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Q: nºx, 0<x<1/n fm (x)= { --n²x+2n, 1/n<x<2/n ( 0, 2 n<x<1 uniformly convergent on [0, 1}?

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Q: QUESTION 1 (a) Obtain the general solution of the equation = 2xy. (3 Marks) (b) Find the solution of...

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Q: Determine whether the relation R on the set of all integers is reflexive, symmetric, antisymmetric a...

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Q: 7) (2+i)? (-5-14 i)

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Q: Given the following matrices 4 -12 2 B = 1 -3 A = -4 -1 -3 (a) Multiply matrices A and B, to get AB....

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Q: 3. Solve the following linear programming problem graphically: Minimize Z = 2x+3y subject to the con...

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Q: Find the inverse of the given matrix using adjoint method and check your answer by performing the id...

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Q: A. Evaluate the following integrals. 1. S(x² – 2)² dx Sx (x² – 2)14 dx dx Vx+3 2. 3.

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Q: Find the solution of the linear system using the Gauss Elimination Method with the augmented matrix ...

A: We have ,  2x + y + z  = 2y + z + w   =  2x + y - z    =  0x + 2z - w =  1 Consider augumented matri...

Q: A Bernoulli differential equation is one of the form dy + P(x)y = Q(x)y". dx Observe that, if n = 0 ...

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Q: if fo=x+1 2g Cx) = X Find:- O Derg 3 D.

A: Given that fx=x+1, gx=x We know that Df=domf denotes the domain of the function f

Q: Use Simpson's Rule e with n=10 Y: X Sin (x), OSXS 27

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Q: Determine the volume of the solid W limited above by the cone z in the figure and below by the parab...

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Q: Find the following vectors between two points: a. Vector directed from C to D. Label it as: RcD = Rx...

A: We are given  D(5,π,-12) in CCS⇒D(-5,0,-12) in rectangular coordinates. x=ρ cos θy=ρ sin θz=zρ=5 and...

Q: A - B C- D ---- ... : BVC nswers: A = C = D = {[J (K → L)] ^ [K → (¬L → M)] ^ [L V M) → N]} → N)

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Q: 15) T-mobile is charging an activation fee of $50 and $65 per month. Write linear equation for the c...

A: Graphically, the linear function representing the relationship between an independent variable let's...

Q: The measurements x1 - 10m, x2 - 8m, and x3 - 6m represent the sides of a rectangular parallelepiped ...

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Q: Obtain the derivative of the following functions: (2x²–1)* 8. y = (5-3х)4

A: Given y=2x3-155-3x4 the given function is of the form fg therefore derivative will be y'=gf'-fg'g2 t...

Q: Find the radius of convergen

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Q: In (1- 2t cosx + t2)dx 0, |

A: The definite integral is when we put limits in the indefinite integral. It is expressed as ∫abfxdx. ...

Q: 5) (3-6)/6+76)

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Q: P) P pV q + q V p (p^q) ^r + p ^ (q^r)

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Q: 8. Determine the algebraic representation of the following piecewise function. 4 3

A: Solution: Now it is known that the equation of parabola is given by y=ax-h2+k Where, h is the horizo...

Q: Determine the Laplace Transform of cos*t

A: cos3t≡(cost)(cos2 t) cos3t=cos(1−sin2 t) cos3t=cost⋅1/2(1+cos2t) cost⋅1/2(1+cos2t)=12(cost+costcos2t...

Q: 4. If a sequence {an} is both bounded from above and bounded from below, then {an} is convergent. (C...

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Q: Solve the Laplace transform of: 4 sinh 3t + 3 cosh 3t

A: Introduction: The Laplace transformation of sinh(at) and cosh(at) is given by, ℒ(sinh(at))=as2-a2ℒ(c...

Q: Direction: Identify the equation of a circle given its center and radius. Write it in standard form....

A: Given center of the circle C(0, 0) and radius r=1.5

Q: Į y² +5 ify< -2 13- 3y ify2-2 4. lim g(y) where, . %3D 2

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Q: If M is the midpoint of PQ, determine the coordinates of Q. M (1,6), P (-2,5)

A: Given that M is the midpoint of PQ, and M1, 6, P-2, 5 Here, we have to determine the coordinates of ...

Q: + (1—п)P(х)и %3D (1 — п)Q("). dx Use an appropriate substitution to solve the equation 6 -y = æ14

A: Introduction: The solution to the differential equation of the form y'+p(x)y=q(x) is given by, y(I.F...

Q: 1.Prove that equation x^2 + y^3 = 60 does not have any positive integer solution. Prove by exhaustiv...

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as t...

Q: i) En=1 100 11

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Q: Compare the Fixed-Point Iteration Method with the Newton-Raphson Method. What are the strengths and ...

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Q: Use an appropriate substitution to solve the equation y --y y4 and find the solution that satisfies ...

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Q: Determine if the graph is Hamiltonian or Eulerian. If the graph is Hamiltonian, find a Hamilton cycl...

A: To find- Determine if the graph is Hamiltonian or Eulerian. If the graph is Hamiltonian, find a Hami...

Q: A tank contains 1520 L of pure water. A solution that contains 0.06 kg of sugar per liter enters a t...

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: Learning Task 4: Evaluate the limit of a function using the concept of special lim- its. int lim +2 ...

A: Since you have posted multipart question and we can answer three subparts. So, answered first three ...

Q: 18) Glide Scooters has an electric scooter rental service. The cost of riding around in a scooter is...

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Q: find the important parts (vertex, focus, directrix, endpoints of latus rectum and focal point diamet...

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Q: Find the number of 13-card hands drawn from a 52-card deck that are void in exactly one suit.  ("Voi...

A: Solution :-

Q: x²-x +2x+2 x²+3X+2 (2) J-

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: -kt Evaluate L{e sin at – 2 k А. ( ' 2(s–a) (s-a) +k² s+a (s+a)° +k²_2(s+a) a C. s-k)-α° 2(s-k) a B.

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: Obtain the general solution of the following higher order differential equation. 5. (2D4 – 128D)y = ...

A: We have to find the general solution of the 4th order differential equation 2D4-128Dy=0 where D=ddx....

Q: i 1 i 2i Given two matrices: C = 0 and D = -i 2 -i -1 0. -2i i a. Show that: det (C*) = (det C)* = d...

A: Since you have posted multipart question and we can answer three subparts. So answered first three s...

Q: 3 1 J fdx, given f(x) = %3D

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Q: Solve the Laplace transform of: 3 cos 8t + 2 sin 8t

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Q: V3 – 2 lim H:-4 5.

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