State the following for the given equation in space below: a) Vertex b) a value c) direction of opening

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Q: You have just sold your house for $1,100,000 in cash. Your mortgage was originally a​ 30-year…

A: Given: n = 360 FV = 0 PV = 750,000 rate = 5.25%/12 = 0.4375%

Q: Let G = { a+bi ∈ ℂ : a and b are rational numbers, not both zero } . Prove that G with the operation…

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Q: Sets and Events 1.4.1 As an easy exercise, check that you believe that lim [0, 1- 1/n] = [0, 1) n-00…

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Q: 2. Given U = 7i – j+ k and W = -2î – 5j + 6k, compute a) Proj w V and b) Proj v W

A: To find  The projection of given vectors.

Q: Question A1 Consider a vector field F= 2x° yị +x'j., and a curve C defined by the equation y = 2x².…

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Q: PROBLEM 12.1 The potential energy of a simply supported beam of length I sustaining a load at the…

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Q: Let M1 F → F be a transformation defined by M1(f) mation? Justify your answer. (1² + 1)ƒ(t). %3D

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Q: x if 0<x <1 Find the Fourier series expansion of f(x) = if 1<x< 2 of period p = 2.

A: The given problem is to find the Fourier series expansion of the given periodic function. Given…

Q: 5. Compute sin a e + 3e¬z

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Q: Q1) Find (optimum solution) that maximum the sum 5X1 + 7X2 subject to the constraints below using:…

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Q: For the following boundary value problem, use the collocation method to determine a solution of the…

A: Collocation method is used to find the numerical solution of the ordinary differential equation.…

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Q: For certain decisions, the time it takes to respond is a logarithmic function of the number of…

A: (b) The relation between number of choices N and the reaction time R in seconds is given as follows:…

Q: a 1.F.5 To any vector v = in R³ we can associate a polynomial p.(x) = ax² + bx + c in P<2. There is…

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Q: f(t) = t? cos 6t 2s(108-s?) А. (s2 -36)3 2s(s? -108) C. (s2-36)3 2s(108-s2) В. (s2+36)3 2s(s?-108)…

A: Given function f(t)=t2cos6t. We have to find the Laplace Transform. Formula will use 1.…

Q: Determine the value of the following mathematical expression, where u=3 and v=6. each) 4v a. w = Зи…

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Q: 7. + 1. Consider the line Find the equation of the line that is parallel to this line and passes…

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Q: Jamal is creating a 5 digit passcode using the digits 0 through 9. How many 5 digit passcodes are…

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Q: f(t) = t² cos 6t 2s(108-s2) 2s(s²-108) А. (s2-36)3 C. (s2-36)3 2s(108-s?) В. (s2+36)3 2s(s?-108) D.…

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Q: Define a complex matrix B to be skew-Hermitian if Bh = −B. Show that if B is a complex matrix that…

A: We are given that  B is a skew-harmattan matrix . And basically we have to show that 'every…

Q: Suppose 8 people are in a race. What is the probability that Billy and Michael place 1st and 2nd…

A: The formula for the probability of an event E is P(E)=n(E)n(S), where n(E) is the number of outcomes…

Q: a) If a| (21b−c) and 6c≅3b(mod2a), then a| 41c b) If a≅b(modc) and d|c then ?≅?(mod?) c) ∴(d|…

A: this is a question of modular arithmatic.

Q: The coefficient of Sln(X) in the antiderivative of (x)=| coS is Blank 1 (use fraction form not…

A: Solution

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A: Given:A taxi company has four available taxis (A, B, C, and D) and four calls for taxi service (W,…

Q: Solve the following integral equation using Laplace transformation y(t) = 1+ cos(t – u)y(u)du

A: We have to apply the Laplace transform to solve the given problem.

Q: 5. (Ci | Show that L{e"t"} = n! in two ways: (s- a)n+1 (a) Use the translation property for F(s).…

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Q: f(x) 2 4 8. 10 12 14 CO

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Q: 2. Find lagrange's Inerpolating polynomial of degree 2 approximating the function y = In x defined…

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Q: Show that in the factor ring Z[i] / , the element x + is a unit.

A: Given a factor ring Zx2x+1=a0+a1x,+⋯+2x+1 |a1∈Z  As 2x+1+2x+1=0+2x+1 Since,  2x+1∈2x+1   as aH=H iff…

Q: ) (4,0) ) (이14) ) (4,시) S. x* dy - 2y dx whare L is 2° J. circle arc x+y% =1, x >O X 70

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Q: Question 3. In parts (a) - (c), prove that for all n ɛ N: (a) n-1 £(:)-I- n k k=1 k=0 (b) £(:)-- n =…

A: Here we will use binomial series expansion  a+xn=n0an+n1an-1x+n2an-2x2+......+nn-1axn-1+nnxn…

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Q: Define the sequence {b,, } as follows: bo = 4 b, = b,-1 + 2n + 3 for n > 1 Use induction to prove…

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Q: Eva receives utility from consuming burgers (X, the good on the horizontal axis) and orange juice…

A: The complete solution is in given below

Q: Show that any compact set in R is closed and bounded.

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Q: 1. Prove that an algebraically closed field is infinite.

A: A field F is said to be algebraically closed if each non-constant polynomial in F[x] has a root in…

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Q: . Find a particular solution to the inhomogeneous equation y" – 9y/ + 8y = e* in the form y(r) = c-…

A: To find A particular solution to the inhomogeneous equation in the form y(x) =Ce^(2x)

Q: (a) Do u1 and u2 form a basis of R³? Justify your answer. (b) Do u1, u2 and u3 form a basis of R°?…

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Q: 19. Determine the line integralof the differential form (x + 3y²)dx – (-6xy + z)dy from points…

A: Linear integral of Differential form

Q: Find the Fourier transform of f(x) = sin x. In what sense does the Fourier transform exist?

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Q: Express 7 (cos 300° – i sin 30°) in polar form.

A: convert in polar form

Q: Question B1 a. Calculate the line integral [F•dr. where F = 3x²y²i + 2x°yj for the curve C. Here C…

A: We need to find line integral of vector field  line integral of vector field F→ along a curve C…

Q: S (z+1) (r +2)) da =? 를+ 클 +c where cis an unknown constant. o+ (z7 +) (-+) where cis an unknown…

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Q: 0くt 27. Express the answer using the symbols of unit step functions. (b) Express the answer obtained…

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Q: ; ロ Example 1.2.1 Here are two simple examples of set equality on the real line for you to verify.…

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Q: Define a sequence {E;} where En = r -,r| where n is positive integer. Find P({r}) for any r E [0,1]

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Q: 5- Graph the following function( Y=-1/4 log ,(3x-6)+1

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Q: 10 s (22(2² +5)") dz =? 12z(2 + 5)° +c (+5) 4 (22+5) +c (2+5)*

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