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Question: If f(x) = x^4 - 8x^2 + 16, then the points of inflection are at:Options: x = 0x = ±2x = ±4..
Question: The equation of the tangent to the curve y = x^2 at the point (2, 4) is:Options: y = 2x - ..
Question: If f(x) = x^3 - 3x^2 + 4, then the local maxima and minima occur at which of the following..
Question: If the roots of the quadratic equation ax^2 + bx + c = 0 are 3 and -2, what is the value o..
Question: For the quadratic equation x^2 + 2x + 1 = 0, what is the nature of the roots?Options: Real..
Question: The quadratic equation x^2 - 3x + 2 = 0 can be factored as?Options: (x-1)(x-2)(x-2)(x-1)(x..
Question: What is the product of the roots of the equation 3x^2 + 6x + 2 = 0?Options: 2/31/31/21/6Co..
Question: If the roots of the quadratic equation x^2 + px + q = 0 are equal, what is the relationshi..
Question: In how many ways can 5 different items be selected from 10 items?Options: 252120200300Corr..
Question: Find the limit lim(x→∞) (1/x).Options: 01∞-∞Correct Answer: 0Solution: The limit is 0...
Question: What is the integral of f(x) = cos(x)?Options: sin(x) + C-sin(x) + Ctan(x) + Csec(x) + CCo..
Question: What is the value of the integral ∫(1 to 2) (x^2 + 2x)dx?Options: 7658Correct Answer: 7Sol..
Question: Evaluate the definite integral ∫(0 to 1) (3x^2)dx.Options: 10.50.330.25Correct Answer: 1So..
Question: If log_10(2) = a, what is log_10(20) in terms of a?Options: 2aa + 1a + 22 + aCorrect Answe..
Question: If the sum of the first n terms of an arithmetic series is given by S_n = 3n^2 + 2n, what ..
Question: In a sequence defined by a_n = 2^n, what is the 5th term?Options: 168324Correct Answer: 16..
Question: In transportation planning, what does the term \'level of service\' (LOS) indicate?Options..
Question: What is the significance of the \'design vehicle\' in highway geometric design?Options: It..
Question: Which geometric design element is critical for accommodating large vehicles at intersectio..
Question: What is the purpose of a sight distance analysis in geometric design?Options: To determine..
Question: What is the primary function of traffic signs in highway design?Options: To enhance aesthe..
Question: Which pavement material is known for its high durability and low maintenance?Options: Asph..
Question: What is the recommended maximum superelevation rate for highways in flat terrain?Options: ..
Question: Which factor is most critical when determining the design speed for a highway?Options: Tra..
Question: What is the primary purpose of horizontal alignment in highway geometric design?Options: T..
Question: Find the solution set for the inequality 2x + 3 < 5x - 1.Options: x < 4/3x > 4/3x < 2/3x >..
Question: What is the solution to the inequality 6x + 4 ≤ 2x + 16?Options: x ≤ 3x ≥ 3x ≤ 4x ≥ 4Corre..
Question: Solve the inequality 4x - 1 ≥ 3x + 2. What is the solution?Options: x ≥ 3x ≤ 3x ≥ 1x ≤ 1Co..
Question: The equation x^2 + 2x + 1 = 0 can be factored as:Options: (x + 1)(x + 1)(x - 1)(x - 1)(x +..
Question: If one root of the equation x^2 - 7x + k = 0 is 3, what is the value of k?Options: 691215C..
