Let f and g be functions from the positive integers to the positive integers defined by the equations 2 f(x) = 3x + 1, g(x) = x¯ + 2 h(x) = 7x – 3 Find the compositions a) g ° h (x) b) g °f (x)

Q: ADVANCE ENGINEERING MATHEMATICS: Answer the following with explanation What Mclaurin Series this fun...

A:

Q: 3. 4. a bcdefgh f gh a bcdefgh 8. 8. 8 8 7 7 7 7 6. 4 4 4 4 3 2 a b cde f gh a b c d gh 40 Copyright...

A: We have to give the position of white king for check .

Q: Given a universal set U for a set X , if AC X , then (U – X) n A = Ø

A: Given a universal set U for a set X and A⊆X We shall prove it by contradiction method. Let us assume...

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

A:

Q: 5) (x-i)y" + y' =0

A:

Q: p(1) Р(2) p(3) mation, and find ker (T). Recall that P3 is the space of all polynomials of degree at...

A:

Q: & Gier, Mamiten 3. - 2 -4 -6 12 15 3 -12 3 ID 2. ーC 4 6. 4 15 4x 5 5x3 No.of Column A No.of mws in B...

A:

Q: V Solve using method of undetermined coeficents (D³+GD°+ 12D + 8)y =o when x=0, y=1, y'=-2, y"

A:

Q: Determine whether each of the following statements is true. If true, prove it. If false, give a coun...

A:

Q: V Sove using variaton of parameters recuction of order or (D² - 2D+1) y = e*(e*+)*

A: Please find attachment for the details solution 

Q: n - Proposition 10. Let n and k be positive integers. Then k = n k k – 1

A: We will expand both sides then equate. 

Q: The equation H (t) = a cos (bt) + d can represent this scenario. Identity the values of a, b and d. ...

A: Transformations of sine and cosine function

Q: 2. Assume that x > -1. Prove that (1+ x)" >1+ nx for n = 0, 1, 2, .... %3D

A:

Q: Solve xy' (2y - 1) = y (1 - x)

A: Solve xy' (2y - 1) = y (1 - x)

Q: Proposition 7. Let a, b, c, d E Z and n be a positive integer. If a = b (mod n) andc = d (mod n), th...

A:

Q: Give the Maclaurin series expansion of f(x) = ln(3 − 2x). Determine its interval of convergence. App...

A:

Q: Choi Home Repair needs to accumulate $22,000 in 6 years to purchase new equipment. What sinking fund...

A:

Q: (4.4) (a) Find the roots of z – 1 (b) Find in standard forms, the cube roots of 8 – 8i (c) Let w = 1...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Transform the given system into a single equation of second-order x = -8x1+ 5x2 x2 = -5x1 – 8x2. The...

A:

Q: Draw a line to show how white can escape from check. Don't forget: move, block or capture! 1. 2. a b...

A: Draw a line to show to how white can escape from check .Don’t forget:move,block or capture 

Q: 5a+2b 3. Decide whether the set of all vectors of the form is a subspace of R³ or

A:

Q: 5a+2b 3. Decide whether the set of all vectors of the form is a subspace of R³ or

A:

Q: In a mechanical system, acceleration a, velocity v, and distance S, are related by the simultaneous ...

A:

Q: (-1)"+l2nx" n² +3 +12nx" 2 n=1

A:

Q: 1. Find the Fourier transform of f(t) defined by: 0 t<0 e-6t t20 f(t A. (6- jw)/(36+ w^2) B. (6 + ja...

A: Fourier transform of the pice wise function

Q: 6+ -0 -3 -4 The plot above is created with the parametric equations S¤(t) = a cos(bt) l y(t) = c sin...

A:

Q: A transportation survey of 500 college students (universal set U) generated the following data: 291 ...

A: Given:Total number of students involved in the survey, n(U)=500Number of students who own a motorcyc...

Q: 8) Find the parametricequation of the Line passes through p(2, 13to 3x+y-22 =5 and perpendicularof 4...

A:

Q: o sets are equal if and only if A=B b. ACB and BCA c. AcB and BCA d. ACB and BCA а.

A:

Q: 5. Provide a derivation for the following argument. You may use either basic or derived rules. Hint:...

A:

Q: Using theorem or tedt. Justify whether is on ergent given ecries a divergent or too -3

A:

Q: 10. X 20 30 40 50 P(X) 0.05 0.35 0.4 0.2 11. X 1 3 4 P(X) 0.4 0.3 0.2 1 12. X 3 7 9. 12 14 P(X) 4 13...

A:

Q: Problem 1. Give an example of a normed space E and a convex function o : E→R such that y is not lowe...

A:

Q: Find the derivative of the function by quotient rule. f(x) = 3x+7 5х-2

A: Use the quotient rule to differentiate the given function as in next step.

Q: If we multiply a row in a matrix A by a real number r, JAl changes in r.

A:

Q: What is the definition of z'? Show that if one value of z' is real, then all other values are real. ...

A:

Q: 4. Use Laplace transforms to solve the following initial value problems. d?x "+2+4x = 0, x(0)=0 , x'...

A:

Q: Proposition 11. Let ao = -1, a1 = 1 and a, = 7an-1– 10an-2 for integers n > 2. Then the closed form ...

A:

Q: Solve y'- 8ry = 2r. We will first find the solution y1 to the complementary equation, and then use v...

A:

Q: The simple solid Q, drawn in the first octant and generated by the surfaces I = (y – 3)2 +1 42 + 3r ...

A:

Q: If z= r +y, I= e' cos(s) and y= e' sin(s), then %3D 8z as at (t, s) = (1,0) is O-2e O 4e O 2e? 2e

A:

Q: VI. Give the Maclaurin series expansion of f(1) = In(3 – 21). Determine its interval of convergence....

A:

Q: Question 6 i P Consider a room in the shape of a 4 m cube, 4 meters on each side. A bug at point P w...

A: We need  to find shortest distance between two diagonally opposite corners of the cube .(along the s...

Q: I. Consider an = V4n² + 3n – 2n for n >1. 1. Determine if {an}-1 is convergent or divergent. 2. Is >...

A: Simplify the expression of an. Multiply and divide the given expression of an by 4n2+3n+2n to simpli...

Q: -5t Find the general solution of the differential equation: y' 4y e Use lower case c for the constan...

A: Linear differential equation

Q: Prove the following logical equivalence by using a sequence of justified logical equivalences (indic...

A:

Q: 1. Prove algebraically that for any sets X and Y, we have Y – (Y – X) = X nY.

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Prove that for any integer n, we have n - 2 is not divisible by 4.

A:

Q: Q.2 Find the vertex point and show in graph: y=2x-4x+4

A: The given equation is a quadratic equation and as we know  that every quadratic equation forms a par...

Q: 3pi Find the value of tan, - 2i, ( 4 一 13 j1490 355 1491 13 355 1490 13 355 1490 1491 13 355 1490

A: