∀n∈N \ {0,1}, 1 + 1/(2^2) + … + 1/(n^2) > 3n/(2n + 1) N denotes the Natural Numbers. I tried adding 1/(n+1)^2 to both sides but am stuck.

∀n∈N \ {0,1}, 1 + 1/(2^2) + … + 1/(n^2) > 3n/(2n + 1) N denotes the Natural Numbers. I tried adding 1/(n+1)^2 to both sides but am stuck.

∀n∈N, 1!3!…(2n+1)! > ((n+1)!)n+1 N stands for the natural numbers. I am having trouble manipulating the ((n+1)!)n+1 term appropriately.

(1/x)(d/dx(x(dy/dx))) = 4sinh(y) : x varies from 0 to 1 Boundary Conditions :- at x = 0 : dy/dx = 0 at x = 1 : dy/dx = 4 Plot y as a function of x

Let T be the partial order relation defined on N * N by (a,b)T(c,d) if and only if a <= c and b <= d. Is T a total order relation?

Point K is a point inside a triangle XYZ. Let G, H, I be the orthogonal projections of the point K on the sides YZ, ZX, XY respectively. Let the orthogonal projections of the point X on the lines...

Arctan[tan(-120°)]

cosθ - cosθ tanθ=0

Then they increased their speed by p miles per hour. How far could they go in ax hours at the new rate?

Factor: 3y2n+1 + 12y3n+2

Advanced Mathematics

When there were 200 boys, there were 10 girls and 20 teachers. How many boys were there when there were 2 teachers and 8 girl? Please help me understand how to created the equation...

When there were 28 acorns, there were there were 7 walnuts and 3 squirrels. How many acorns were there when there were 4 walnuts but only 2 squirrels?

Advanced Mathematics

Advanced Mathematics

Let x* be an optimal solution to the following problem: Minimize cx s.t. aix = bi , i = 1,…,m, x ≥ 0 Let w* be an optimal solution to the dual...

Choices are ; 2/11 3/44 3/11 7/44