Suppose that f is continuous on R and that f(x) = 0 whenever a is rational. Prove that f(x) = 0 for all x € R.

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Q: J(2cot 2x² - 2e²) dx A. 3⁄cot 2x³ + 2e² + C B./cot 2x³ - 2e³ + C C. 2 cot 2x³ - 2e²+ C 2 D. /cot 3x³…

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Q: Q18) IF the Saccheri quadrilateral (m180 (BAD)=85) ABCD is equivalent to the triangle EFG (m180…

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Q: Maximize f(x₁, x₂) = x₁ + x2 use of simplex method and it subject to: X₁ + 2x₂ ≤ 10 2x₁ + x₂ ≤ 10 x₂…

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Q: 2. Use the tables to find the inverse z transforms of the following a. m Z z+4

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Q: 3.- ] Check that each given function is the solution to the initial value problem. y'(0)=2, y(t) =…

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Q: = A= putting A = (-1). 5 -2 -5 1 a= 3, 5 -2 -5 1 a b C d 3 5 7 d b= 5, C= 7, d=l -2 7 1 2 12 -3 d 1…

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Q: A derivative in Leibniz notation is written as a fraction of differentials. A True B) False

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Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              =&gt; k(15 - 13) = 2k for any integer k              =&gt; 15 k -…