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Monthly Archives: September 2023
Fun SAT Problem on Soda, Chips and Cheesecakes
At a certain party, an executive committee provided one soda for 8 people, one large bag of chips for 4 people, and one cheese cake for 6 people. If the total number of sodas, large bag of chips, and cheese … Continue reading
AoPS: Range of a horizontally scaled and vertically shifted function
Suppose a function f(x) has a domain and range [-11,3], if we define a new function g(x) by g(x)=f(6x)+1 then what is the range of g(x)? Express your answer in interval notation.
AoPS Domain of nested square root function
Find the domain of the function .
AoPS: Possible upper range of product of two functions
Suppose that f(x) and g(x) are functions on such that the range of f is [-5,3] and the range of g is [-2,1]. The range of f(x)*g(x) is [a,b]. What is the largest possible value of b ?
Proof: No Integral roots for a quadratic trinomial with all odd coefficients
Posted in Proof, Proof by Cases, Proof by Contradiction
Tagged Discrete Math, IB Math
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AP Calculus, Calculus 1 Absolute Value and sided limit
Find the following limit
Calculus 2: True False (Partial Fraction) and Divergence of Integral
The partial fraction decomposition of the rational function is for some constants and . The following improper integral diverges
Calculus 2: Improper Integral convergence
Determine whether the following improper integral converges or diverges. Justify your answer
Sumant's 1 page of Math 