Suppose f : N → N is an injective function on the natural numbers which, considered as a relation, is transitive. Prove that f is the identity, i.e. f(n) = n for all n e N.

Q: What is the output of this circuit?

A: Here we use the circuit and their logical representation to answer the question.

Q: Determine if the given function is continuous and differentiable at the indicated values of x. Show…

A:

Q: 2. Using left side of the divergence theorem, find the total charge enclosed in the rectangular…

A:

Q: Solve the boundary value problem numerically - du = r, 0 < IS1 subject to u(0) = 0 = u(1)

A: d2udx2=-x2⇒dudx=-x33+c⇒u=-x412+cx+du(0)=00=du(1)=00=-112+cc=112u(x)=112(-x4+x)

Q: |Consider the function: 0<t<3 f(t) = 0, ket 3<t. A) Use the definition to find F(s) = L{f(t)}, where…

A:

Q: Let ~ CX *X be an equivalence relation on a set X. For x EX define x := := {x |x E X} is a partition…

A: This is a question from Relation.

Q: Given angle PSR is 90 degrees, calculate the sum of x and angle QSR in degrees. [Image 12 1 28 T R.…

A:

Q: NEED ASAP laplace{cos3t cos8t}

A:

Q: 4 Write the equation of the parabola given vertex and a point. a) vertex (-2,5); point (3, 6) b)…

A:

Q: Determine the four roots of – j625 in rectangular form. The final answer should be rounded-off to 2…

A:

Q: green balls. 8. The ball is colored red. 13 9. The ball is colored blue 10. The ball is colored…

A: A ball is picked randomly from a box containing 4 red, 5 blue and 6 green balls .

Q: у"(С) — бу'(t) — 2y(€) = 4 cos 2t – 4t³; y(0) -2, y'(0) = = -

A:

Q: Let u and v be non-zero vectors in 3-space. Prove that u and v are perpendicular if and only if |u…

A:

Q: I Example 10.24. If = dy 2eły, y(0) = 2, find y(4) using Adams predictor corrector for- dx mula by…

A: here we need to use Adams predictor-corrector method and Euler's modified formula.

Q: 16. Determine the following integrals: (a)Scos 8.xdx. S sin" x.cos.xdx (b)? sec² xdx (c) (d)Se*dx

A:

Q: Use a projection to derive a formula for the distance from a point (x,y) to the line ax+by=c, where…

A:

Q: Determinant of 2 x 2 Matrices. Solve for the determinant of the following matrices: -3 1. A = 4 6. 4…

A:

Q: 5. Write each symbolic statement as an English sentence. Use p, q, r, s, and t as defined below. p:…

A:

Q: Consider the relation R {(n, m) e N x N | |n – m| < 1}. Then for example (1,2) e R since |1 – 2| = 1…

A: As per our company guidelines we are supposed to answer only the first three subparts. Kindly re…

Q: 26. In how many ways can: a. five people be seated in a row? D. eight people line up for…

A: No. of ways in which people be seated in a row and Lineup for registration .

Q: Let n, k, m EN with n2k21. prove that

A:

Q: dy y - x* I Example 10.16. Using Runge-Kutta method of fourth order, solve with !! dx +x y(0) = 1 at…

A: If x0,yo is 1st approximation for solution of a 1st order differential equation then next…

Q: Question 5 What is true about co-interior angles? O Their angles sum up to 90 degrees. O Their…

A:

Q: 3. х — + 6у %3D 3хуз dx

A:

Q: Find the inverse of M 1 3] 1 2 2] 2 M : 1 Lo 1

A:

Q: Ces/21483/take X The output of this circuit is O Dependent on the value ofk 01 2 pts Question 28

A:

Q: Calculate x z dS, where S is the cylinder (including the top and bottom) x? + y = 16,0 < z < 5. (Use…

A:

Q: dy if x cosy =x+y. Hence find the value of dx dy if x = 0. dx 4. Find

A:

Q: Answer the given system of linear equations using INVERSE OF A MATRIX (using Determinants).

A:

Q: Workout Problem Question 1 Question 2 а. Find the spherical coordinates equation of the sphere 2? +…

A:

Q: There are 15 students in a class choosing between electronic copy, loose leaf and hardback text. Now…

A: Introduction: Combinatorics is a branch of mathematics that deals with counting as a means and an…

Q: For the following items, consider the function f(x,y) = 9x² + 16y² А. Determine the domain and range…

A: We know that the domain of a function is the set of values for which the function is defined and the…

Q: Votes for Republican candidates Votes for Democratic  Republican seats  Democratic seats 2010 3058…

A: The given data is,  Votes for  Republican  candidates  Votes for  Democratic  Republican seats…

Q: A 50-mg sample of a radioactive substance decays to 34 mg after 30 days. How long will it take for…

A: The radioactive decay is modelled using the equation: N(t)=N0e-kt, where N0 is the initial amount…

Q: If A Supset of B then int(A)Supset of int(B)

A:

Q: Determine whether the given equation is separable, linear, neither, or both. dx - 5xt = 2 e* dt --…

A:

Q: b) 2f(x) 10. For the following functions, identify all asymptotes. (Vertical asymptotes and…

A:

Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2*, y =…

A:

Q: . There are seven finalists for the Math contest, and medáls Will be giv many ways are there for the…

A: The act of organizing items or numbers in order is known as permutation. Combinations are a method…

Q: Problem 5. x10(0) + 2x4 + x40(0) no(0) + 2(x2 + x3 + x4) provide an expression for 0(k+1) based on…

A: We will use the basic knowledge of sequences and limits to answer this question completely and…

Q: z.)

A:

Q: 2. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction…

A:

Q: 0.2+ 25x+ 3x2) dx

A: Simpson's 13 rule: ∫abdx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn)   Simpson's 38 rule:…

Q: 4(sinh x) 5. Evaluate Só- dx V1+x?

A:

Q: Question 2 Find the solution of the partial differential equation +4. = 0 if the boundary conditions…

A: Given, partial differential equation  ∂2u∂x2+4∂2u∂y2=0 With boundary conditions  u0,y=0 and uL,y=0…

Q: Consider the following two ordered bases of R³: {(-2, –1, 1), (2, 2, –1), (3, 3, –2)}, {(-2,1, 1),…

A:

Q: 19. What is the graph of a qua A. Straight Line B. Hyperbola @ Pa D. Sinusoidal ob i2 bol 20. How…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 3 Draw a graph which has the following adjacency matrix, or explain why no such graph exists. [1 1…

A:

Q: What is the value of the following expression in Polish notation: +* 34-12 3/42 (note: all number.…

A: Given: +*+34-12-3/42

Q: for Define a sequence xn recursively by the rules x1 = 2, x2 = 6, and xn = 3xn-1 – 2xn-2 30, and so…

A: We use strong induction. The detailed answer is presented in typeset form below.