Prove (kindly provide reason/s) that for any real numbers m and n, (-m ) + ( - n ) = - ( m + n)

Q: Find integral of 24 du 2. (4²-1)²

A: We need to find ,  ∫2uu2 - 12du Now, plug ,  u2 - 1 = v ⇒ dv = 2u du  

Q: Problem 4. If A = [aij] is an nxn matrix, then the trace of A, Tr(A), is defined as the sum of all t...

A: The solution is given as  

Q: What is the function f on (a, b) if for all x1, X2 in (a, b) when x, f(x2). is it decreasing or inc...

A: for all x1 , x2 in a,b when x1<x2 then fx1>fx2 claim- is it decreasing or increasing

Q: grating factor of (x²y – 2xy²)

A:

Q: Using Cauchy-Riemann equations, show that the function f (2) = (z+8)² is differentiable everywhere.

A:

Q: Evaluate the combination. C(44,22)

A:

Q: If A =

A: Given,     A=1110-12002

Q: A band of 23 weary travelers entered a lush forest where they found 63 piles each of containing the ...

A: The Diophantine equation is very important in number theory. It contains two variables and one equat...

Q: (a) Find the mean and standard deviation for each sample. Sample A Sample B Sample C Mean Sample Sta...

A:

Q: Solve for the missing information (Lines that appear to be tangent are tangent.) AC = 20 cm, AE = 37...

A: To find- Solve for the missing information (Lines that appear to be tangent are tangent.) AC = 20 cm...

Q: 2.x1 + 3x2 + x3 – 11x4+ 4x5 = 30 5x, – 2x2 + 5x'3 – 4x4 + x5 = 36 T1 – x2 + 3x3 - 3x4 + 5x5 == 23 - ...

A:

Q: Find the shortest path in graph H from a to f using a tree diagram. The tree diagram below is missin...

A:

Q: Find all rea

A:

Q: 2/3 1/2

A: As per the BODMAS, first simplify the expression in the bracket.

Q: Composition with an affine function. Show that the following functions f : R" → R are convex. (a) f(...

A:

Q: x2 - 3xy + y2 = A { x2 + y2 = B Given the system of equations where A = 2 and B = 8

A: Given: Let us consider the system of equations x2-3xy+y2=Ax2+y2=B where A=2 and B=8 Using the succes...

Q: of dy sec(

A:

Q: . Use Fermat factorization to factor 1891

A:

Q: Which equation choice could represent the graph shown below? -10 -9 -8 -7 -6 -5 4 -3 1 3 4 56 7 8 9 ...

A:

Q: The triangle and square have the same perimeter. (The sides are not drawn to scale). Find the perime...

A: Given figure is Perimeter of triangle= sum of length of sides. So, in triangle Perimeter of triangl...

Q: Problem 8. Determine all 2x2 matrices A with the property that AB = BA, for every 2x2 ma- trix B.

A: We have to find type of matrix A which will satisfy AB=BA 

Q: (-1)"n For positive integer n, let a, 3n Determine whether the sequence {an} is convergent. (a) (b) ...

A:

Q: 10 Simplify (1+iv3)"

A:

Q: Evaluate the integral. -7 et dx 1- e2x -8

A:

Q: Find the shortest path in the graph froms to y. 6 2 5 8 3 1 5, z, y 5, 2, X, y a b S, W, y d. 5, W, ...

A:

Q: 2. Let A = be an orthogonal 2 × 2 matrix. cos(0) sin(0 (a) Explain why the vector can be written as ...

A:

Q: Reflect your function in the x-axis and add it to your graph in the chosen domain. Sketch the outlin...

A: To make: A 3D model of a solid of revolution with a minimum of 6 discs using thick cardboard and ske...

Q: Let the function f:R² →R be given by: f(x, y) = 5– 24x – 12y + 24x? + 12xy – 8x – y3 2a. Calculate a...

A: providing the answer for first 3 parts if you want the answer of other part please the question agai...

Q: Which adjacency matrix represents graph G? b d G го о 1 1 01 0 0 0 1 0 1 0 0 0 a 1 1 1 0 0 1 Lo 0 1 ...

A:

Q: If f(x, y) = log, (cos (e* ))+ sin(x + y) then f (x,y) is ây ôx A) - sin(x+v)

A:

Q: Let u (z, y) = 8r + 3ay- y Part (a) Show that u is a harmonic function. Part (b) Find a harmonic con...

A:

Q: Simplify the expression so that no negative exponents appear in the final result. Assume all variabl...

A:

Q: Solve ry + 5 y = 10a for y(1) = 2

A:

Q: Y = - 3x + 2 Y = - 3x - 1 Slope: Slope: -2- -2- Y-intercept: Y-intercept: -2- -2-

A:

Q: Consider the density curve plotted below: Density Curve 0.137 0.125 0.112 0.1 0.088 0.075 0.063 0.05...

A:

Q: Find an arc length parametrization of the curve r(t) = (1/1+t^2,-1,t/1+t^2)

A: Find an arc length parametrization of the curve r(t) = (1/1+t^2,-1,t/1+t^2)

Q: Let a > 0 and let f: [0, a] –→ R be an increasing continuous function. Consider the curve C parametr...

A:

Q: 3. (a) Suppose N : V → V and N' : V → V are nilpotent of index r and s respectively and NN' = N'N. U...

A:

Q: et M denote "Miyazono plays violin.", A denote "Arima plays piano." and S denote the Music is sorrow...

A: M : Miyazono plays violin A : Arima plays piano S : Music is sorrowful to represent If the music is ...

Q: 4. Let W1 and W2 be subspaces of a vector space V such that V = W1 + W2. Let B be a basis for Win W2...

A: Given: W1 and W2 are subspaces of a vector space V such that V=W1+W2. β is a basis for W1∩W2, β∪β1 i...

Q: 3. Let V be a finite dimensional inner product space. If S = {u, v} is an orthonor- mal set, compute...

A:

Q: Choose the best definition of area. The angle made by taking the radius and wrapping it round the ci...

A:

Q: Solve (5x + 9y) dx + (9x+ 5y) dy

A:

Q: +oo n Σ (-1)" 2n – 1 n=1 1+ x Find the domain of convergence of functional series. Is the convergenc...

A: Given: Let us consider the given ∑n=1+∞-1n2n-11-x1+xn and determine the domain of convergence of fun...

Q: Find the shortest path in graph G from a to e using Dijkstra's Algorithm. The table below has 3 blan...

A:

Q: Let u(x, y) = 2x + 3x²y - y³. |(i) Show that u is a harmonic function. i) Find a harmonic conjugate ...

A:

Q: Prove or disprove it.

A:

Q: Solve for the differential equations. y = (2y – |dy x²y² + 1, \1+x?y2 + 2x ) dx

A:

Q: cosy dx+[x+le dx +[x+1

A:

Q: How to determine if a graph is euler or not

A: Calculate the degree of all vertices of the given graph