Log

e^x*e^x+1=e^x-1

Subject of equation

Rearrange the following expression such that b is on the left hand side of the equality: d = 1.3[(ab)^0.625)/(a+b)^0.25]

Intersect of Surface and Line in 3D Space

Attached, find a graphic of a Plane and a Line. I'm hoping the solution can be conveyed without Matrix math, and am thinking it ought to be solvable using 'conventional' simutaneous equations (which I almost 'get'). Too, I'm hoping the solution will be fairly 'general', in the sense that, after understanding this first effort, ...continues

Proving that an equality is false.

I have two sets of 64 numbers (1.1 to 7.4). Both number sets are created using the same equation for values of i from 0 to 63. m = 1.1 + ( i * 0.1 ) n = 1.1 + ( i * 0.1 ) I am trying to understand if the following equality is false in all cases except when the terms in each expression are equal (e.g. m^-12 = n^-12 and ...continues

Recursive Equations : A 2x2xn hole in a wall is to be filled with 2n 1x1x2 bricks...

Q.A 2x2xn hole in a wall is to be filled with 2n 1x1x2 bricks. In how many ways can this be done if the bricks are indistinguishable?

Simplification of fractions

Simplify attached fractions with polynomial denominators.

Fraction- quite complex

Problem found in attached document. Please simplify.

Isolating variables

Given the formula below, make (i) h and (ii) a the subject of the formula A = 1/2*h*(a+b) Given the formula below, change the subject of the formula to P A = [P(1+r)^n-1]/r

Linear Congruences ( Part I) Incongruent Solutions

Find the solutions of (a) 4x is congruent to 3(mod 7) (b) 9x is congruent to 11(mod 26) (c) 3x + 1 is congruent to 4(mod 5) (d) 8x is congruent to 6(mod 14). ...continues

Linear Congruences (Part II) Incongruent Solutions

Find the solutions of (1) 153x is congruent to 6 (mod 12) (2) x + 1 is congruent to 3 (mod 7) (3) 8x is congruent to 6 (mod 422) (4) 363x is congruent to 345 (mod 624). ...continues