Evaluate the following integral sin y dyde.

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Q: 14. Let (a, b) = 1 and x" = yb for some integers a and y. Then prove that there exists an integer n…

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Q: You are considering two job offers: Job 1 is a full-time position that pays $58,000 annually and Job…

A: We will use the basic knowledge of arithmetic to answer this question completely and correctly.

Q: be eigenvectors of the matrix A which corespond to the eigenvalues A, -1. A = 1, and dy= 2,…

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Q: Assume  you have secured a loan of $10,000 from a bank  which will be paid in one year. The fin bank…

A: Given loan amount = $ 10000 Annual interest rate = 3.67% To determine the opening balance for the…

Q: discrete math a jar has 12 red , 7 green and 5 blue marbles. Find n (draw 4,2 Red), n (draw 4, 3…

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Q: 30) Find all poin ts (if eny) at honzendal and Verticel fongancy :::: to tul unne Anyw ans: a)…

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Q: 4. Show that the norm on (° given by I| (21, ..., In...) |lo= sup{|7;| : j =1,2, ...} %3D can not be…

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Q: Solve the system +x2 +3x3 1 | 3x1 +2x2 -3x3 3 x2 +s 3.

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Q: 1 L(5x)sin dx dx+ J, (5x – 15)sin| 1.5 1.5 1.5

A: We will use integration by parts here  ∫u.v dx=u∫v dx -∫dudx∫v dxdx

Q: Ikea restaurant has four stations: salads, main courses, desserts, and beverages. The available…

A: Introduction: A predicate is an expression of one or more domain-specific variables. A variable…

Q: s function h(x), we have

A: Repeated

Q: Prove that the necessary conditionm for integrability of the total dif j equation X · dr = Pdx + Qdy…

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Q: If the motion of a particle whose position at time t is given by z = f(t). y = g(t), sketch a graph…

A: To determine the slope and direction of particle at given points.

Q: a) Test the series E7-1)" for n =1 convergence or divergence (show all your works) b) Test the…

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Q: Grinsen banmutation (92 3) 965)(1 487) O Expruss as a puoduct of diejoint cycles O what or der of…

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Q: Find T, N and k for the spacecurves:

A: We have to find Unit Tangent Vector T,  Unit Normal Vector N and Curvature K for given space curve…

Q: 2. Susan decides to open a math tutoring center. She found a nice office that she can lease for $400…

A: Given, She pays 400 dollars for office per month and charge 25 dollar per hour for her tutoring…

Q: Find the eigenvalues A1 < A2 and associated orthonormal eigenvectors of the symmetric matrix [3 0 1…

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Q: Show that r =1+i, x2 = 1- i is a solution of (3+ i)x1 + (1+ i)x2 = 4 + 4i

A: The solution is given as

Q: the or ఒలిమ్ అనాయు 4n n!

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Q: 2222 (mod 13) is equal to O 1 (mod 13) O 12 (mod 13) O 2 (mod 13) None of the mentioned O 6 (mod 13)

A: Properties of modulo function  a≡b(mod n ) then an≡ bn(mod n) a≡b(mod n ) then ac≡ bc(mod n)…

Q: Question 9. K are subgroups of S3. Show that HUK is not a subgroup of S3. It follows that a union of…

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Q: Find the mistake in the following “proof": "Statement". If fn : X → Y is a sequence of functions…

A: Given: Let us consider the given, ∈&gt;0 and uniform convergence, and determine N∈ℕ.

Q: For the following task, find feasible set, optimal value, optimal solution: min xỉ + x3 s.t. (x1 –…

A: We will use the basic knowledge of optimization theory to answer this question completely and…

Q: b) Determine whether the series (-1)"n/n is n² + 3 n=1 convergent, absolutely convergent or…

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Q: Determine the signs (positive, negative, or zero) of y = f(x) (shown in the graph) and f'æ) and…

A: Let us determine the graph.

Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx %3D

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Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A n (A)° = Ā – int A…

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

Q: Problem 1. Let (X, dx), (Y, dy) be metric spaces, and equip R with its usual absolute value-metric.…

A: Given: Let us consider the given,X,dX,Y,dY a) Let us determine the sequence of functions fn:ℝ→ℝ b)…

Q: 17. Find the truth value of [(PV¬Q) → R]^[¬(SVR) → P], given P and Q are false and R and S are true.

A: The truth table for p∨q can be made as follows. p q p∨q T T T T F T F T T F F F   The…

Q: Study the patterns of numbers in each row of the table below. Each row relates to one of the figures…

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Q: Use Green's Theorem to evaluate f, F •dr. (Check the orientation of the curve before applying the…

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Q: Let -4 -1 7 -11 3 -1 A 13 -1 1 -3 13 -1 1 -3 Find orthonormal bases of the kernel and image of A.…

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Q: Find the direction in which f(x,y) = x²e-2y increases and decreases most rapidly at Po(1,0) and find…

A: Consider the given function, fx,y=x2e-2y Here we need to find the direction in which the function…

Q: The following data is the forward-bias characteristics of a silicon diode. Fit the data with linear,…

A: We will use the basic knowledge of linear and cubic curve fitting to answer this question completely…

Q: Design the network represents the following activities, and then find the critical path. Activity…

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Q: On their anniversary, Luna received a box containing x violet flowers. The number of these when it…

A: We have to find the system representation for the given scenario.

Q: 2. When object P, with mass m, , moves at v, and object Q, with mass m,, moves at v,, the velocity…

A: Given,For P, mass = m1  and velocity = v1Let, velocity after collision is u1For Q,mass = m2 and…

Q: s a. Show the transformations required to turn the following sequence into Tn = 0,1,3, 6, 10, 15,…

A: A sequence is a collection of numbers (or other items such as geometric objects) that follow a…

Q: On their anniversary, Luna received a box containing x violet flowers. The number of these flowers…

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Q: The eqmivalance cluss f the element o is denuled by [o] , Thuy bý defination. %3D - {zez |…

A: We have to explain the steps.

Q: Simplify: (3 – 4i) (6 + 2i).

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Q: Crop Circles Project Square Inscribed in a Circle Complete the construction and the list of…

A: We will use the basic knowledge of geometry to fill in the three blanks in the final two steps.

Q: Octal numbers are made using the eight digits 0,1,2,3,4,5,6,7. How many octal numbers are 4 digits…

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Q: A curve with polar equation 32 3 sin 8 + 13 cos e represents a line. This line has a Cartesian…

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Q: 4. State and intuitively explain the Squeeze/Sandwich theorem. Let f(x), g(x), h(x) be functions…

A: Given: The functions fx, gx and hx such that fx≤2, hx=gxfx and limx→0gx=0.   To state and…

Q: Find a general solution to the given Cauchy-Euler equation for t> 0. dy +31- 63y 0 dt dr?

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Q: Find a general solution to the given differential equation. y" +4y'-45y 0 A general solution is y(t)…

A: The general solution to the differential equation