Search
Question: A box contains 5 white and 3 black balls. What is the probability of picking a black ball?..
Question: In a lottery, there are 10 tickets, and 3 are winning tickets. What is the probability of ..
Question: What is the probability of flipping a coin and getting heads? (2023)Options: 1/21/31/41Cor..
Question: In a class of 30 students, 18 are girls. What is the probability of randomly selecting a b..
Question: If a die is rolled, what is the probability of getting an even number? (2022)Options: 1/21..
Question: How many different ways can the letters of the word \'MATH\' be arranged?Options: 12243648..
Question: How many ways can 3 prizes be awarded to 10 students if no student can win more than one p..
Question: How many ways can 5 different letters be arranged if 2 letters are always together?Options..
Question: How many different 4-digit PINs can be formed using the digits 0-9 without repetition?Opti..
Question: In how many ways can 4 different fruits be selected from 10 fruits?Options: 210120240300Co..
Question: How many ways can 3 boys and 2 girls be seated in a row?Options: 3060120180Correct Answer:..
Question: Find the integral of (2x + 1)^3 dx. (2019)Options: (1/4)(2x + 1)^4 + C(1/3)(2x + 1)^4 + C(..
Question: What is the integral of tan(x) dx? (2023)Options: -lncos(x)+ Clnsin(x)+ Clntan(x)+ C-lnsin..
Question: Evaluate ∫ (5 - 3x) dx. (2022)Options: 5x - (3/2)x^2 + C5x - (3/3)x^2 + C5x - (3/4)x^2 + C..
Question: Find the integral of x^5 dx. (2020)Options: (1/6)x^6 + C(1/5)x^6 + C(1/4)x^6 + C(1/7)x^6 +..
Question: What is the integral of cos(2x) dx? (2021)Options: (1/2)sin(2x) + Csin(2x) + C(1/2)cos(2x)..
Question: Evaluate ∫ (4x^3 - 2x) dx. (2019)Options: x^4 - x^2 + Cx^4 - x^2 + 2Cx^4 - x + C4x^4 - 2x^..
Question: Find the integral of e^x dx. (2022)Options: e^x + Ce^xx e^x + Cln(e^x) + CCorrect Answer: ..
Question: Evaluate the integral ∫ (3x^2 + 2x) dx. (2020)Options: x^3 + x^2 + Cx^3 + x^2 + 2Cx^3 + x^..
Question: What is the integral of sin(x) dx? (2021)Options: -cos(x) + Ccos(x) + Csin(x) + C-sin(x) +..
Question: Find the derivative of f(x) = x^5 + 3x^3 - 2x.Options: 5x^4 + 9x^2 - 25x^4 + 6x^2 - 23x^2 ..
Question: What is the derivative of f(x) = 1/x?Options: -1/x^21/x^2-xxCorrect Answer: -1/x^2Solution..
Question: What is the derivative of f(x) = 5x^4?Options: 20x^35x^315x^34x^3Correct Answer: 20x^3Solu..
Question: What is the derivative of f(x) = x^3 - 4x?Options: 3x^2 - 43x^2 + 4x^2 - 43x^2 - 2Correct ..
Question: Calculate the derivative of f(x) = ln(x^2 + 1).Options: 2x/(x^2 + 1)1/(x^2 + 1)2/(x^2 + 1)..
Question: What is the derivative of f(x) = e^(2x)?Options: 2e^(2x)e^(2x)e^(x)2x*e^(2x)Correct Answer..
Question: Find the derivative of f(x) = sin(x) + cos(x).Options: cos(x) - sin(x)-sin(x) - cos(x)sin(..
Question: What is the general solution of the equation y\'\' - 3y\' + 2y = 0?Options: y = C1 e^(x) +..
Question: Solve the differential equation y\' = 5 - 2y.Options: y = 5/2 + Ce^(-2x)y = 5 + Ce^(-2x)y ..
Question: What is the solution to the equation y\' = 3y + 6?Options: y = Ce^(3x) - 2y = Ce^(3x) + 2y..
