Hallar a de modo que h sea continua para todo ax²-x, x≤-1 ax - 5, x>-1 h(x) =m Envie sus comput X real.

Q: Prove: Let a > 0 and b > 0 then either a > 0 and b > 0 or a < 0 and b < 0. where a…

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Q: 1. Find the Laplace transform of the function f(t) = eat[a cos(Bt) + b sin(3t)].

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Q: Prove the following theorem using direct proof 1. For every pair of positive real numbers x and y,…

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Q: Prove that 2 1 1 5 2 (4-2x)² for all relevant x-values

A: Given is a expression  1215-x>24-2x2. It is required to prove the given expression for all…

Q: Let f(x) = Ax² + Bx + C where A, B and C are real numbers. Prove that if f(x) is an integer whenever…

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Q: Prove that for all positive real a we have 22 +5 20x4 2 4/5. 24 x2 +5

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Q: Let A = {x € R : x < a} and B={x €R: x < b}, where a and b are real numbers. Show that sup(A+ B) =…

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Q: The numerical value of xe dr is

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: show that |z3|  ≠ |z4|  it is verified that |z1+z2/z3+z4|  ≤ |z1|+|z2|/|z3|-|z4|

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Q: 1 1. -to prove that x+y|# | x|+ | y| for all real numbers d) Use x = and y = %3D x and y.

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Q: Prove or disprove that ⌈x + y⌉ = ⌈x⌉ + ⌈y⌉ for all real numbers x and y.

A: According to the given information, It is required to prove or disprove that:

Q: 2. Find the Laplace transform of the function g(t) = (1+t+t + t³ + + tm-1 +tm)et.

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Q: 4. Find all real values of x such that |x-1| > |x+1]. * (-00,-1] (-00,0) [-1,0) [-1,1) None of the…

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Q: Let à =. Find |ā|.

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Q: Show that if x,y,z,w are real numbers such that x < y and z ≤w, then x + z < y + w.

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Q: a. 2 |x – 4|| х-1 b. x? + 2х — 12 1 х+1

A: a.  (1, 2] and [3, (5+√17)/2]         b.  (-1-√13 , -1+√13)

Q: x+ Find x such fhat HAI 10

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Q: Which of the following statement is always false? (a) For all integer x, [x] = [-x] (b) For all odd…

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Q: Let a, be such that asb. Prove that tx Eqt ax cbx

A: Concept: We have a,b∈Q means that a, and b belongs to the rational numbers and a&lt;b means that a…

Q: Suppose X₁ ~ N(6, 1) and X₂ ~ N(7,2), and X₁ is independent of X₂. Find P(X₁ < X₂) and P(X₁ < X₂ +…

A: We know linear combination of normal distribution is also a normal distribution. Therefore any…

Q: The set of all real numbers x for which x24x+2+x>0 is

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Q: Show that if AB={0}, then P(A)≤P(B).

A: Given that

Q: (-1)"+1 1- 2n Given the set A = The infimum of A is

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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)

Q: Let|a| = 32, the number of right cosets of (a²) in is:

A: Given          |a| = 32 Then, &lt;a&gt; = { a , a2 , a3 ,  .  .  .  , a32 = e } ,  where e =…