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Question: Evaluate the integral ∫_0^1 (x^3 - 3x^2 + 3x - 1) dx.Options: 0123Correct Answer: 0Solutio..
Question: Calculate ∫_0^1 (e^x) dx.Options: e - 11e0Correct Answer: e - 1Solution: ∫_0^1 e^x dx = [e..
Question: Evaluate ∫_1^2 (3x^2 - 4x + 1) dx.Options: 0123Correct Answer: 1Solution: ∫_1^2 (3x^2 - 4x..
Question: If f(x) = { x^2, x < 3; k, x = 3; 3x - 2, x > 3 } is continuous at x = 3, what is k?Option..
Question: The function f(x) = { 2x + 3, x < 1; x^2 + 1, x >= 1 } is continuous at x = ?Options: 0123..
Question: Which of the following functions is continuous everywhere?Options: f(x) = 1/xf(x) = x^2f(x..
Question: If f(x) = { x^2, x < 2; 4, x = 2; 2x, x > 2 } is continuous at x = 2, what is the value of..
Question: The function f(x) = { x + 2, x < 1; 3, x = 1; x^2, x > 1 } is continuous at x = ?Options: ..
Question: Which of the following is not continuous at x = 0?Options: f(x) = x^3f(x) = e^xf(x) = 1/xf..
Question: If f(x) = { x^2 + 1, x < 0; k, x = 0; 2x + 1, x > 0 } is continuous at x = 0, what is k?Op..
Question: The function f(x) = { x^2, x < 1; 2x - 1, x >= 1 } is continuous at x = ?Options: 0123Corr..
Question: Find the area between the curves y = x^2 and y = 4 from x = -2 to x = 2.Options: 8/316/384..
Question: Calculate the area under the curve y = x^2 + 2x from x = 0 to x = 2.Options: 46810Correct ..
Question: What is the trend in electronegativity as you move down a group in the periodic table?Opti..
Question: What is the principal quantum number for the outermost electrons in a chlorine atom?Option..
Question: What is the critical point of f(x) = x^3 - 6x^2 + 9x?Options: 0123Correct Answer: 2Solutio..
Question: Evaluate the limit: lim (x -> 1) (x^2 - 1)/(x - 1)Options: 201InfinityCorrect Answer: 2Sol..
Question: What is the value of the integral ∫(1 to 2) (3x^2 - 2)dx?Options: 3456Correct Answer: 4Sol..
Question: Find the integral of f(x) = 2x + 3.Options: x^2 + 3x + Cx^2 + 3xx^2 + 32x^2 + 3x + CCorrec..
Question: If A = {x | x is a vowel} and B = {x | x is a consonant}, what is A ∩ B?Options: {a, e, i,..
Question: If A = {x | x is a multiple of 3} and B = {x | x is a multiple of 5}, what is A ∩ B?Option..
Question: If A = {1, 2, 3, 4} and B = {2, 4, 6, 8}, what is A ∪ B?Options: {1, 2, 3, 4, 6, 8}{2, 4}{..
Question: If A = {x | x is a letter in the word \'MATH\'} and B = {x | x is a letter in the word \'S..
Question: If A = {1, 2, 3} and B = {3, 4, 5}, what is A Δ B (symmetric difference)?Options: {1, 2}{4..
Question: If U = {1, 2, 3, 4, 5}, A = {1, 2}, and B = {2, 3}, what is A ∪ B?Options: {1, 2}{1, 2, 3}..
Question: If A = {x | x is an even integer} and B = {x | x is a prime number}, what is A ∩ B?Options..
Question: If the nth term of a sequence is given by a_n = n^2 + n, what is a_4?Options: 20241618Corr..
Question: What is the sum of the first 5 terms of the series 1, 1/2, 1/4, ...?Options: 1.5213Correct..
Question: In a sequence defined by a_n = 2^n, what is the value of a_5?Options: 3216648Correct Answe..
Question: If the first term of an arithmetic series is 5 and the common difference is 3, what is the..
