ts sum. cos (an) If an=1000,evaluate lim %3D anta n=1

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Q: Determine the sum of the first five terms of the geometric sequence where a = 3 and r=2. ... The sum...

A: The formula to evaluate the sum of n terms of a geometric sequence is Sn=arn-1r-1, if r≠1, where a i...

Q: Q3 Use Secant Method to find the root of the function. F(x)= cosx + 2sinx + x^2 to 5 decimal places

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Q: 1. lim f(x) = 2. lim f(x) = %3D 3. lim f(x) = 4. lim f(x) = x-2 X-2 5. lim f(x) = %3D

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Q: Answer number 1. Show soln

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Q: Problem 3: Non-linear systems of equations Given the following system of nonlinear equations fi (x1,...

A: Solution:-

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Q: A trader gives a 5% discount for cash payments. What cash discount will he give on a bill of #35,300...

A: The expression: "p% of q" is same as p100×q.

Q: Consider the LP problem in Figure QP2.1 and refer to the Solver sensitivity report in Figure QP2.2. ...

A: We will use the basic knowledge of linear programming to answer this question.

Q: II Simplify the following: 1. (ĀNĒ N Č) U (Ā OBNC)U (ĀNBN Ĉ) U (ĀN B N C) U (A O Bn Č)U (A N B nC) a...

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Q: 2. If f(x) = x , g(x) = 5x and h(x) = x + 4 find each value 1. flg(1)] 2. g[h(-2)]

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Q: 3. A and B are two events such that P(A) =, P(A|B)= and P(A|B')=;. %3D Show that P(AOB) : 64

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Q: 1. lim f(x) = x2* 2. lim f(x)= X-2 %3D %3D 3. lim f(x) = 4. lim f(x) = %3D x2 X-2 5. lim f(x) = %3D

A: The limits of  function at a point a is the value of function approaches to f(x) as x approaches to ...

Q: f (t) = u(t) + (1 – t) · u(t – 1) +(t – 2) · u(t – 2) -

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Q: Suppose that f(x, y) = e 42? - ly + 7z + 2y then find the discriminant of f.

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Q: Let f (x, y) = x3 – 3xy + y3. Find all critical points of f and at each critical point, - use the Se...

A: Critical points using second derivative test

Q: Let (X,dX) and (Y,dY) be metric spaces. If the sequence (fn) of functions from X to Y converges unif...

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Q: Rochelle invested $100 at the end of every month into an RRSP for 11 years. If the RRSP was growing ...

A: Given information Initial principal balance P=$100 Rate of interest r=4.60% ⇒r=4.60100=0.046 Period ...

Q: z" + 6z' + 9z = e * z(0) = z'(0) = 2

A: We have, Lz''=s2Lz-sz0-z'0 and Lz'=sLz-z0 Leat=1s-a Lt=1s2

Q: Question 14 Solve the D.E.: (2xy - 3x^2) dx + (x^2 + y) dy = 0 Show your solutions on a separate she...

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Q: Find an integral solution to the following initial value problem, making sure that the solution sati...

A: Here, we are given the following system.      ut+u22x=0,   (x, t)∈ℝ×ℝ+u(x, 0)=2,  x<01,  0≤x≤10, ...

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A: In addition to the three necessary assignment statements. We need an extra variable where we will sa...

Q: Which of the following expressions are equivalent to cos(20), .? tan(0) Choose all answers that are ...

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Q: The numbers of polio cases in the world are shown in the table for various years. Year Number of Pol...

A: The general exponential equation is represented by the equation: y=abx. Here, x is the independent v...

Q: Let  : IRn → IRn be a linear operator whose characteristic polynomial of T e: pT (λ) = λ (λ2 − 1) (...

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Q: 54. Log(3+2) = Ln(3+2YLn10 A 0.514 +j0235 B. 0.567 +j0245 C. 0.556 + j0255 D. 0.578 +j0265

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Q: Identify the values of the

A: The expression ∏ajj=mn is the product of the terms am, am+1,⋯⋯⋯⋯⋯an. Simplify the given expression w...

Q: 6. Define fe (R2)* by f(x, y) 2x + y and T: R2 (3x + 2y, x). (a) Compute T'(f). (b) Compute [T']p, w...

A: We will use the basic knowledge of linear transformations to answer all the three given subparts of ...

Q: 2 2 R = -3

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Q: 1. lim f(x) = 2. lim f(x) = %3D 3. lim f(x) = 4. lim f(x) = x-2 X-2 5. lim f(x) = %3D

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Q: The part of the plane 3x + 2y +: - 6 that lies in the first octant

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Q: Solve for the zeros of the following functions using the Rational Root Theorem. 1. P(x) = x3 - 4x2 +...

A: Find the zeros of P(x) using Rational Root theorem.

Q: f(2) = Asng(2+) %23 Za camplex no - %3D find boints of cantouity A duontinuity ond label it' as remo...

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Q: 6y²=7y+20

A: Given: 6y2=7y+20

Q: -24 Using polynomial interpolation of the data above, find: a. the degree b. the polynomial equation...

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Q: Matching Question Match the statement on the left with the task on the right needed to prove the sta...

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Q: Find the general solution of y + (1/3)y = e"y Show your solutions on a separate sheet of paper. A 1/...

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Q: There are three children in the Skosana family. Each week the eldest earns R270, the middle child ea...

A: The comparison of two numbers  by division is known as the ratio. It is denoted by symbol ":" A rati...

Q: Find the function y of t which is the solution of 49y" + 14y'-35y = 0 with initial conditions 1 (0) ...

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: 32. Evaluate (2i)' and express the result in rectangular form of complex number. A) 0.350 + 0.187i B...

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Q: The figure shows the flow of traffic (in vehicles per hour) through a network of streets. 400 600 X2...

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Q: Consider the following linear differential equation, sin(z) y' – cos(z) y = 5 cos(z) (a) Calculate t...

A: Given: sin(x)y'-cos(x)y=5 cos (x)

Q: Can you conclude that A= Bif A B, and Care the sets such that a) AUC= BUC (Click to select) v b) ANC...

A: Use the properties of set.

Q: Solve the following problems completely and accurately. Representation, Illustration, Quantity to be...

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Q: 1. Find the eigenvalues and corresponding eigenvectors of T: R² R? where the transformation is given...

A: We have to find the eigenvalues of the linear transformation Tx1, x2=2x1-x2, -x1+2x2. For this, we h...

Q: 2.3 Theorem. Let p(x) be an irreducible polynomial in F[x). Then there exists an extension E of F in...

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Q: (*- z) if 0 <I < 27, f(x) = %3D f(r + 27) otherwise. ) Find its Fourier series.

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