QUESTION 1 a. An invoice of RM 10,000 including service charges RM 500 dated 26 June 2020 was offered 15% and 7% trade discounts and cash discount terms of 5/30, n/60. i. Calculate the net payment if it was settled on 29 July 2020. ii. Find the outstanding balance if RM 5,000 was paid on 20 July 2020.

Q: B) Given the set S = {(3k, -2k) kER}. Which of the following is wrong? Select one: O (-2, 3) is not…

A:

Q: Use the transformation u = y - x, v = y, to evaluate the integrals on the parallelogram R which has…

A: We need to evaluate the integral: ∬Ry-xdA using the transformations: u=y-x, v=y. Here, R is a…

Q: с 2 0 Use Green's theorem to evaluate the line integral _cos fc (2tan x − 2y³) dx + (ä⁰⁹ y + 2x…

A:

Q: 2. Determine H(s) = the Inverse Laplace Transform of 13s² + 46s + 133 (s + 1)² (s² + 6s +25)

A:

Q: Let V be an F vector space of dimension n. Prove that, for k≤n the vectors V₁, V2,..., Uk are…

A: Hints:   It is given that V be a vector space of F of dimension n. Then we have to prove that  vi's…

Q: A non-linear system is governed by the following differential equation dx +x³u; x(0) = 0.1; u = 1…

A:

Q: Determine whether each of the following sets are subspaces of R³ with the standard operations. sure…

A:

Q: 1 the 8 A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest…

A:

Q: In this problem, verify that the given functions y₁ and y2 satisfy the corresponding homogeneous…

A:

Q: I Find the volume generated if the area described is revolved about the indicated axis Solve using…

A: Introduction: When the cross-sectional area is perpendicular to the axis of revolution and the axis…

Q: 49. Copy the diagram below as part of your solution to this question. a) Draw the resultant vector…

A:

Q: 21=6=0 +21= x 50 ' x - 21 = 2 :S +2)ds, WHERE S √√(x-6y + 2) ds EVALUATE

A:

Q: 1. Find the determinant of matrix A. (Try using elementary operations and properties of determi-…

A:

Q: b) dx dt dy dt = = 4x - 2y 2t 5 = 3x-y-2t-3

A:

Q: solution to the dif 4t-1/3e^3t........the

A:

Q: Differential Equations Question: What is the largest open rectangle in the ty-plane containing the…

A: Let us consider a IVP y'=f(x,y), yx0=y0 If f is continuous on open rectangle that contains x0,y0…

Q: B7. Refer to the shaded object in Figure QB7, y = -2x² +2 Part B: Determine: 1 y a) the area for…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: 1.) Finish solving the series solution of the differential equation from the point provided, your…

A: We have to find recurrence relation and then find relation between coefficients of series to…

Q: Complex Numbers. 1. Evaluate the following. Express all final answers in rectangular form. a. A =…

A: Solution 1(a): Given A=cosln(-π)3⇒A=cosln((π)(-1))3⇒A=cosln(π)+ln(-1)3⇒A=cosln(π)+πj3…

Q: (a) (b) 5 1 a f d m 5 b h k h 2 3 Determine which of the graph have Euler circuit, Euler trail,…

A: Given: Graphs To determine: Which of the graph will have Euler circuit, Euler trail and Hamiltonian…

Q: 6. Find the transition matrix from B to B' and find the coordinate matrix [x]B¹, given the coordi-…

A: Note: As per the Bartleby guideline, we can't author handwritten solutions. So we are authoring a…

Q: Calculate the norm of the linear functional 1 į t f(t) dt on each of the spaces 0 (C[0, 1], || ||)…

A:

Q: Find a single vector that has components of 42 m north and 16 m east.

A:

Q: Find Fourier Series for the -πt K following 2111 X function

A: Fourier series for the periodic function

Q: Compute the quantity, (wow) W= w.w w, using w= (Type integers or simplified fractions.) 5 -2 -6

A:

Q: Part 3. Use separation of variables to obtain a product solution to the following: dud?u + əx² ay²…

A: Given PDE is ∂2u∂x2 + ∂2u∂y2 = 0

Q: Show that the vector field F = (xy² + 3x²y)i + (x + y)x²j is conservative, and calculate F. dr for…

A: Given the vector field  F→=xy2+3x2yi→+x+yx2j→

Q: y' = ty - 2+ 1 sin t y(-4)= 0

A:

Q: 2. The graph of a function and its derivative are shown y y y=h(x) Determine, where applicable, the…

A: Since you have asked a question with multiple sub parts here, we will solve the first three sub…

Q: A certain vibrating system satisfies the equation u" + yu' +u = 0. Find the value of the damping…

A:

Q: As a spring is heated, its spring "constant" decreases. Suppose the spring is heated so that the…

A: Question-1 The displacement x(t) is governed by the initial value problem. 2x"(t)+x'(t)-(7-t)x(t)=0;…

Q: Find the characteristic equation of the matrix by inspection. -2 5 27 -1 0 0 0 80 0 0 4 The…

A: Given matrix is 4-2520-10000800004

Q: GRAPH r(u, v) = u cos vi + u sin vj tuk

A: We need to plot the parametric surface: r(u, v)=ucosvi+usinvj+uk.

Q: Select the following asymptotic estimates that are valid. log(n") n² = O(log(n!)) √n³ + 2n³ + 1 =…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: (Question 8, 9, 10, 11, 20 pts) For the following exercises, find f(x) for each function. Use the…

A:

Q: 4. Determine whether the column vectors in each of the following matrices form a basis for R³. If…

A:

Q: A skydiver weighing 292 lbf (including equipment) falls vertically downward from an altitude of 4000…

A:

Q: Question 5. Find the general solution to the following nonhomogeneous system: 20] =]]+[2]. dx 92 8x…

A:

Q: Determine wo, R, and & so as to write the given expression in the form u = R cos(wot - 8). u =−6…

A: It is provided that u=-6cosπt-7sinπt. We need to convert this into the form of u=Rcosω0t-δ to…

Q: 19. y" + 2y + 5y = t cos 2t, y(0) = 1, y'(0) = 0

A:

Q: Find and classify the relative extrema of the function, if they exist. You MUST use the…

A:

Q: A spring is stretched 6 in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism…

A: Solution:

Q: Evaluate the integral by making an appropriate change of variables. [[ ⁹ COS( 7 (Y + X)) 9 Need…

A:

Q: 5. Find (a) a basis for the row space, (b) a basis for the column space, (c) the nullspace, and (d)…

A:

Q: Encrypt the message ATTACK using c = (p+12) mod 26 O a. MGGMOX O b. LFFLOW O C. LFFLOX O d. MFFMOW

A: Each letter in the alphabet corresponds to a number between 0 to 26. Letter A B C D E F G H I J K…

Q: Evaluate: ₁²x²ln(x) dydx

A:

Q: 120 5+sin 0 5. (a) Find the constants a,b,c for the conic r=- Sketch the conic.

A: Introduction: Apart from Cartesian form, a conic can also be represented in polar form. The most…

Q: C2, if A act on C2, where A = [a1a2], αγ = (-3, 2), a2 = (-1, – 5) = a₂ Ο λ = -4 + i, (1 - i, 2); λ…

A:

Q: = evaluate -0.5 sin xy 1+xy 0.5 0.5 dx dy, using the Ax = 4y = 0.25

A: As per the question we are given a double integral and we have to evaluate it numerically with step…

Q: Problem 1: Using the bad SVD algorithm, find an SVD for A by hand: 1 1 1 A = -1 0-2 12 0 please show…

A: