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Question: Find the area under the curve y = x^2 from x = 1 to x = 3.Options: 8/310/39/37/3Correct An..
Question: Evaluate the limit: lim (x -> ∞) (2x^2 + 3)/(5x^2 - 4x + 1)Options: 2/53/51/2InfinityCorre..
Question: Find the derivative of f(x) = x^3 - 3x^2 + 4x - 5.Options: 3x^2 - 6x + 43x^2 - 3x + 43x^2 ..
Question: For the quadratic equation x^2 - 6x + k = 0 to have equal roots, what must be the value of..
Question: The quadratic equation x^2 + px + q = 0 has roots 3 and -2. What is the value of p?Options..
Question: Find the value of k for which the roots of the equation x^2 - kx + 9 = 0 are real and dist..
Question: What is the sum of the roots of the equation 2x^2 - 3x + 1 = 0?Options: 13/232Correct Answ..
Question: If the roots of the equation x^2 - kx + 8 = 0 are equal, what is the value of k?Options: 4..
Question: In how many ways can 4 different prizes be distributed among 3 students?Options: 81642712C..
Question: How many ways can 5 different letters be selected from the alphabet?Options: 263003156120C..
Question: How many different ways can 3 red, 2 blue, and 1 green balls be arranged in a line?Options..
Question: If sin^(-1)(x) = π/4, what is the value of x?Options: 1/2√2/210Correct Answer: √2/2Solutio..
Question: What is the value of tan^(-1)(1) + tan^(-1)(2)?Options: π/4π/3π/2π/6Correct Answer: π/4Sol..
Question: What is the electron configuration of the element with atomic number 30?Options: [Ar] 4s2 ..
Question: Determine the value of \\( k \\) such that \\( \\begin{vmatrix} 1 & 2 & 3 \\\\ 4 & 5 & 6 \..
Question: If z = 2 + 2i, find the argument of z.Options: π/4π/23π/40Correct Answer: π/4Solution: The..
Question: If z = 1 + i, find the conjugate of z.Options: 1 - i1 + i-1 + i-1 - iCorrect Answer: 1 - i..
Question: What is the value of |z| if z = 4e^(iπ/3)?Options: 4821Correct Answer: 4Solution: The modu..
Question: If z = x + yi, find the real part of z^3.Options: x^3 - 3xy^23x^2y - y^3x^3 + 3xy^23x^2 - ..
Question: If z = a + bi is a complex number such that |z| = 10, what is the equation relating a and ..
Question: Find the coefficient of x^5 in the expansion of (x - 3)^7.Options: -1890-2187-2401-2430Cor..
Question: In the expansion of (x + 2)^5, what is the coefficient of x^3?Options: 406080100Correct An..
Question: What is the coefficient of x^4 in the expansion of (2x + 3)^6?Options: 540720810960Correct..
Question: If the expansion of (x + a)^n has a term 15x^3a^2, what is the value of n?Options: 5678Cor..
Question: If 2x + 3y = 12 and x + 2y = 10, what is the value of x?Options: 2345Correct Answer: 4Solu..
Question: Find the value of k if the equation x^2 + kx + 16 = 0 has no real roots.Options: -8-448Cor..
Question: What is the sum of the roots of the equation x^2 - 4x + 3 = 0?Options: 1234Correct Answer:..
Question: Calculate the determinant of the matrix [[1, 2], [3, 4]].Options: -2204Correct Answer: -2S..
Question: Find the roots of the equation x^2 + 4x + 4 = 0.Options: -2204Correct Answer: -2Solution: ..
Question: If f(x) = x^3 - 3x + 2, find f\'(1).Options: 0123Correct Answer: 0Solution: f\'(x) = 3x^2 ..
