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Consider the following amplitude modulated signal

Q. Consider the following amplitude modulated signal: 𝑠(𝑡) = cos(2000 𝜋𝑡) + 4 cos(2400 𝜋𝑡) + cos(2800 𝜋𝑡). The ratio (accurate to three decimal places) of the power of the message signal to the power of the carrier signal is   Ans: 0.125

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Let M be a real 4×4 matrix. Consider the following statements

Q. Let M be a real 4×4 matrix. Consider the following statements: S1: M has 4 linearly independent eigenvectors. S2: M has 4 distinct eigenvalues. S3: M is non-singular (invertible). Which one among the following is TRUE? (A) S1 implies S2                                          ...

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A function 𝐹(𝐴, 𝐵, 𝐶) defined by three Boolean variables A, B and C when expressed as sum of products is given by

Q. A function 𝐹(𝐴, 𝐵, 𝐶) defined by three Boolean variables A, B and C when expressed as sum of products is given by 𝐹 = 𝐴̅ ⋅ 𝐵̅ ⋅ 𝐶̅ + 𝐴̅ ⋅ 𝐵 ⋅ 𝐶̅ + 𝐴 ⋅ 𝐵̅ ⋅ 𝐶̅ where, 𝐴̅, 𝐵̅, and 𝐶̅ are the complements of the respective variables. The product of sums (POS) form of the function F is (A) ...

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Consider 𝑝(𝑠) = 𝑠3 + 𝑎2𝑠2 + 𝑎1𝑠 + 𝑎0 with all real coefficients It is known that its derivative 𝑝′(𝑠) has no real roots

Q. Consider 𝑝(𝑠) = 𝑠3 + 𝑎2𝑠2 + 𝑎1𝑠 + 𝑎0 with all real coefficients. It is known that its derivative 𝑝′(𝑠) has no real roots. The number of real roots of 𝑝(𝑠) is (A) 0                          (B) 1                          (C) 2                          (D) 3 Ans: 1 Sol: Given p(s) = ...

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