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Q: What is the present value?

A: We have to find the present value.

Q: Consider the subspace U = span{ 8 4 -16 of R. Create a basis 3 -3 {z° for U.

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Q: 5. Are the statements P→ ¬Q AR and ¬P v (¬Q ^ R) logically equivalent? Explain why.

A: 5. P -> ~Q ^ R logically implies          If P occurs, then ~Q ^ R occurs as well.      ~P v (~Q…

Q: dx dy 2 x ex y2 + xy+y

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Q: Find the solution. ху'+ ху - 1- у. у(1) %3D0

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Q: 1. Which of the following is intuitively defined when graphed over an interval is sketched without…

A: 1. B 2. A 3. A 4. C 5. C

Q: - 24" LENGTH 10.5" WIDTH 27.5" LENGTH (DEPTH) 32" HEIGHT 35" HEIGHT

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Q: The value of 2 $ (d) dn for n = 18 16 17 19 18

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Q: re cube roots of unity, tl w?) is

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Q: The solution of Laplace's equation Urx + Uyy 0 < x < 3, 0 < y < 4, subject to the boundary…

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Q: The base of a tissue box has an area of 72in. If the volume of the tissue box is 504in, what is the…

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Q: 22 Arrange the figures in increasing order of their volumes. Use *=7. 7 cmi 5 cm 15 cm 4 cm 3.5 cm…

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Q: 5(- 1.8) is an alternating geometric series, which O divergesO converges. k 0 E5(- 1.8)*: | k=0…

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Q: Sx, 0< x < 1l 1< ¢ < 2[* Let f(x) . At ¤ = 39, the Fourier sine series of f 3, 0, 2] converges to on…

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Q: (b) g(x):= 1/x for x E R, x#0, (d) k(x):= 1//x for x > 0.

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Q: The general solution of xy" + xy' + (5x² – 49)y = 0 for æ > 0 is y = 2 O a) C1J5(7x) + c2J_y5(7x) b)…

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Q: а. х %3 (3, —4,0, у b. х %3D (2, 1, —3, 4y c. x = (sen k, cos k, 24y para un entero positivo fijok

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Q: ) Consider the set G = {1,5,7,11,13,17} under multiplication modulo 18 as a group. Construct the…

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Q: A linear transformation T satisfies the following: 26 28 -18 4 3 -29 -50 -25 T|2 T and T 18 66 3 12…

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Q: Is this statement true or false? Explain your ansmer thoroughly with examples: If X, Y, and Z…

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Q: 2. Determine if the series is absolutely convergent, conditionally convergent, or divergent. cos(nT)…

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Q: Let E be the region bounded above by z² + y² + z² = 10² , within z² + y² = 8² , below by the r®…

A: Given that  E is the region bounded above by x2+y2+z2=102,    (1) within x2+y2=82,…

Q: Find general solution y = Yc + Yp of y(3) + y" 3e" + 4x2

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Q: sts $258 per year. Approximately one-third of insure check-up each year, and the average cost of…

A: Introduction: The expected value (EV) of an investment is the expected average value at some point…

Q: The differential equation 2y" – 4y' + x²y+2dxy= 0,when placed in the Sturm-Liouville form p(x)y']' -…

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Q: ION - INSTANT RUNOFF. The animals get sick and tired of having the Lion be the nd they overthrow the…

A: Here majority is on or above 34 votes. No one has the majority. So we must eliminate the candidate…

Q: 2. Determine whether the matrix transformation TA R R is an isomorphism. 1 -1 A = 1

A: We use the definition of isomorphism of linear transformation as in next step.

Q: upermarket employee wants to construct an open-top box from a  24 by 36 inch piece of cardboard. To…

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: Towed $3000 from his brother Dave. He agreed to repay the money at the end of 2 year the money had…

A: In this question, the concept of compound interest is applied. Compound Interest Compound interest…

Q: Exercisel (а): What do you mean by Linear Programming Problem? Write the general form of an LPP.…

A: (a) We have to define the Linear programming problem,

Q: find the lourent's series for function f(z)= ((z^2)-3z+2)^(-1) 0</z-1|<1

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Q: Consider a nonhomogeneous differential equation y" + 4y = -12x + 10e-x. (a) Verify that Yp = -3x +…

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Q: The capacitance C of a capacitor is defined as the ratio of its charge q (in C, coulomb) to the…

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Q: Find the curvature of r(t)=[e*,e2",e 3t] at t=0.

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Q: Prove that ] + ] = n.

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Q: Ans: Find the remainder (smallest nonnegative integer) when 1015!-1010! is divided by 1013-

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Q: anction, k , with degree three and has roots – 2).

A: In this question, the concept of the polynomial is applied. Polynomial The term "polynomial" refers…

Q: Find the solution. dy 2y dx A y = x2(x-c) -2 y = x³(x+c)3 y = x²(x+c)2 D y = x(x+c)

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Q: luate the following definite integral 2 dx J V3 – x + Vx

A: In this question, the concept of integration is applied. Integration Integration is a method of…

Q: Find the solution. y'+ ty = ty3 y = (1+ce*) A 2 B y = (1+ce') 2 y-2 = (1- ce") C 2

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Q: .3 x³ +5 dx * Consider

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Q: Use the simple interest formula to determine the missing value. p= ?, r= 4%, t= 3 months, i = $16 p=…

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Q: (D² -2D-3)y = 0: when x = 0. y = 0. y= 4 A y=e+e By=e- y = -e- -2 Dy=e-3-et y = e

A: The given differential equation  D2-2D-3y=0 is a homogeneous linear differential equation with…

Q: 1 2 3 2 8 32 128

A: In this equation, the concept of Exponential Function is applied. Exponential Function Exponents are…

Q: t2 In³ (t) dt 3 G =

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Q: O Find volume bounded by above Z=4-x-y below Z= x4 yz

A: Given curve is z=4−x2−y2 and z=x2+y2. We have to find the volume bounded by the above z=4−x2−y2 and…

Q: Suppose that f : A → B is a function, viewed as a relation (set of ordered pairs). Let f* denote the…

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Q: 2. 25)405

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