Prove that: a) |sinx|<= |x| b) x = sin x has only one solution in real...

Prove that:

a) |sinx|<= |x|

b) x = sin x has only one solution in real number using mean value theorem

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milcah answered 1 year ago

prove that f(x)=x^2019 +x-1 has only one real root

Suppose that x is real number. Prove that x+1/x =2 if and only if x=1. Prove...

Suppose that x is real number. Prove that x+1/x =2 if and only if x=1. Prove that there does not exist a smallest positive real number. Is the result still true if we replace ”real number” with ”integer”? Suppose that x is a real number. Use either proof by contrapositive or proof by contradiction to show that x3 + 5x = 0 implies that x = 0.

a. Prove that y=sin(x) is a subspace of R^2 b. Prove that a set of 2x2...

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Prove or disprove the statements: (a) If x is a real number such that |x +...

Prove or disprove the statements: (a) If x is a real number such that |x + 2| + |x| ≤ 1, then x 2 + 2x − 1 ≤ 2. (b) If x is a real number such that |x + 2| + |x| ≤ 2, then x 2 + 2x − 1 ≤ 2. (c) If x is a real number such that |x + 2| + |x| ≤ 3, then x 2 + 2x − 1 ≤ 2....

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Prove that: a) |sinx|<= |x| b) x = sin x has only one solution in real...

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prove that f(x)=x^2019 +x-1 has only one real root

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