How to prove the following: if A ⊂ image f then f(f -1(A)) = A.

Q: ∞ (a) Is Examples. Justify your answers briefly. B÷-1²1) n n+ n=1 plain your answer! conditionally…

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Q: Suppose that a group of order 8 has exactly five elements of order 2.Identify the group.

A: Abstract Algebra, Dihedral group

Q: If u = x²/(x² + y²), find ou/ox, du/dy.

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

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Q: y ey+sin(x) + x· eªy. dy dx 0

A: y.exy + sin(x) + x.exy.dydx= 0 Rearranging the terms: dydx+ yx= -sin(x)x.exy Integrating Facto: I.F.…

Q: a + 2b - c 3a + 4b 2a - 3c 56 Decide if you can compute the dimension of W using vector space…

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A: We have to find the particular solution of the differential equation…

Q: A. Write FALSE if the statement if TRUE and TRUE if it is FALSE. 1. The degree of the differential…

A: According to Bartleby guidelines we are supposed to solve only first 3 parts . Please  re upload…

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Q: (f) y-x=3+4y=4 when x = 1 dx dx

A: We have to find the particular solution of the following differential equation:…

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Q: Construct the difference table where: f(x) = ln x + sin x;x = 1(0.20)2.8, 4D, FDO

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: Determine the NATURAL cubic spline S(x) that interpolates the data f (1) = 1, f (2) = 1, and f (3) =…

A: given data x0=1 , x1=2 , x2=3 and fx0=1 , fx1=1 , fx2=0 spline polynomial will consist two cubics…

Q: 4. Find an equation of the tangent plane to the surface S defined by R(u, v) = (Inv, u²v, e-³-3) at…

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Q: Say that the function f(x) is x for -π < x < 0 and zero for 0 < x < π. Find the a0 coefficient for…

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Q: The table below shows the tons of material at a municipal waste site, t= 0 at the year 2000. 4 8 142…

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Q: 1 1 2 4 1 Determent if the Rre linearly independent or linear dependent. If It is linear dependent,…

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Q: Consider the distribution of the monthly sales of rain ponchos over a one-year period at a store in…

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Q: 3. Residential power consumption has shown certain trends over recent years. Based on date…

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Q: M In³ + (n + 1)³ > (n + 2)³ GEGECS

A: Let p(n) be the statement 'n3+(n+1)3&gt;(n+2)3'. 13+23=9 ≯27=33…

Q: 123 five to base nine

A: 123five   = (1×5^2)+(2×5)+(3×5^0) =25 +10 +3 =38

Q: 0-2 3 Given A= 1 7 4 3 5 9 [10 2 3 B-2 -1 3 6 [4 4 10 9 (1) (a) Find the transpose of B. symbol BT…

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Q: Compute p(x) the Taylor polynomial of degree 3 of the function f(x) = In(1 + ex) around x = 0. What…

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Q: Consider the following two diophantine equations. For each one, explain whether or not it has a…

A: Definition of solvability follows

Q: В.долие не а) 20x=16 год 64 5) 131× = 21 mod 77 following linear сондчиснете, 1 ?? У

A: (a) Given,            20x≡16(mod 64).

Q: the limit cannot be zero for part b?

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Q: 1 Use Laplace transforms to solve the initial value problems y"-6y + 5y = 29 cos 2t, y(0) = 3.2,…

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Q: 11.3.1. Use an eigenvalue decomposition to write the system re²(t) = [4 ]u(t) equivalent diagonal…

A: Given system is,  u'(t)=04-40u(t) First, let us find Eigen values and Eigenvectors of the matrix…

Q: Find [T], [T]G, and [T]. 8. Consider the following basis for R²: *-(8-8) {[ 3 Let T: R² R² be a…

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Q: Principal Rate (%) $145,000 14-1/2 14¹ Time 8 months SA Interest X LA Maturity Value X

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Q: A store sells two brands of camping chairs. The store pays $30 for each brand A chair and $10 for…

A: Given :- Brand A chair cost= $30 Brand B chair cost= $10 let p be selling price of brand A chair and…

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Q: How many integer solutions does the equation w+x+y+z= 100 have if w ≥ 4, x≥2, y≥0 and z ≥ 0?

A: We know The number of non-negative integral solutions of the equation x1+x2+........+xn=m is…

Q: Interactive: Dynamic Figure 2.6.4 J ........ TU 2 y EN T y = 1 y = sin y = cos sin(0) The dynamic…

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Q: Verify that the indicated function is an explicit solution of the given differential equation.…

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Q: 1 3cotx expression in terms of one function: 3tanx -

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Q: Q1. Find the Fourier Series in Trigonometric format (sine/cosine format). T 2. srs and f(t) has a…

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Q: Find the eigenvalues X₁ <A₂ and associated unit eigenvectors ₁, ₂ of the symmetric matrix A = 13 -21…

A: Given matrix is A=13-21-21-43 The characteristic equation of matrix A is |A-λI|=0…

Q: The NFL had a Fan Cost Index of $533.59 in 2017 and it was $536.04 in 2018. What was the percent of…

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Q: --5y4z = 14 -2x + 5y-6z = 9 +5 4x + 5y + 6z = -21

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Q: You deposit P dollars into an account that earns a nominal rate of i compounded semiannually. At the…

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Q: Subgroup of G. (b) Let G be an abelian group. Let T = {ge G: g = e for some positive integer n}.…

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Q: Find the general solution of the given differential equation. y'''-3y''+3y'-y=0 If using a…

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Q: That is not the answer to the question I asked. I asked for the solution CURVE...I need a graph

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Q: Show that A and AT have the same eigenvalues. Do they necessarily have the same eigenvectors?…

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Q: Use Lagrange multipliers to find the dimensions of the box with volume 1,728 cm3 that has minimal…

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Q: The function u(x, t) = exp(-x²) is a solution of the heat equation 4rt au au² 30-3422 at ax² Use…

A: Given the solution ux,t=14πtexp-x24t of the heat equation ∂u∂t=∂2u∂x2.

Q: Evaluate the limit. lim ||A||-0 Δ ο Σ. (x - x;) Δx, where i = 1 and Ax = - 1 n where x, = an n…

A: Given,               lim∆→0∑i=1nxi2-xi7∆x,  Where xi=1n and ∆x=1n.