Discrete Math Show that f(x) = 3x - 5 is a bijection

Q: 19. The 68-95-99.7 Rule. A set of test scores is normally distributed with a mean of 100 and a…

A: Note: As per instruction solving D-FGiven information,population mean = = 100Population standard…

Q: Evaluate the commutators of the operators (a) d/dx and 1/x, (b)d/dx and x2.

A: Given:  a)  ddx and 1x b) ddxand x2 To Find: Commutator of the operators

Q: 2. Find the critical numbers and the open intervals on which the function is increasing or…

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Q: Explain the Wronskian of 2 functions f and g ?

A: Let f and g are the two functions. The Wronskian of the n functions is the determinant of the matrix…

Q: What is the dimension of W = {p(x) E P3(R) : p(x) – xp' (x) = 1} %3D I|

A: This is not a subspace Because p(x) = 0 not belongs to W. As p(x) = 0 then p'(x) = 0 so that p(x) -…

Q: curl(curl F)= grad(div F) - 2F

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Q: Factor A into a product of elementary matrices. 1 2 A: 3 4

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Q: find all real such that 12x-11>x

A: The inequality can be calculated using absolute values. The absolute value function takes a positive…

Q: Consider the system Ax = b where A = [11] and b= [¹₂] A basis for the null space of A is given by…

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Q: evalnante the folobwing integrationollowing a fferent Path C I'm troid.cpathz pathi Re (3,-2) path3

A: Note:- For part (3) it is not clear that the term written with sint (or coefficient of sint ) is "I"…

Q: 17. Show that Z () = zlog

A: Z-tramsform

Q: 2 2 X = {K_EW : S" (Lu' (+)/² + 9 ª 14(+)1³)dt< =0} O why this is inner Product ?

A: Given: X=u∈W:∫0∞u't2+92ut2dt&lt;+∞   To explain: Why the given condition represents an inner…

Q: Calculate the commutators [p(hat)x3, x(hat)].

A: We have to calculate the following commutators. p^x3 , x^ Introduction: Commutation of operator A^…

Q: Inverse of the follwoing matrice

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Q: 5. Consider the following vectors in 3D: (1,2,3) & (-4,0,1). Determine a vector that is orthogonal…

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Q: mathmatics prove that f(x)=3x+1 is continuous in all points.

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Q: Utilice el teorema de Sandwich (emparedado) para demostrar que lim [x Envie sus computos a…

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Q: Identify the postulate for each drawing. 1. 2. 3.

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: evalicante the folining inregratio n , falliwing diffoit PathC Im to.). (3,!), parhz Pathe Re (3,-2)…

A: The given problem is to evaluate the complex integral over the given path z= 3+cos(t)+i sin(t) for t…

Q: Consider the system below. * = rx + y – x³ jy = -x + ry – 2y Chis system has a fixed point at (0,0).…

A: First we will calculate Jacobian matrix at the origin and then its eigenvalues. Then depending on…

Q: The gender pay gap reveals how much women are paid compared to men. The uncontrolled (or unadjusted)…

A: Uncontrolled Pay GapControlled Pay GapAsian women$0.97$1.02Native Hawaiin and other Pacific Islander…

Q: 2. Let A, B, C, and D be four groups such that A-C and B D. Show that A x B Cx D.

A: We will use the face that A isomorphic to C  and B isomorphic to D to prove the asked result.

Q: 3x +1 III.(10) Prove that the function f: R – {5} –> R – {3} defined by f(x) = is a bijection. x- 5

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Q: Let R→R be defined by g(x) 2y+1 2y+2 Is g bijective? Prove or give a counter example.

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Q: (2xy + 3x²)e +(x² – 2yz + 2y)e,y- (e² + y²)e, olan f(x, y,z)

A: Given

Q: Suppose f(x) = 4x2 8x-296. %3D (a) In which step does an error first occur in finding the zeros of…

A: We compare the equation f(x)=4x2 -8x - 296 with y=ax2+bx+c  So, a=4, b=-8 and c= -296    Using the…

Q: Find f (x) and simplify ) /(x) =5'+3r'+4e-2c b) a)%3(r'+3r+2r(2x a) c) /(x)=(4x-2r+ 7)

A: (a) Consider the given function fx=5+3x4+4ex-2ex-lnx7

Q: 7. Evaluate the integral x4 6x5 1 dx

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