4. Prove that given any integer for n, n3 + 2n will be divisible by 3.

Q: The degree sequence of a graph is the sequence of the degrees of the vertices of the graph in non-in...

A: Handshaking theorem:  In any finite undirected graph, an even number of vertices always have an odd ...

Q: 6. (a) Suppose U, W are subspaces of V. Show that (U + W)º = U°n W0. (b) Suppose V is finite-dimensi...

A:

Q: 1. Let X = {a, b, c, d, e} and T = {Ø, X,{a}, {c, d}, {a, c, d}}. Find the closure, interior, exteri...

A:

Q: Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of frien...

A:

Q: (-1)"+12nx" En=1 2 п+3 n°

A:

Q: What is the angle in radians between the vectors a = (6, 8, -2) and b = (-7, 7, 0)? Angle: (radians)

A:

Q: t+ x- 3y + z= 0 Let V be the solution space of the homogeneous linear system t+ 3x – 4y + z= 0 2х — ...

A: The given question is related with vector space. Given that V is the solution space of the homogeneo...

Q: #1. ii. Thanks

A:

Q: 1. What is the value in the interval [-3,3] so that the difference of the number from its square is ...

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question s...

Q: Find the point on the sphere x+ (y-4) +(z-9) 9 nearest to a. the xy-plane. b. the point (0, -9,9). a...

A:

Q: 6. (a) Suppose U, W are subspaces of V. Show that (U +W)° = U°nW°. (b) Suppose V is finite-dimension...

A: Multipart:    (a)  Suppose ,  U  and  W  are subspaces of V. We need to prove that ,  U + W° = U° ∩ ...

Q: 3. Induction is a variant of induction, in which we assume that the statement holds for all the valu...

A:

Q: 5. If f:1 → R is differentiable on I and f(x) 0 ,f'(x) ± 0 for x € l if g(y) =÷ , y# 0 what is (gof)...

A:

Q: 4 3 1 Given matrix A= Find the inverse of A, A 1 1

A: Inverse of the Matrix

Q: Given the tabulated function f(x) -1 2 3 4 f(x) a) Use Newton's Divided Difference Method to obtain ...

A: If x0, x1, x2, x3 is four interpolating point of the function f(x) and f(xi ), f(xi, xj), f(xi, xj, ...

Q: 3. (1 point) Let f : R² → R³ be the linear transformation determined by (;)-() (1)-() 3 4 -6 (1) Fin...

A:

Q: For the function below, express f(t) in terms of the step function. Simplify the expression

A:

Q: PLOT THE IMAGE PRE-IMAGE Transformation COORDINATES b) Pre-Image Points Image Poìnts A'L A (1,-4) в ...

A:

Q: etermine V o1 and V 02 for the networks shown below (a) and (b). Si Ge Si 4.7 k2 1.2 k2 -12 Vo Voz V...

A:

Q: on of y" – 2y' + 2y =

A:

Q: The equation of the hyperbola that has a center at (4, 6), a focus at (9, 6), and a vertex at (0, 6)...

A:

Q: A tank holds a 42 liter solution of alcohol and salt. Initially, the solution contains 5 grams of sa...

A:

Q: A CD I AB, BE LAC CD = BE, BD = 5x -7 CE = 2x + 14, DF = 2x + 5, D E EF = 3x - 2. 9. Find m2C 10. AA...

A: Given: The figure, CD¯⊥AB¯, BE¯⊥AC¯, CD¯=BE¯, BD=5x-7, CE=2x+14, DF=2x+5 and EF=3x-2   To find: m∠C...

Q: y 21 3 2 8 -1 -7 -2 -24 Use Lagrange Interpolation to answer the followings. In order to do Lagrange...

A:

Q: II. In Fi

A: we know that measure of complete angle is 360° therefore mAXB^+mAB^=360° given that mAXB^=2mAB^ subs...

Q: Reflect the figure over the line y = -1. Plot all of the points of the reflected figure. You may cli...

A:

Q: local zoo has asked 28 people to rank their preferences for the four names shown below in the table....

A: The comparison will be made among Apollo and Bengal  Apollo and King  Apollo and Prince Bengal and K...

Q: 4. If f:1 → R is differentiable on I and g(y) = yn for ne N and ye R what is (gof)' by usin chain Ru...

A:

Q: Identify any dictator and all dummies in the following weighted voting scheme. Suppose the voters in...

A:

Q: Evaluate the problem if its converse or diverse, if converse then get the sum. Ex=1 -X X +2

A:

Q: 4. Using the definition, not the table, find the Laplace transform of (a) f(t) = −3 (b) g(t) = 4t −e...

A: Laplace transform of the function

Q: • Problem 2. Let a,b e R, with a < b. Consider the set B[a,b] of all bounded functions from the inte...

A:

Q: Your answer is correct. Determine whether the series converges; if so, find its sum. If the series d...

A:

Q: Question 5. Given the following mat ices: [1.0 4.6 7.1] X = 1.0 2.2 3.2 [-2.6] y = The normal equati...

A:

Q: We invest $5500 in an account that pays simple interest of 4% each year. How much interest is earned...

A:

Q: Problem 2. In Fig. Prob_2, determine the ratio a/b for which i = y Fig. Prob_2

A:

Q: dy 12. (1 + x) dx xy = x + x²

A:

Q: Convolution method: Find the function whose Fourier transform is 1 (4 + k2)(9 + k²)

A:

Q: Prove 22n! for n=4 Prove R

A: According  to guidelines  we solve one question. We solve question 1 by induction method.

Q: Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of frien...

A:

Q: Question 7 z/z - 2)] d(n + -2) + 28(n + 1) + 2(-1") 老 d(n + -2) + 48(n+ -1) + 2(2")| d(n+ -4) + 28(n...

A: We have to find the inverse z transform.

Q: 6. Let a be a real number. Consider the series Σ cos(n7) An, where An = 2n + 1 n=0 (a) Is it possibl...

A:

Q: Consider the vector v between (-5, 5, –3) and (1, 1, 1).

A:

Q: Is the series convergent or divergent? Justify the answer by solving it and explain why it is conver...

A:

Q: Solve the Following Equations Using Newton's Method a) cos(x) – sin(x) = 0.5 b) e* + 4 = x* – 10

A:

Q: b Write the vector b in terms of the other vectors. C.

A:

Q: Let a, b, c E R, and consider the plane P with equation in vector form given by x = (a, b, 3] + s[a,...

A:

Q: Q5 vector field, In Cartesian coordinates, a vector field takes the form F = 2rzi+ 2yz j+ (r? + y) k...

A:

Q: NOTE: YOU ARE NOT ALLOWED TO USE LIMIT COMPARISON TEST & ALTERNATING SERIES TEST +00 sin' n +00 n(In...

A:

Q: Q 4.1.The number of rows that appear in the truth table for the compound proposition: (p 19) (r (-p ...

A: # We are entitled to solve one question at a time ,please resubmit the other question if you wish to...