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Question: What is the range of the function f(x) = -x^2 + 4?Options: (-∞, 4][0, 4][4, ∞)(-∞, 0)Corre..
Question: Which of the following is a one-to-one function?Options: f(x) = x^2f(x) = 2x + 3f(x) = sin..
Question: Determine the equation of the line that passes through the points (0, 0) and (3, 9).Option..
Question: What is the slope of the line perpendicular to the line y = -3x + 4?Options: 1/3-1/33-3Cor..
Question: Determine the nature of the lines represented by the equation 7x^2 + 2xy + 3y^2 = 0.Option..
Question: For the lines represented by the equation 6x^2 + 5xy + y^2 = 0, what is the sum of the slo..
Question: Find the condition for the lines represented by the equation 2x^2 + 3xy + y^2 = 0 to be pa..
Question: If the lines represented by the equation 3x^2 + 4xy + 2y^2 = 0 intersect at the origin, wh..
Question: The pair of lines represented by the equation x^2 - 4x + y^2 - 6y + 9 = 0 are:Options: Par..
Question: Determine the family of curves represented by the equation x^2 - y^2 = c, where c is a con..
Question: What type of curves does the equation y = mx^3 + bx^2 + cx + d represent?Options: Linear f..
Question: What is the primary application of sodium hydroxide in industry?Options: Paper productionT..
Question: Which of the following salts is commonly used as a de-icing agent on roads?Options: Sodium..
Question: What is the function of phosphoric acid in soft drinks?Options: SweetenerPreservativeFlavo..
Question: Which of the following bases is commonly used in the production of soap?Options: Sodium hy..
Question: What is the primary use of acetic acid in the food industry?Options: Flavoring agentPreser..
Question: Which acid is used in the production of lead-acid batteries?Options: Sulfuric acidPhosphor..
Question: What is the role of citric acid in food preservation?Options: AntioxidantpH regulatorFlavo..
Question: Which of the following is a common application of hydrochloric acid?Options: Cleaning meta..
Question: What is the primary use of sodium bicarbonate in the food industry?Options: PreservativeLe..
Question: Which of the following acids is commonly used in the production of fertilizers?Options: Su..
Question: If the line 3x + 4y = 12 intersects the x-axis, what is the x-coordinate of the intersecti..
Question: The coordinates of the centroid of a triangle with vertices at (0, 0), (6, 0), and (3, 6) ..
Question: Find the equation of the circle with center (2, -3) and radius 5.Options: (x-2)² + (y+3)² ..
Question: Find the integral ∫ (x^2 - 1)/(x - 1) dx.Options: (1/3)x^3 - x + C(1/3)x^3 - x - 1 + C(1/3..
Question: Evaluate the integral ∫ cos(3x) dx.Options: (1/3)sin(3x) + Csin(3x) + C(1/3)cos(3x) + C-(1..
Question: Calculate the integral ∫ (x^2 + 2x + 1)/(x + 1) dx.Options: (1/3)x^3 + x^2 + Cx^2 + 2x + C..
Question: Find the integral ∫ (2x + 1)/(x^2 + x) dx.Options: lnx^2 + x+ Clnx+ Clnx^2 + x+ 1lnx+ 1Cor..
Question: Evaluate the integral ∫ (1/x) dx.Options: lnx+ Cln(x) + C1/x + Cx + CCorrect Answer: lnSol..
Question: Calculate the integral ∫ (x^3 - 4x) dx.Options: (1/4)x^4 - 2x^2 + C(1/4)x^4 - 2x^2(1/4)x^4..
