Все публикации

Let A={(x,y)|x ge 4 and y ge 1} be a subset of R^2. What is the boundary of A?

sin(cos^-1(3/5)-sin^-1(5/13))

limit as u approaches 0 of (1/u) ln((1+u)/(1-u))

2sin^2x+3cosx=3

Solve the equation 6(cosx)^2=1+cosx, giving all answers between 0 and 360

Given that x=a^2b and that y=ab^(1/3), express b in terms of x and y

csc^-1(sec(150))

Verify the identity (cscx+cotx)^2=(1+cosx)/(1-cosx)

limit as x approaches infinity of [(x+2)^3-(x+2)^3]/x^2

limit as (x,y) approach (1,1) of (xy-x)/(1-y^2)

Let F=(7z+7x^3)i+(6y+5z+5sin(y^3))j+(7x+5y+6e^(z^3))k. Find curl F and line integrals

3logx-2logy+(1/2)log16

Find the coefficient of x^-2 in the expansion of (x-1)^3 (1/x+2x)^6

Integral of 1/(3-2cosx)

(4+sqrt(15))^x+(4-sqrt(15))^x=62

Integral x^2 cos^2x

Find the exact value of sec(tan^-1(6/7))

Write 3sqrt(3)/(4-sqrt(3))-2/sqrt(3) in the form (asqrt(3)+b)/c where a,b and c are integers

Integral of 2x/(x-1)^2

limit (x,y) approach (0,0) of (x^2+y^2)/(sqrt(x^2+y^2+1)-1)

Verify the identity (1+cos(3t))/sin(3t)+sin(3t)/(1+cos(3t))=2csc(3t)

If f(x)=(x-4)(x-5)(x-6)(x-7), then f'(7)=

Prove sin(3x)/sin(x)+cos(3x)/cos(x)=4cos(2x)

limit as x approaches 3 of (cuberoot(2x-5)-square root(x-2))/(x-3)