Mathematic Modeling, Mathematics

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Prove that cos - sin = v2 sin , If cos?+sin? = √2 cos?, prove that cos? - ...

If cos?+sin? = √2 cos?, prove that cos? - sin? =  √2 sin ?. Ans:    Cos? + Sin? =  √2 Cos? ⇒ ( Cos? + Sin?) 2  = 2Cos 2 ? ⇒ Cos 2 ? + Sin 2 ?+2Cos? Sin? = 2Cos 2 ? ⇒

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The base of an isosceles triangle and the altitude drawn from one of the congruent sides are equal to 18cm and 15cm, respectively. Find the lengths of the sides of the triangle.

Fft algorithm, (a) Using interpolation, give a polynomial f ∈ F 11 [x] of d...

(a) Using interpolation, give a polynomial f ∈ F 11 [x] of degree at most 3 satisfying f(0) = 2; f(2) = 3; f(3) = 1; f(7) = 6 (b) What are all the polynomials in F 11 [x] which

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Function to convert a complex number in algebraic form, Go back to the com...

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digraph of r, Let R be the relation on S = {1, 3, 6, 9, 27} defined by aRb...

Let R be the relation on S = {1, 3, 6, 9, 27} defined by aRb iff a|b. (a) Write down the matrix of R. (b) Draw the digraph of R. (c) Explain whether R is reflexive, irrere

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