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Finding a formula for function f

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#problem-solving
85
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If $P_n(x)=\sum_{k=0}^{[(n-1)/2]}(-1)^k\ _nC_{2k+1}\ x^k$, find $A(x)$ and $B(x)$ such that $P_{n+2}(x)=A(x)P_{n+1}(x)+B(x)P_n(x)$

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#combinatorics #summation #problem-solving
500
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How many ways to put indistinguishable balls into distinguishable boxes with restrictions?

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#combinatorics #problem-solving #balls-in-bins
163
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Solving $e^{x^2}+xe^{x}=5e^{x}$ for $x$

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#calculus #algebra-precalculus #functions #problem-solving
54
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Find the total length of the cloth Mr. X and Mr. Y had in the beginning

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#arithmetic #problem-solving
71
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How to solve the system of equations like this one?

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#problem-solving
42
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Times that respect clock-hand symmetry

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#algebra-precalculus #arithmetic #recreational-mathematics #problem-solving #word-problem
125
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distance of a line connecting $\ln(x)$ and $e^x$

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#real-analysis #exponential-function #vector-analysis #problem-solving
613
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What is it to solve an equation forward?

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#ordinary-differential-equations #recurrence-relations #problem-solving #finance #economics
81
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Understanding left and right adjoint

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#category-theory #soft-question #problem-solving
238
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Square and Quarter Circle

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#geometry #circles #problem-solving #area #arc-length
79
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Formula for the number of binary combinations

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#discrete-mathematics #recreational-mathematics #problem-solving
73
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Finding the Remainder of $f(x)=(x-1)^2(x+2)Q(x)+R(x)$

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#problem-solving
56
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Imagine a single round round-robin chess tournament of 16 players. What is the probability that any two players meet each other within first 3 rounds?

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#probability #recreational-mathematics #problem-solving
110
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Determine real numbers a,b and c such that they verify a certain equation

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#limits #problem-solving #real-numbers #partial-fractions

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