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Question: What is the general form of the family of curves represented by y^2 = 4ax?Options: Parabol..
Question: Find the family of curves represented by the equation y = mx + c, where m and c are consta..
Question: Find the length of the line segment joining the points (-1, -1) and (2, 3).Options: 5436Co..
Question: What is the equation of the circle with center (2, -3) and radius 5?Options: (x-2)² + (y+3..
Question: The coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), and (3, 6) a..
Question: If the points (1, 2), (3, 4), and (5, 6) are collinear, what is the slope of the line?Opti..
Question: What is the slope of the line represented by the equation 2x - 3y + 6 = 0?Options: 2/33/2-..
Question: Find the area of the triangle formed by the points (0, 0), (4, 0), and (0, 3).Options: 612..
Question: The equation of the line passing through (1, 2) and (3, 6) is:Options: y = 2xy = 3x - 1y =..
Question: What is the midpoint of the line segment joining the points (2, 3) and (4, 7)?Options: (3,..
Question: Find the distance between the points (3, 4) and (7, 1).Options: 5436Correct Answer: 5Solut..
Question: Evaluate the limit: lim (x -> 0) (x^2 * sin(1/x))Options: 01InfinityUndefinedCorrect Answe..
Question: Find the limit: lim (x -> 0) (cos(x) - 1)/x^2Options: 0-1/21InfinityCorrect Answer: -1/2So..
Question: Calculate the limit: lim (x -> 1) (x^2 - 1)/(x - 1)^2Options: 012UndefinedCorrect Answer: ..
Question: Evaluate the limit: lim (x -> 0) (tan(3x)/x)Options: 031InfinityCorrect Answer: 3Solution:..
Question: Find the limit: lim (x -> ∞) (3x^2 + 2)/(5x^2 - 4)Options: 03/51InfinityCorrect Answer: 3/..
Question: Calculate the limit: lim (x -> 0) (e^x - 1)/xOptions: 01InfinityUndefinedCorrect Answer: 1..
Question: Find the limit: lim (x -> 2) (x^2 - 4)/(x - 2)Options: 024UndefinedCorrect Answer: 4Soluti..
Question: Evaluate the limit: lim (x -> 0) (sin(5x)/x)Options: 051InfinityCorrect Answer: 5Solution:..
Question: Determine if the function f(x) = x^3 - 3x + 2 is differentiable at x = 1.Options: YesNoOnl..
Question: Find the derivative of f(x) = tan(x) at x = π/4.Options: 12√20Correct Answer: 1Solution: f..
Question: Is the function f(x) = x^2 - 2x + 1 differentiable at x = 1?Options: YesNoOnly from the le..
Question: Find the derivative of f(x) = ln(x^2 + 1) at x = 1.Options: 011/21/3Correct Answer: 1Solut..
Question: Determine the points where the function f(x) = x^4 - 4x^3 is not differentiable.Options: x..
Question: Find the derivative of f(x) = e^(2x) at x = 0.Options: 12e2eCorrect Answer: 2Solution: f\'..
Question: Is the function f(x) = x^2 sin(1/x) differentiable at x = 0?Options: YesNoOnly from the le..
Question: Find the value of k for which the function f(x) = kx^2 + 2x + 1 is differentiable at x = 0..
Question: Determine if the function f(x) = |x - 1| is differentiable at x = 1.Options: YesNoOnly fro..
Question: Find the derivative of f(x) = x^3 - 3x^2 + 4 at x = 2.Options: 681012Correct Answer: 8Solu..
Question: What is the purpose of normalization in databases?Options: To increase redundancyTo reduce..
