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Question: The quadratic equation x^2 + 6x + 9 = 0 has roots that are:Options: Real and equalReal and..
Question: If the sum of the roots of the equation x^2 - 3x + p = 0 is 3, what is the value of p?Opti..
Question: The value of tan^(-1)(√3) is:Options: π/3π/4π/6π/2Correct Answer: π/3Solution: tan^(-1)(√3..
Question: The value of sin^(-1)(-1) is:Options: -π/20π/2πCorrect Answer: -π/2Solution: sin^(-1)(-1) ..
Question: If cos^(-1)(x) = θ, then what is the value of sin(θ)?Options: x√(1-x^2)1-x0Correct Answer:..
Question: If tan^(-1)(x) = π/4, then the value of x is:Options: 01√22Correct Answer: 1Solution: tan^..
Question: The value of sin^(-1)(√3/2) is:Options: π/3π/6π/4π/2Correct Answer: π/3Solution: sin^(-1)(..
Question: What is the determinant of the matrix \\( \\begin{pmatrix} 1 & 2 & 1 \\\\ 0 & 1 & 0 \\\\ 2..
Question: Evaluate the determinant \\( \\begin{vmatrix} 1 & 0 & 0 \\\\ 0 & 1 & 0 \\\\ 0 & 0 & 1 \\en..
Question: If A = [[2, 0], [0, 3]], what is the eigenvalue of A?Options: 2305Correct Answer: 3Solutio..
Question: What is the trace of the matrix A = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?Options: 1518129Corr..
Question: If z = 2 + 2i, find the modulus of z.Options: 2√242√2Correct Answer: 2√2Solution: |z| = √(..
Question: What is the value of z if z^2 = -1?Options: i-i10Correct Answer: iSolution: The solutions ..
Question: If log_a(4) = 2 and log_a(16) = x, what is the value of x?Options: 24816Correct Answer: 4S..
Question: What is the coefficient of x^5 in the expansion of (x + 3)^8?Options: 1680144012601080Corr..
Question: In the expansion of (x + 1/x)^6, what is the coefficient of x^0?Options: 6152030Correct An..
Question: Find the coefficient of x^4 in the expansion of (3x - 2)^6.Options: 540720810960Correct An..
Question: In the expansion of (x + 2)^7, what is the term containing x^5?Options: 672672067200672000..
Question: What is the coefficient of x^2 in the expansion of (x - 4)^6?Options: 240360480720Correct ..
Question: What is the solution to the inequality 3x - 5 ≤ 4?Options: x ≤ 3x ≥ 3x < 3x > 3Correct Ans..
Question: If 7x + 1 ≥ 15, what is the value of x?Options: x ≥ 2x < 2x > 2x ≤ 2Correct Answer: x ≥ 2S..
Question: Which of the following represents the solution to the inequality 4 - x < 1?Options: x > 3x..
Question: What is the solution set for the inequality x/3 - 1 ≤ 2?Options: x ≤ 9x ≥ 9x < 9x > 9Corre..
Question: Solve the inequality -2x + 4 > 0. What is the solution?Options: x < 2x > 2x < -2x > -2Corr..
Question: If 5x - 7 < 3, what is the range of x?Options: x < 2x > 2x < 1x > 1Correct Answer: x < 2So..
Question: What is the value of x in the equation 5x - 3 = 2x + 6?Options: 1234Correct Answer: 2Solut..
Question: Which of the following conditions will lead to a spontaneous reaction?Options: ΔH > 0 and ..
Question: For a reaction with ΔH = 100 kJ and ΔS = 200 J/K, at what temperature will the reaction be..
Question: Which of the following reactions will have a negative ΔG at high temperatures?Options: Exo..
Question: If z = 1 + i, what is z^2?Options: 2i21 + 2i0Correct Answer: 1 + 2iSolution: z^2 = (1 + i)..
