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Question: If the lines represented by the equation 3x^2 + 2xy - y^2 = 0 intersect at an angle of 60 ..
Question: What is the length of the diagonal of a rectangle with vertices at (0, 0), (0, 4), (3, 0),..
Question: What is the slope of the line represented by the equation 3x - 4y + 12 = 0?Options: 3/44/3..
Question: The equation of the line passing through the points (1, 2) and (3, 6) is:Options: y = 2xy ..
Question: What is the principal quantum number for the outermost electrons in a sodium atom?Options:..
Question: Which of the following orbitals can hold a maximum of 10 electrons?Options: spdfCorrect An..
Question: What is the ionization energy trend in the periodic table?Options: Increases down a groupD..
Question: Evaluate the limit: lim (x -> ∞) (2x^3 - 3x)/(4x^3 + 5)Options: 01/21∞Correct Answer: 1/2S..
Question: Find the limit: lim (x -> 1) (x^2 - 1)/(x - 1)^2Options: 012UndefinedCorrect Answer: 2Solu..
Question: Find the limit: lim (x -> 0) (e^x - 1)/xOptions: 01eUndefinedCorrect Answer: 1Solution: Us..
Question: Evaluate the limit: lim (x -> 0) (1 - cos(x))/(x^2)Options: 01/21UndefinedCorrect Answer: ..
Question: Find the limit: lim (x -> 1) (x^3 - 1)/(x - 1)Options: 0132Correct Answer: 3Solution: Fact..
Question: Solve the equation y\' = y(1 - y).Options: y = 1/(C - x)y = 1/(C + x)y = C/(1 + x)y = C/(1..
Question: Find the general solution of the equation y\'\' - 5y\' + 6y = 0.Options: y = C1 e^(2x) + C..
Question: What is the solution to the differential equation dy/dx = y^2?Options: y = 1/(C - x)y = C/..
Question: If f(x) = x^2 + 2x + 1, what is f\'(1)?Options: 2345Correct Answer: 3Solution: Calculating..
Question: For the function f(x) = x^2 - 4x + 4, find the point where it is not differentiable.Option..
Question: What is the derivative of f(x) = |x| at x = 0?Options: 01-1UndefinedCorrect Answer: Undefi..
Question: Find the derivative of f(x) = e^x * ln(x) at x = 1.Options: 10eln(e)Correct Answer: 1Solut..
Question: For which value of a is the function f(x) = x^2 + ax + 1 differentiable everywhere?Options..
Question: What is the derivative of f(x) = x^5 + 2x^3 - x?Options: 5x^4 + 6x^2 - 15x^4 + 6x^3 - 15x^..
Question: Calculate ∫ from 0 to 1 of (6x^2 - 4x + 1) dx.Options: 1234Correct Answer: 1Solution: The ..
Question: Find the value of ∫ from 0 to 1 of (x^4 + 2x^2) dx.Options: 1/51/31/21Correct Answer: 1/3S..
Question: Evaluate ∫ from 1 to 3 of (x^2 - 4) dx.Options: -2024Correct Answer: 2Solution: The integr..
Question: Calculate ∫ from 0 to 1 of (4x^3 - 2x^2 + x) dx.Options: 1/41/31/21Correct Answer: 1/2Solu..
Question: What value of a makes the function f(x) = { 2x + a, x < 3; 5, x = 3; x^2 - 1, x > 3 contin..
Question: Find the value of k such that the function f(x) = { kx, x < 0; x^2 + 1, x >= 0 is continuo..
Question: For what value of b is the function f(x) = { x^3 - 3x + b, x < 1; 2x + 1, x >= 1 continuou..
Question: Determine the value of p for which the function f(x) = { 3x - 1, x < 2; px + 4, x = 2; x^2..
Question: Find the value of m for which the function f(x) = { 2x + m, x < 1; x^2 + 1, x >= 1 is cont..
