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8h
revised Find function satisfying specific conditions
Changed title to match question text
8h
suggested approved edit on Find function satisfying specific conditions
8h
comment Find function satisfying specific conditions
very clever indeed
2d
comment What is the maximum amount of solutions to $f(x+1)f(x)= ax^2+bx+c$.
Since the expression:$g(x)=f(x)f(x+1) - (ax^2+bx+c$) is a 2nd degree polynomial, you can't get more than 2 solutions (assuming m and h are not function of x).
2d
comment Original price formula after discount
Yes your answer is correct.
Jul
1
comment Explain why two right triangles, each with an acute angle of 17 degrees, must be similar.
Study the properties of "Similar Triangles" as in mathopenref.com/similartriangles.html for example.
Jul
1
comment Use the graph of Y=f(x) shown below to answer the following questions
Good explanation. I appreciate it.
Jul
1
comment Use the graph of Y=f(x) shown below to answer the following questions
I assumed that since x=1 and x=3 are roots, then the function must be (x-1)(x-3) but apparently there is more than 1 second degree polynomial that has the same roots! Thanks for the explanation. It would be nice to know how to generate all such polynomials that share the same roots then...I feel something is not quite right but it is 2 A.M. and I am not thinking straight.
Jun
30
comment Use the graph of Y=f(x) shown below to answer the following questions
f(0) = 1.5, so f(x) is not equal (x-1)(x-3) as you suggested.
Jun
30
comment Use the graph of Y=f(x) shown below to answer the following questions
Are you allowed to find values such as f(2) directly from the curve?
Jun
30
revised Use the graph of Y=f(x) shown below to answer the following questions
Copied some of the text in the picture into the question body to make reading it easier
Jun
30
suggested approved edit on Use the graph of Y=f(x) shown below to answer the following questions
Jun
30
comment Number of combinations where the sum of values must be the same
If you were looking for integer values for $a_i$, then the concept of "Integer Partitioning" would apply. However with $a_i$<1, I don't think there would be a closed form for the different number of ways.
Jun
30
answered Using induction to study the sequence $\sqrt{6} , \sqrt{6 +\sqrt{6}}, \dots$
Jun
30
comment Constructing Polynomial Function from Set of Points and Slopes
Also, consider this: en.wikipedia.org/wiki/Hermite_interpolation
Jun
30
comment Constructing Polynomial Function from Set of Points and Slopes
Please clarify " given a set of points each with their own slopes". A point does not have a slope. A numerical example would help.
Jun
30
comment Prove that $\prod_1^{\infty}(1-a_i) > 0$ iff $\sum_1^{\infty}{a_i} < \infty$
Hint: Express the summation: $\sum_1^{\infty}{1/(1 - a_i)}$ in terms of $\prod_1^{\infty}(1-a_i)$ that would appear in the denominator of that sum.
Jun
25
comment How to write $n!=a^{\alpha_0}(a+1)^{\alpha_1}(a+2)^{\alpha_2}\cdots(a+r)^{\alpha_r}$?
Search for the text "Euler also developed a convergent product approximation for the non-integer factorials" in en.wikipedia.org/wiki/Factorial - The formula presented there may be somewhat close to what you want.
Jun
24
revised Why do calculus students learn to think of the derivative as a limit?
added 166 characters in body
Jun
24
answered Why do calculus students learn to think of the derivative as a limit?