A payment of R150 000 due in 30 years' time is purchased from a company by means of level monthly payments.

Q: FOURIER SERIES Find the Fourier series of f() as given over one period Sketch f(x). (Show the…

A: To calculate the Fourier series of the below function. fx=−k    If −1<x<0k    If…

Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy)+ log3(x – y)' Do as indicated. 1.…

A: First we change the base if logarithm to e.

Q: Use the Runge-Kutta Method Solve the: 5-52ヴー0 y(0)=1 ;h= o2

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Q: o f > 0 and f" 0, for a > 3.

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Q: Solve the problem. Give the answer to the nearest thousandth if necessary. 32) The diagram below…

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Q: Show that for every positive integer n there exists an irreducible polynomial of degree n over Fp.

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Q: Q8: Given that -2 X = 1 8 -8 -9 -9,Z -7 7 -2. -8 5 what is the matrix 3X + Y – 3Z?

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Q: Find the solution of the equation = e cos y which tends to zero as x → 0o and has the value cos y…

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Q: Let Q be the set of rational numbers and R be the set of real numbers, A = {x e R: 5<x< 10}, B = {x…

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Q: Q1: For the given matrix A, find (a) The rank of the matrix A, (b) a basis for the row space (c) a…

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Q: Obtain the general solution unless otherwise instructed. Use synthetic division in factoring the…

A: "Since you have asked a question with multiple sub-parts, according to our guidelines we will solve…

Q: 3. The terms in the sequence 6, 2, -4, -6, -2, 4, ... can be found using which formula? (a) a,= a…

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Q: Write a stochastic matrix corresponding to the transition diagram. 0.1 0.2 A B 0,4 The stochastic…

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Q: Consider the following optimization problem: Determine three positive real numbers such that their…

A: Solution

Q: A question and two statements labelled (I) and (II) containing some data are giver as follows: How…

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Q: Consider the change of variable u = xy and v = x - y and the integral (x² – y²) • ea³y-wy°dAgy Rey…

A: We have to change the variables using  u= xy , v= x-y for given integral  I=∫∫Rxy(x2-y2)ex2y-xy2dAxy

Q: Determine a series of transformations that would map Figure F onto Figure G. Press "try" to test a…

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Q: Consider the function g defined by 1 g(x, y) = cos (Tx/y) + log3 (x – y) Calculate the instantaneous…

A: Instantaneous rate of change (Directional derivative )  of a function f(x,y,) in the direction of…

Q: Solve the homogeneous system yi = 2y1 – 5y2 2 = Y1 – 2y2 with initial values y1(0) = 1 and y2(0) =…

A: We will first find the eigenvalues and eigenvectors of the coefficient matrix then form the general…

Q: a. ) Find the class mark, range with 7 as the classes. Arrange the classes in decreasing order. b. )…

A: a) find the class mark , range with 7 as the classes . arrange the classes in descending order.…

Q: Advanced Math A company estimates that the production cost function of x product is giving the…

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Q: Let V be a finit dimensions vector space of at least dim =1, Let T: V-> V be a linear transformation…

A: Solution

Q: 2. Solve the optimal control problem max J(u) = (3r(t) – 2u(t))dt > subject to the dy- namics dr =…

A: Let us start solving the problem step by step  Given optimal control problem J(u) dx/dt= x(t)+u(t)…

Q: 1. Find an equation of a curve, such that at each point (x, y) on the curve, the slope equals twice…

A: We have to find equation of curve.

Q: Find the volume of the solid that lies between the paraboloid z 2x+2y' and the plane Find the volume…

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Q: Solve the system using eit 1. - 2y + 2z = 3 2x – 3y – z = -7 -z + 3y – 3z = -4 %3D 2. a – 2y + z =-6…

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Q: 2.5 For each of the following properties, give an example consisting of two subsets X, Y CR', both…

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Q: 1. Let f be a function that admits continuous partial second derivatives such that: V{(x, y) = (22 –…

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Q: A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second…

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = , a = 1 5-x P3(x) = - x-1 + (x -…

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Q: Show that the centre of a ring R is a sub ring of R. And also show that the centre of a division…

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Q: Solve manually using formulas. At an annual effective interest rate i, an investment of 1 unit…

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Q: Give a 99% confidence interval, for µ1 – µ2 given the following information. ni = 35, ¤1 = 2.18, s1…

A: Confidence interval for the difference of means, where population standard deviation is unknown, is…

Q: a) Given the vectors in R3 v, =(11 -3), vz= (1 -3 1), v3=(-3 11) Using the system of linear…

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Q: Without using any theorems from the book, prove the following statement: The sum of any two odd…

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Q: 31) y +y, = 2cos(1), y, + y, = 0, y, (0) = 0, y,(0) = 1.

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Q: The chemical epinephrine (more commonly known as adrenaline) has the chemical formula CH(OH),C3H,NH.…

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Q: School fees at a certain school are due at the beginning of the year. The fees are set at R12000 for…

A: We need to use sum of geometric progression here  a+ar+ar2+ ...n th term =arn-1r-1

Q: Given the vector from P, p(t) = 2t-2t-3. Find the system you need to form to determine whether the…

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Q: et A be the sphere having diameter with endpoints (1, –9, –2) and (7, –1, 8). (a) Give an equation…

A: This is a problem of 3D geometry and multi-variable calculus.

Q: School fees at a certain school are due at the beginning of the year. The fees are set at R12000 for…

A: School fee at a certain school is due in the beginning of the year. The fees are set at R12000 for…

Q: Now suppose this is the graph of f'(x). Answer the following: + + b + a d A) Where is f(x) the…

A: (A) The graph of the derivative f'x lies below the x-axis which represents that the function is…

Q: Let D be solid hemisphere x² + y² +:? < 1, : 2 0. The density function is 8 = :. We will tell you…

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Q: We want to find the dimensions of the rectangle with the largest area that can be inscribed in the…

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Q: Find the series' radius of convergence. sn=∞ (-1)"(z+2)" m=1 (n+1)! O o, for all x O 0, for all x…

A: Radius of convergence

Q: Consider the function f(x) = %3D x²+1 (a) Find the intercepts of the graph of f (if any). (b) Find…

A: Remark: The x-intercept is the point at which the graph crosses the x-axis. At this point, the…

Q: Work Problems Question 1. :) Find the intersection of the (a) (* paraboloids z=2+x²+y? and z=1+ 2r?+…

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Q: 1.)Determine whether the Fourier series of the following functions converge uniformly or not. Sketch…

A: Given functions...let us start solving step by step  a.f(x) = sin(x) + |sin(x)|, - π &lt; x &lt; π…

Q: Solve the initial value problem (3+ x*)y/" + 4y = 0, y(0) = 0, y (0) = 12. If the solution is y = co…

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Q: 6. Solve the initial-value problem by finding series solutions about x-0: xy" – 3y = 0; y(0) =…

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