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Question: What is the equation of the tangent line to the curve y = x^2 + 2x at the point (1, 3)?Opt..
Question: Determine the local maxima and minima of f(x) = x^3 - 3x.Options: Maxima at (1, -2)Minima ..
Question: Find the maximum value of f(x) = -x^2 + 4x + 1.Options: 5678Correct Answer: 5Solution: The..
Question: For the function f(x) = x^2 - 4x + 5, find the vertex.Options: (2, 1)(2, 5)(4, 1)(4, 5)Cor..
Question: If f(x) = x^3 - 6x^2 + 9x, find the critical points.Options: (0, 0)(3, 0)(2, 0)(1, 0)Corre..
Question: Find the minimum value of the function f(x) = 3x^2 - 12x + 7.Options: -5102Correct Answer:..
Question: What is the equation of the tangent line to the curve y = x^2 + 2x at the point where x = ..
Question: For the function f(x) = x^4 - 8x^2 + 16, find the coordinates of the inflection point.Opti..
Question: Determine the point at which the function f(x) = x^3 - 3x^2 + 4 has a local minimum.Option..
Question: Find the maximum value of the function f(x) = -2x^2 + 8x - 3.Options: 38126Correct Answer:..
Question: Evaluate the integral: ∫ (1/(x^2 + 1)) dxOptions: tan^(-1)(x) + Csin^(-1)(x) + Clnx+ Ccos^..
Question: Determine the critical points of f(x) = x^3 - 3x + 2.Options: -1, 10, 21, -22, -1Correct A..
Question: Find the second derivative of f(x) = x^4 - 4x^3 + 6x^2.Options: 12x - 2412x^2 - 2424x - 12..
Question: Find the maximum value of f(x) = -x^2 + 4x.Options: 48610Correct Answer: 4Solution: The ve..
Question: What is the second derivative of f(x) = x^4 - 4x^3 + 6x^2?Options: 12x - 1212x - 812x - 61..
Question: Evaluate the limit: lim (x -> ∞) (3x^2 + 2)/(5x^2 - 4)Options: 3/501InfinityCorrect Answer..
Question: Determine the critical points of f(x) = x^3 - 3x^2 + 4.Options: (0, 4)(1, 2)(2, 1)(3, 0)Co..
Question: Find the area under the curve y = x^2 from x = 0 to x = 3.Options: 9182736Correct Answer: ..
Question: What is the value of the derivative of f(x) = ln(x^2 + 1) at x = 1?Options: 01/211/3Correc..
Question: Find the derivative of f(x) = x^2 * e^x.Options: e^x(x^2 + 2x)e^x(x^2 - 2x)2xe^xx^2e^xCorr..
Question: Evaluate the integral: ∫ (2x^3 - 3x^2 + 4) dxOptions: (1/2)x^4 - x^3 + 4x + C(1/4)x^4 - (1..
Question: Find the limit: lim (x -> 0) (sin(5x)/x)Options: 051InfinityCorrect Answer: 5Solution: Usi..
Question: If the quadratic equation x^2 + mx + n = 0 has roots 1 and -3, what is the value of n?Opti..
Question: For which value of k does the equation x^2 - 4x + k = 0 have roots that differ by 2?Option..
Question: The sum of the roots of the quadratic equation 3x^2 - 12x + 9 = 0 is equal to what?Options..
Question: If the quadratic equation x^2 + 2x + k = 0 has roots that are equal, what is the value of ..
Question: If the quadratic equation x^2 + mx + n = 0 has roots 1 and -3, what is the value of m?Opti..
Question: For the quadratic equation x^2 + 6x + 8 = 0, what are the roots?Options: -2 and -4-4 and -..
Question: The sum of the roots of the quadratic equation 3x^2 - 12x + 9 = 0 is:Options: 3426Correct ..
Question: If the quadratic equation x^2 + 2x + k = 0 has equal roots, what is the value of k?Options..
