 e² z(z-2)³ -dz

A: If C is a simple closed, positively oriented contour in the complex plane and  is analytic except…

Q: Prove that if n² is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues modulo…

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Q: using simulatio to estimate the profit per unit for a new product. The selling price for the product…

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Q: end 1800 pounds. After a month, the friend gave Daniel 1/3 of the amount back, and at the end of the…

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Q: 2xyzx − xzy - 2yz = 2x²y cos(x + y²)

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Q: E Consider the function f(x) = [1,1]. Construct the interpolation polynomial which interpolates the…

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Q: From the list below, select all TRUE statements. (But do not select any false statements!) Of 1 an…

A: (1)  True:   As per definition of absolute convergent of a series  if  ∑an converges then ∑an also…

Q: The figure shows the graph of y = ax²+bx+c. Suppose that the points (-h.yo). (0.0₁), and (h.y2) are…

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Q: 2. Students come randomly and independently at the cashier's window at the rate of 30 students per…

A: Since you have posted a question with multiple subparts, we will solve the first 3 sub-parts for…

Q: Solve the following PDE: a² y(x,t) 1 əy(x,t) əx² a² Ət : 0, 0 <a, With the boundary conditions y(−L,…

A: Solve by separation of variables:

Q: A swimming pool has the shape of a box with a base that measures 30 m by 15 m and a uniform dopth of…

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Q: The solution to the problem is (x, y, z) = min f(x, y, z) => 00 z) = x² + y² +z_s.t. - 1 -0.5 0.5…

A: If g(x, y, z), h(x, y, z) are two constraints, then sing Lagrange's multiplier it can be written…

Q: Find real numbers a,b,c,d such that And then find f'(z) =? f(x) = x² + axy + by² +1(cz² + day + y²).

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Q: Kara, Incorporated, imposes a payback cutoff of three years for its international investment…

A: Given: Year Cash flowA Cash flowB 0 -$61,000 -$71,000 1 $23,500 $15,500 2 $29,000 $18,500…

Q: 2y" - 5y' + 3y = 14te²¹

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Q: For the real-valued functions f(x)=x²-1 and g(x)=√√x-2, find the composition fog and specify its…

A: Solution:Given: we have to find the composition and specify the domain using interval notation

Q: The general solution of the PDE is given by for any function f. 2u, + 3u, + 2u = 0 u(s, t) =…

A: Answer is 0 for justification step 2

Q: Consider the curb shown in (Figure 1). Suppose that 1=9 m, a= 200 mm, b= 80 mm

A: 1 m=100cm  And 1m=1000mm

Q: If you want to be 95% confident of estimating the population mean to within a sampling error of 13…

A: It is given that confidence level is 0.95, the population standard deviation is 13 and the margin of…

Q: As =→ 3-4 4 Helo M instoirto

A: To find the coordinates

Q: a certain type of light, the number of hours a bulb will burn before requiring replacement has a…

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Q: Suppose that the function g is defined, for all real numbers, as follows. -2 if x1 g(x)= 0 Graph the…

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Q: use laplace transgorm to solve f(t) = 3t^(5/2) + 4t^3

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Q: b D d 1. Explain briefly why H(ab, cd) and H(SQ, TD). = 2. Let U AT OPD. Prove that C, Q, U, are…

A: To explain why H(ab,cd) and H(SQ,TD), we need to understand the concepts of harmonic conjugates and…

Q: 4. The DE y + 3y + 2y = has complementary solutions y, =ce +çe*. W₁ _W2₂ Using y=ue +ue, we obtain u…

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