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Question: What is the derivative of f(x) = sin(x) + cos(x)?Options: cos(x) - sin(x)-sin(x) - cos(x)s..
Question: Find the derivative of f(x) = 3x^2 + 5x - 7.Options: 6x + 53x + 56x - 53x^2 + 5Correct Ans..
Question: Calculate ∫ from 0 to 1 of (4x^3 - 3x^2 + 2x - 1) dx.Options: 0123Correct Answer: 1Solutio..
Question: Evaluate ∫ from 0 to 2 of (x^2 + 2x + 1) dx.Options: 4567Correct Answer: 6Solution: The in..
Question: Find the value of ∫ from 0 to 1 of (x^2 - 2x + 1) dx.Options: 0123Correct Answer: 0Solutio..
Question: Calculate ∫ from 0 to 1 of (2x^2 + 3x + 1) dx.Options: 1234Correct Answer: 3Solution: The ..
Question: Evaluate ∫ from 0 to 1 of (x^3 + 3x^2 + 3x + 1) dx.Options: 1234Correct Answer: 4Solution:..
Question: Find the value of ∫ from 0 to 1 of (x^4 - 4x^3 + 6x^2 - 4x + 1) dx.Options: 0123Correct An..
Question: Evaluate ∫ from 0 to 1 of e^x dx.Options: e - 1e10Correct Answer: e - 1Solution: The integ..
Question: Calculate ∫ from 0 to π of sin(x) dx.Options: 0123Correct Answer: 2Solution: The integral ..
Question: Find the value of ∫ from 1 to 2 of (3x^2 - 2x + 1) dx.Options: 3456Correct Answer: 5Soluti..
Question: Evaluate the integral ∫ from 0 to 1 of (x^2 + 2x) dx.Options: 1234Correct Answer: 2Solutio..
Question: Find the value of c such that the function f(x) = { x^2 + c, x < 2; 4, x >= 2 } is continu..
Question: Determine the continuity of f(x) = { 1/x, x != 0; 0, x = 0 } at x = 0.Options: ContinuousN..
Question: If f(x) = { x^2, x < 1; kx + 1, x >= 1 } is continuous at x = 1, find k.Options: 0123Corre..
Question: For which value of a is the function f(x) = { ax + 1, x < 0; 2x + a, x >= 0 } continuous a..
Question: What is the main goal of normalization?Options: To increase data redundancyTo eliminate da..
Question: Which of the following functions is continuous at x = 2? f(x) = { x^2 - 4, x < 2; 3x - 6, ..
Question: What is concurrency control in a DBMS?Options: Managing data redundancyEnsuring data consi..
Question: What does the term \'ACID\' stand for in database transactions?Options: Atomicity, Consist..
Question: In JDBC, which method is used to execute a SQL statement?Options: executeQuery()runQuery()..
Question: Which of the following is a characteristic of a relational database?Options: Data is store..
Question: What is the main purpose of concurrency control in a DBMS?Options: To prevent data lossTo ..
Question: Which SQL statement is used to create an index?Options: CREATE INDEXADD INDEXNEW INDEXINDE..
Question: Which of the following is NOT a type of normalization?Options: First Normal FormSecond Nor..
Question: What does JDBC stand for?Options: Java Database ConnectivityJava Data Base ConnectionJava ..
Question: Calculate the area under the curve y = x^4 from x = 0 to x = 2.Options: 481632Correct Answ..
Question: Find the area between the curves y = x^3 and y = x from x = 0 to x = 1.Options: 1/41/31/21..
Question: Determine the area enclosed by the curves y = x^2 and y = 4.Options: 8/3416/32Correct Answ..
Question: Which of the following is NOT a component of DBMS architecture?Options: Database EngineUse..
