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Question: Find the determinant of H = [[3, 1], [2, 5]]. (2021)Options: 7865Correct Answer: 7Solution..
Question: What is the determinant of G = [[1, 2], [2, 4]]? (2020)Options: 0124Correct Answer: 0Solut..
Question: If F = [[2, 1, 3], [1, 0, 2], [3, 4, 1]], find det(F). (2022)Options: -101005Correct Answe..
Question: For the matrix E = [[1, 2, 3], [0, 1, 4], [5, 6, 0]], find det(E). (2021)Options: -2424012..
Question: Calculate the determinant of D = [[4, 2], [1, 3]]. (2020)Options: 108612Correct Answer: 10..
Question: Find ∫ (6x^2 - 4) dx. (2019)Options: 2x^3 - 4x + C2x^3 - 2x + C2x^3 - 4 + C3x^3 - 4x + CCo..
Question: Evaluate ∫ (2x + 3) dx. (2022)Options: x^2 + 3x + Cx^2 + 3 + Cx^2 + 3x + 12x^2 + 3 + CCorr..
Question: Find ∫ (5x^4) dx. (2020)Options: x^5 + Cx^5 + 5Cx^5 + 15x^5 + CCorrect Answer: x^5 + CSolu..
Question: Find ∫ e^x dx. (2022)Options: e^x + Ce^xx e^x + Cln(e^x) + CCorrect Answer: e^x + CSolutio..
Question: Find the derivative of f(x) = x^5 - 3x^3 + 2. (2022)Options: 5x^4 - 9x^25x^4 + 9x^23x^2 - ..
Question: If z = 5 + 12i, what is the argument of z? (2022)Options: arctan(12/5)arctan(5/12)π/20Corr..
Question: What is the length of an arc of a circle with a radius of 5 cm and a central angle of 60 d..
Question: What is the coefficient of x^2 in the expansion of (x + 5)^4?Options: 50100150200Correct A..
Question: Find the term containing x^3 in the expansion of (x - 1)^5.Options: -510-105Correct Answer..
Question: Find the coefficient of x^4 in the expansion of (2x - 3)^6.Options: 540720810900Correct An..
Question: Calculate the term independent of x in the expansion of (x/2 - 3)^6.Options: 729729/64729/..
Question: Determine the intervals where f(x) = -x^2 + 4x is concave up. (2023)Options: (-∞, 0)(0, 2)..
Question: For the function f(x) = 3x^2 - 12x + 9, find the vertex. (2021)Options: (2, 3)(3, 0)(0, 9)..
Question: Find the maximum height of the projectile modeled by h(t) = -16t^2 + 64t + 48. (2020)Optio..
Question: What is the slope of the tangent line to f(x) = x^2 + 2x at x = 1? (2023)Options: 2345Corr..
Question: Find the point of inflection for f(x) = x^3 - 6x^2 + 9x. (2022)Options: (1, 4)(2, 3)(3, 0)..
Question: What is the minimum value of f(x) = x^2 - 6x + 10? (2020)Options: 46108Correct Answer: 4So..
Question: Determine the intervals where f(x) = x^4 - 4x^3 has increasing behavior. (2023)Options: (-..
Question: Find the area of the triangle formed by the points A(1, 2, 3), B(4, 5, 6), and C(7, 8, 9)...
Question: What is the distance between the parallel planes 2x + 3y - z = 5 and 2x + 3y - z = 10? (20..
Question: What is the area of a circle with radius 7? (2022)Options: 154144160150Correct Answer: 154..
Question: Which of the following statements is true for an isochoric process? (2023)Options: Volume ..
Question: In a closed system, if 100 J of heat is added and 40 J of work is done by the system, what..
Question: What happens to the temperature of a gas during an isothermal expansion? (2021)Options: In..
Question: In a Carnot engine, the efficiency depends on which of the following? (2023)Options: Tempe..
