Find the sum of the divisors of 120. Generalise the result for an arbitrary natural number M

Q: 3. Find the area of the region bounded by y = x², y = 8 - x² and y = 4x + 12.

A:

Q: Q3: Solve (x + y)dx - x dy = 0

A:

Q: Find the basic solution for the following (T.M) by using (least cost method), then find the optimal…

A: please comment if you need any clarification. If you find my answer useful please put thumbs…

Q: i) Consider the 2 x 2 matrix A = (ª a11 12 922 0 M(a‚ß) = (3-³). 262 Problems and Solutions Find…

A:

Q: 2. Find the first five nonzero terms of the power series solution of the initial value problem: y +…

A:

Q: D B C E F

A:

Q: Use Laplace transform to solve the partial differential equation: d'y dy +xt where y(x,0) = 0,…

A: Solution

Q: Transformers for underground works were planned to be provided. Type A has an initial cost of…

A: Solution:-

Q: (31) Use Newton's Method to make the second approximation x2 to the solution of 2e* = ex. Take ₁ =…

A: Solution :-

Q: If Ø (z)= y + ja represents the complex potential for an electric field and a =p² + ;+ (x+y)(x−y)…

A:

Q: Find the mass of a plate bounded by arch of the curve y = sin x, and the x-axis, if the density…

A: Solution :-

Q: y" - 5y'=x-2, when x = 0, y = 0, y = 2

A:

Q: Give an example of a non-planar graph that is not homeomorphic to K5or K3,3.

A: We can solve this using definition of planar graph.

Q: Question: Find the mass of a plate bounded by one arch of the curve y = sin x, and the x-axis, if…

A: Solution:-

Q: POMERO OF 10 al rate of 0.9% compounded continuously, how long to the nearest year) would take b the…

A:

Q: Q4: A- Find the flux of the field F = i+j+k √√x² + y² +2² bounded below by the plane z-0 and bounded…

A:

Q: Supppose A is an invertible x n matrix and is an eigenvector of A with associated eigenvalue-2.…

A: Here we use the properties of eigenvalues of matrix to answer the appropriate question as below.

Q: Using a decomposition model, we find the following relationship for trend and quarterly seasonality…

A: Answer : The forecasted demand for the second quarter of the fifth year is 49.32. 1. t = 2 for…

Q: ▪ Homworke Example 2 The point P(x, y) is given an anticlockwise rotation of radians about the…

A:

Q: Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

A: First we will write Inclusion-exclusion principle for two sets.

Q: y" + y = sec x tan x

A:

Q: Use substitution to find the Taylor series at x = 0 of the function In 1 + 4x8 What is the general…

A: We have to find Taylor series for function in 1+4x8

Q: Learning Task 5: Solve the following problems involving optimization. Do this in your notebook. 1. A…

A:

Q: 1) Solve by using Laplace transform the partial differential equation 2² 8² dt2 =9. y(0,t) = 0,…

A: Solution

Q: Please do the activity shown below. Use pre-specified tolerance of 0.001. Given are the following…

A:

Q: Turn the following differential equation into a system of first order equations suitable for…

A:

Q: Use Taylor series method to compute x(0.2) and given that d²x dx de -4x=0,x(0)=1,-(0)=2 dt² dt dr…

A: Taylor series of f(x) at x=0, is given by fx=f0+xf'0+x22!f''0+x33!f'''0+x44!f''''0+.....

Q: Using separation of variables find a one parameter family of s dy 8x² + 3 -2x e dx xy tions of the…

A: Solution

Q: Find the volume of a right pyramid that has a square base in the xy-plane. − 1 ≤ x ≤ 1, − 1 ≤ y ≤ 1,…

A: Given A right pyramid that has a square base in the xy plane      -1<=x <=1 -1<=y <=1…

Q: 2. Find the eigenvalues and eigenvectors of A = 2 1 0 121 O 1 2

A: Solution :-

Q: 3.17 Let f(t) be a T-periodic signal and let g(t) be the signal given by 1 rt g(t) = f(u) du. a Jt-a…

A: Solution :-

Q: Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

A:

Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

A: First find the degree of all the vertex.  The degree of vertex  V of a graph is the number of edges…

Q: Use substitution to find the Taylor series at x = 0 of the function 14 sin (-x). What is the general…

A:

Q: ) Solve by using Laplace transform the partial differential equation 8² 2² = 9. dy(x,0) y(0,1)= 0,…

A:

Q: (b) for 3-3.x 10 dx

A:

Q: Check the operation Division over Numbers. Associativity of binady Subtraction and the of Complex…

A: We have to check the associativity of binary operation that is subtraction and Division over the set…

Q: Question 3: The function f(x)= max x, searches for the maximum value between a number. Prove…

A:

Q: Caitlyn sells her drawings at the county fair. She has portraits and landscapes and she is required…

A:

Q: Suppose f: A B and g: BC are functions, show that a) If both f and g are one-to-one, then go f is…

A:

Q: Consider the following two ordered bases of R³: a. Find the change of basis matrix from the basis B…

A:

Q: H.w: Find the Fourier series for the following functions: 2x 1+ –π < x < 0 1- f(x) = 1- - 0 < x < π…

A:

Q: 3. Use a midpoint Riemann sum with n = 300 to approximate (22³ – 8)dr. Round your answer to -2 four…

A: we are to divide the interval with length ∆x =0.023333333333333 So  the data points are…

Q: Hiwo- solve the hyperblic partial differential equation numericaly where d²u d²u dx² = with initial…

A: Given  ∂2u∂x2=∂2u∂t2 The wave equation is ∂2u∂t2=c2∂2u∂x2 So c2=1 The difference for the given…

Q: ermine the constant a so that the vector V = (x+3y)i + (y-2z)j + (x+az)k is solenoidal

A:

Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

A:

Q: Sheep's Wool Length: For sheep maintained at high environmental temperatures, respiratory rate,…

A: Introduction: A linear feature is described as a feature with one or variables and no exponents in…

Q: S 5 1 1

A:

Q: Given the following 2√2 h3(n): (²1³) " (n)u(m) 3 2.1 Determine the system function H(z). Simplify…

A:

Q: Drag the points to sketch the graph of the given function. Determine whether f is continuous,…

A: