(1) Which interval is the real number t in such that A = -1 0 4 2t 0 2t 4 is positive definite?

Q: Let a = 3/2 + 34. (a) Compute a³ and write it in the form pa + q where p and q are integers. Use…

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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: 4. Show that Archimedean Principle is a consequence of the assertions that every interval (a, b)…

A: To prove that the Archimedean Principle is a consequence of the assertions that every interval a, b…

Q: A8. (a) State (without proof) the Intermediate Value Theorem. (b) Use the Intermediate Value Theorem…

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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: where a, b, c are nonzero real numbers such that 6² – ac = 0. Show that if we let r = and y = t,…

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Q: Prove that if |x-1| < 1, then x² - 2x + 5| < 8.

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Q: ind the interval in the real number line which equals 1 U [4+, 20- n n=1 n

A: Answer given below.

Q: (a) Show that if a > 0, then 1/a> 0 and 1/(1/a) = a. (b) Show that if a <b, then a < (a+b) < b.

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Q: {x|x is all real numbers}

A: Given: {x|x is all real numbers}