9. For each of the following sets, determine whether 2 is an element of that set. a) {x ER|x is an integer greater than 1} b) {xRx is the square of an integer} c) {2,{2}} d) {{2},{{2}}} f) {{{2}}} e) {{2}, {2,{2}}}

Q: 10. (2 sin x + 3cos 2x)dx

A: As the policy of bartleby the provisions is to solve only one question at a time when

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Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: 27) (x- 1)(x + 1) s0 A) {1} B) [-1, 1] C) (-1, 1) D) (-, -1]U[1, 0)

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: 5. For ea three c and be a)

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

Q: 3. Let r be a real number. Prove by contrapositive that if r+4x <35, then z < 3.

A: Note: Proof by contrapositive: If we want to prove that "if A, then B". Then we use contrapositive…

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Q: FOR ANY TWOCOMPLEX NUMBERSZ, ANDZ,,PROVE THAT |Z|+|Z,|=,(Z, +Z,)+ /Z,Z» +÷(Z, +Z»)- Z,Z, .

A: for two complex number Z1 and Z2 prove that Z1+Z2=12Z1+Z2+Z1Z2+12Z1+Z2-Z1Z2

Q: 2. For all real numbers a, b and c, prove that if a <b <c then a+b+c a < 3 < C.

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Q: 2.11. Show your steps. a) Find all integers x such that 4x =11 9. b) Find all integers z such that…

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Q: 2. Definition. Let r be a non-negative positive real numbel A square root of r is the Iinique…

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A: We can solve the inequality in order to get the solution.

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Q: 1.) Does the following set of polynomials {t2 +1,t? +t,t + 1} span P2?

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Q: {x|x is a real number such that x² = : 1} {x|x is a positive integer less than 12} {x|x is the…

A: SOLUTION -(a)