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Question: What is the distance between the points (3, 4) and (7, 1)?Options: 5436Correct Answer: 5So..
Question: Find the limit: lim (x -> 1) (x^2 - 1)/(x - 1)Options: 012UndefinedCorrect Answer: 2Soluti..
Question: Calculate the limit: lim (x -> 0) (tan(3x)/x)Options: 310InfinityCorrect Answer: 3Solution..
Question: Calculate the limit: lim (x -> 0) (1 - cos(x))/(x^2)Options: 01/21InfinityCorrect Answer: ..
Question: Which functional group is present in haloalkanes?Options: AlcoholAldehydeHalogenCarboxylic..
Question: What is the stereochemistry of the product formed from the reaction of (R)-2-bromobutane w..
Question: What is the product of the hydrolysis of chlorobenzene?Options: PhenolBenzeneChlorobenzene..
Question: Which of the following is a characteristic feature of haloarenes?Options: High reactivity ..
Question: What is the major product of the reaction between 2-bromobutane and potassium tert-butoxid..
Question: Which of the following is the correct mechanism for the reaction of 1-bromopropane with so..
Question: What type of reaction occurs when a haloalkane reacts with a nucleophile?Options: Eliminat..
Question: Which of the following compounds is a haloalkane?Options: C6H5ClC2H5BrC3H6OC4H10Correct An..
Question: What is the particular solution of the equation dy/dx = 2y with y(0) = 5?Options: y = 5e^(..
Question: What is the solution of the equation y\'\' - 4y\' + 4y = 0?Options: y = (C1 + C2x)e^(2x)y ..
Question: Find the general solution of the equation y\' = 3y + 2.Options: y = (C - 2/3)e^(3x)y = Ce^..
Question: Solve the first-order linear differential equation dy/dx + y/x = x.Options: y = x^2 + C/xy..
Question: What is the integrating factor for the equation dy/dx + 2y = 3x?Options: e^(2x)e^(-2x)e^(3..
Question: Find the solution of the differential equation y\'\' + 4y = 0.Options: y = C1 cos(2x) + C2..
Question: What is the particular solution of the equation dy/dx = 2y with the initial condition y(0)..
Question: Solve the differential equation dy/dx = x^2 + y^2.Options: y = x^3/3 + Cy = x^2 + Cy = x^2..
Question: What is the general solution of the differential equation dy/dx = 3y?Options: y = Ce^(3x)y..
Question: Which functional group is present in the compound CH3-CO-CH3?Options: KetoneAldehydeAlcoho..
Question: Which of the following is the correct IUPAC name for CH3-CH2-CH2-CHO?Options: ButanalPenta..
Question: What is the stereochemical configuration of 2-butene if the two methyl groups are on oppos..
Question: What is the correct IUPAC name for the compound with the structure CH3-CH(CH3)-CH2-COOH?Op..
Question: The function f(x) = x^2 - 2x + 1 is differentiable at all points?Options: TrueFalseOnly at..
Question: If f(x) = x^4 - 4x^3 + 6x^2, find f\'(2).Options: 0123Correct Answer: 0Solution: f\'(x) = ..
Question: The function f(x) = ln(x) is differentiable at x = 1?Options: YesNoOnly for x > 1Only for ..
Question: If f(x) = e^x, then f\'(0) is equal to?Options: 01ee^0Correct Answer: 1Solution: f\'(x) = ..
Question: The function f(x) = x^2 for x < 1 and f(x) = 2x - 1 for x ≥ 1 is differentiable at x = 1?O..
