Find the limit using L’Hopital’s Rule as x approaches 0 for (x -log(1+x))/x^2.

Find value of a for quadratic equation x^2 (a^2 +a -6)x -a -1 =0 with two different real solutions

Solve quadratic equation by using perfect squares. 3x^2 -4x +1 =0.

Simplify expression sqrt(4+ sqrt(7)) - sqrt(4 - sqrt(7)). Advanced Factoring

Find remainder when polynomial is divided by (x-1)(x-2)(x-3). Remainder is 1 when divided by (x-1).

Using synthetic division, divide 2x^3 + 4x^2 -3x -5 by 2x -1. Polynomials.

When x^2 -3x -1 = 0 find value of x + 1/x, using advanced Factoring techniques

Factor polynomial x^4 + 4x^2 +16. Advanced Factoring

Simplify expression 2 log 3/2 - log 5/3 + 3 log 2 + 1/2 log 25. Logarithms

When log_2 3= a and log_3 5= b express log_30 20 with a and b. Logarithms

Find the value of x for log_3 81 = x and log_8 0.25 = x. Logarithms

Find value of x for log_x 16 = 2 and log_(2 sqrt(2)) 64 = x. Logarithms

Convert polar equation to rectangular equation r= 6/(2 - 3 sin x).

Show that graph of r = 4 sin theta is a circle by converting from polar to rectangular equation

Convert the rectangular equation to polar equation x^2 + y^2 -2ax =0.

Find polar coordinates (r, theta) given rectangular coordinates (sqrt(3), -1).

Make rotation of axis to eliminate xy term in x^2 +24xy + 8y^2 = 136. Conics

Find the limit as x approaches 0 (cot x - 1/x). L’Hopital’s Rule

Find asymptotes of hyperbola x^2/25 - y^2/9 = 1.

Given Hyperbola x^2/9 - y^2 = 1, find foci, vertices and length of transverse axis.

When ellipse with foci (2, 0), (-2,0) passes through point (2, 3), find lengths of major, minor axis

Find equation of ellipse given foci (0, 5), (0, -5) and length of minor axis is 8.

Find center, vertices, foci given by ellipse 4x^2 + y^2 -8x +4y-4=0.

Find the foci and lengths of major and minor axis for ellipse x^2/25 + y^2/16 =1

Find equation of parabola, axis of symmetry parallel to x-axis passes thru (0, -2), (4, 6), (6,-6).