• ### Prime pairs?

Prove that the set { 1, 2, ..., 2k} can be partitioned into k distinct pairs {a_i, b_i} such that for each i, ( a_i + b_i) is prime
Prove that the set { 1, 2, ..., 2k} can be partitioned into k distinct pairs {a_i, b_i} such that for each i, ( a_i + b_i) is prime
6 answers · Mathematics · 1 month ago
• ### Prime pairs?

Prove that the set { 1, 2, ..., 2k} can be partitioned into k distinct pairs {a_i, b_i} such that for each i, ( a_i + b_i) is prime
Prove that the set { 1, 2, ..., 2k} can be partitioned into k distinct pairs {a_i, b_i} such that for each i, ( a_i + b_i) is prime
Mathematics · 1 month ago
• ### Looking to integrate 1/( cos(x-a)cos(x-b)) ?

Mathematics · 4 months ago
• ### Need to find domain of f(x) = ln(x + √ (cos(x) -1))?

Mathematics · 5 months ago
• ### Need to find domain of f(x) = ln(x + √ (cos(x) -1))?

Mathematics · 5 months ago
• ### Using epsilon-delta show that limit x->2 x^3 = 8?

2 answers · Mathematics · 5 months ago
• ### For what integer values of x, will 10/(2x-3) be integer.?

6 answers · Mathematics · 5 months ago
• ### Let f(x) = ( 3x-4)/(5x+2) If the range of f(x) is Z ( the integers) then what is the domain.?

6 answers · Mathematics · 5 months ago
• ### How do I show that (4x+3)/(3x+2) is an irreducible fraction ?

2 answers · Mathematics · 6 months ago
• ### Question on triangles?

Given triangle ABD, with C on side side AD such that AC = 4 and CD = 5. Side AB = 6. Find BC if perimeter of triangle BCD is 20.
Given triangle ABD, with C on side side AD such that AC = 4 and CD = 5. Side AB = 6. Find BC if perimeter of triangle BCD is 20.
2 answers · Mathematics · 10 months ago
• ### Trig Equation?

Looking for solution to sin(x) + cot(x) = 1
Looking for solution to sin(x) + cot(x) = 1
3 answers · Mathematics · 11 months ago
• ### An injective function?

Need to prove that x^3 + 3x is an injective function ( 1-to-1 and onto) algebraically (no calculus)
Need to prove that x^3 + 3x is an injective function ( 1-to-1 and onto) algebraically (no calculus)
2 answers · Mathematics · 12 months ago
• ### Function with roots 1 and 2?

Looking for a function with roots 1 and 2 , slant asymptote x+3 and a vertical asymptote at x=5
Looking for a function with roots 1 and 2 , slant asymptote x+3 and a vertical asymptote at x=5
3 answers · Mathematics · 12 months ago
• ### Bijective map?

Need a bijective map from (0,1) to [0,1]
Need a bijective map from (0,1) to [0,1]
1 answer · Mathematics · 1 year ago
• ### Prove that the n th derivative of sin(x) = sin(x + n*pi/2)?

1 answer · Mathematics · 1 year ago
• ### Prove that the n th derivative of sin(x) = sin(x + n*pi/2)?

7 answers · Mathematics · 1 year ago
• ### For the polar curve r = 2+sin(theta), at which point does it have a vertical tangent?

2 answers · Mathematics · 1 year ago
• ### If c is real number, consider c, 2c, 3c, 4c, ......, 100c. Need to prove one of these numbers differ from an integer by at most 1/100?

2 answers · Mathematics · 1 year ago
• ### Divergent series?

Suppose sum [ 1 ; oo ] a_n is a divergent series, and sum [1; oo] b_n is also divergent. Does then sum [1 ; oo] (a_n + b_n) also diverge.
Suppose sum [ 1 ; oo ] a_n is a divergent series, and sum [1; oo] b_n is also divergent. Does then sum [1 ; oo] (a_n + b_n) also diverge.
1 answer · Mathematics · 1 year ago
• ### Limit Problem?

Need to evaluate lim x^x * e^(-x)
Need to evaluate lim x^x * e^(-x)
3 answers · Mathematics · 2 years ago