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Question: Evaluate the limit: lim (x -> 0) (x^2)/(sin(x))Options: 01InfinityUndefinedCorrect Answer:..
Question: Calculate the limit: lim (x -> 1) (x^2 - 1)/(x - 1)Options: 012UndefinedCorrect Answer: 2S..
Question: Calculate ∫ from 0 to 1 of (x^2 + 4x + 4) dx.Options: 3456Correct Answer: 5Solution: The i..
Question: Find the value of ∫ from 0 to 1 of (1 - x^2) dx.Options: 1/31/22/31Correct Answer: 2/3Solu..
Question: What is the primary goal of transportation planning?Options: To maximize vehicle speedTo m..
Question: Which of the following materials is commonly used for the base layer in flexible pavement?..
Question: What is the purpose of a roundabout in traffic engineering?Options: To increase traffic sp..
Question: Which geometric design element is critical for ensuring visibility at intersections?Option..
Question: Which type of pavement is known for its flexibility and ability to withstand temperature c..
Question: What is the minimum horizontal curve radius for a design speed of 60 km/h according to AAS..
Question: Evaluate the integral ∫ cos(5x) dx.Options: 1/5 sin(5x) + C-1/5 sin(5x) + C5 sin(5x) + Csi..
Question: What is the value of k for which the function f(x) = { kx, x < 2; x^2, x >= 2 } is continu..
Question: Determine the continuity of f(x) = { x^2 - 1, x < 1; 3, x = 1; 2x, x > 1 } at x = 1.Option..
Question: If f(x) = { x^2, x < 0; 2x + 3, x >= 0 }, find f(0).Options: 031undefinedCorrect Answer: 3..
Question: For which value of a is the function f(x) = { x^2, x < 1; ax + 1, x >= 1 } continuous at x..
Question: Solve the differential equation y\'\' - 5y\' + 6y = 0.Options: y = C1 e^(2x) + C2 e^(3x)y ..
Question: What is the solution to the equation y\' = y(1 - y)?Options: y = 1/(C - x)y = C/(C + x)y =..
Question: Find the solution of the differential equation y\' = 2y + 3.Options: y = Ce^(2x) - 3/2y = ..
Question: What is the integrating factor for the equation dy/dx + 3y = 6x?Options: e^(3x)e^(-3x)e^(6..
Question: Solve the equation dy/dx = y^2 - x.Options: y = sqrt(x + C)y = x + Cy = 1/(C - x)y = x - C..
Question: What is the solution to the differential equation y\'\' + 4y = 0?Options: y = C1 cos(2x) +..
Question: Find the particular solution of dy/dx = x + y, given y(0) = 1.Options: y = e^x + 1y = e^x ..
Question: Solve the differential equation dy/dx + 2y = 4.Options: y = 2 - Ce^(-2x)y = 2 + Ce^(-2x)y ..
Question: For f(x) = { x^2, x < 1; 2x - 1, x ≥ 1 }, is f differentiable at x = 1?Options: YesNoOnly ..
Question: The function f(x) = x^2 - 4x + 4 is differentiable at x = 2?Options: YesNoOnly leftOnly ri..
Question: What is the minimum value of the function f(x) = 2x^2 - 8x + 10?Options: 2468Correct Answe..
Question: Find the value of k such that the function f(x) = x^2 + kx has a maximum at x = -2.Options..
Question: Determine the local maxima and minima of the function f(x) = x^3 - 6x^2 + 9x.Options: (0, ..
Question: Find the coordinates of the point on the curve y = x^3 - 3x + 2 where the tangent is horiz..
Question: For the function f(x) = 3x^3 - 12x^2 + 9, find the x-coordinates of the inflection points...
