Search
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..
Question: Which component of a DBMS is responsible for managing data storage?Options: Query Processo..
Question: Which indexing method allows for faster retrieval of data?Options: Sequential IndexingHash..
Question: What is the purpose of a transaction in a DBMS?Options: To store dataTo ensure data integr..
Question: What SQL command is used to retrieve data from a database?Options: SELECTGETFETCHRETRIEVEC..
Question: Find the derivative of f(x) = 1/x.Options: -1/x^21/x^2-2/x^21/xCorrect Answer: -1/x^2Solut..
Question: What is the derivative of f(x) = x^2 * e^x?Options: e^x(2x + x^2)e^x(2x)e^x(x^2 + 2)e^x(x^..
Question: Find the derivative of f(x) = 5x^4 - 3x + 2.Options: 20x^3 - 315x^3 - 320x^4 - 35x^3 - 3Co..
Question: What is the derivative of f(x) = tan(x)?Options: sec^2(x)csc^2(x)sec(x)tan^2(x)Correct Ans..
Question: Find the derivative of f(x) = x^3 - 4x^2 + 6x.Options: 3x^2 - 8x + 63x^2 - 4x + 63x^2 - 8x..
Question: What is the derivative of f(x) = ln(x^2 + 1)?Options: 2x/(x^2 + 1)1/(x^2 + 1)2/(x^2 + 1)x/..
Question: Find the derivative of f(x) = e^(2x).Options: 2e^(2x)e^(2x)2xe^(2x)e^(x)Correct Answer: 2e..
Question: What is the derivative of f(x) = sin(x) + cos(x)?Options: cos(x) - sin(x)-sin(x) - cos(x)s..
