Mathematics

Write in the form a+bi: (1-3i)/(-2-4i)

Not a kid with a home work problem, for a change... but an adult looking at Algebra II problem and wondering why he doesnt get their answer... obviously, Ive forgotten how to do these. Show work pleas

Proving a ring homorphism

Consider the mapping from M2(Z) into Z given by the matrix [a b] [c d]--> a. Prove or disprove that this is a ring homomorphism. I know that it doesnt hold for Multiplication(so it isnt a ring homo

Calculus Help? Derivatives and Rates of Change.

There were a few problems I was stuck on. Any help would be much appreciated! Find an equation of the tangent line to the curve at the given point. 5. y= (x-1)/(x-2) ; (3,2) 7. y= sqrt(x) ; 1,1 al

Arithmetic Sequences Question

The sum of the first three terms of an arithmetic sequence is 15. The sum of their squares is 147. Determine the sequence. I know the answer by trial and error, but I need an algebraic method of sol

How would you simplify: x² +9x +14 over x² - 49 divided by 3x +6 over x² + x- 56

(x^2 +9x +14) / (x^2-49) divided by (3x+6) / (x^2 +x -56) is the same as (x^2+9x+14) / (x^2-49) TIMES (x^2+x-56) / (3x+6) factor fully then cancel like crazy. (x+7)(x+2) / (x+7)(x-7) TIMES (x+8)

How do I parameterize the upper half-circle of radius 2 centered at 1

Im trying to put this in terms of e^(iz).Would this just be 2e^(i(theta)) where the angle ranges from 0 to pi?Im trying to evaluate the integral over gamma of (z^2-1)dz-Close! Use z = 1 + 2e^(it) fo

How to prove divergence of infinite series 1/(n(sqrt(ln(n))))

what theory should i use? and also are the partial sums of this series unbounded? if yes find a partial sum guaranteed to be greater than 100... Im horrible at series please help!-First of all, start

Evaluate the following definite integral: ∫ sqrt(4 + 3x)dx

Evaluate the following definite integral: ∫ sqrt(4 + 3x)dx Note: ∫ (a=0 , b=7) Any and all help is much appreciated! Thanks so much in advance!-Let u = 4+3x Then you need to evaluate new a and b a

HELPPPP!!!! MATH QUESTION!

i need help for a math question relatied to number bases. : a number X is converted to base 5 and becomes a 4-digit number, (abcd)(in base 5). its leftmost digit is removed and written again as the r

If cos2x = 7/15, find the exact value of cos^2x

please show full working-cos^-1(7/15) = 62.... divide that awnser by 2 = x = 31.09093036 then plug into your calculater cos^2 x = my calc got 0.73333...

Help how would I solve the equation: x - 2/x + 2 = x - 3

missing brackets ? Is x - 2/x + 2 = (x - 2)/(x + 2 ) ? If it is ----> solve this equation x-2 = (x+2)(x-3)-Move the 2 to the right side of the equation and the x to the left side. This would make it

Please take a look and see if I solved this math problem correctly. your feedback is very important.

5. You have been asked to design a 1-liter(1000cm^3) cylindrical can made with sheet aluminum. what dimensions of the can(radius and height) will used the least total amount of aluminum? hint 1. th

Help how would I solve the equation x - 2 divided by x + 2 = x - 3

(x - 2)/(x + 2) = x - 3 (x + 2)(x - 2)/(x + 2) = (x + 2)(x - 3) x - 2 = x^2 - x - 6 0 = x^2 - 2x - 4 0 = x^2 - 2x + 1 - 5 0 = (x - 1)^2 - 5 5 = (x - 1)^2 x - 1 = √5 or x - 1 = -√5 x = 1 + √5 or x = 1

A rectangle has a perimeter of 24 meters and an area of 32 square meters. What are the lengths of the sides

just the answer make it simple-8 by 4-The lengths of the adjacent sides are 8 and 4.-the lengths are 8metersand 4 meters-8

Can anyone solve these equations

7x + 13(3/14x + 3) = 91 for x and 3/14x + 3 = -7/13x + 7-1). 7x + 13(3/14x + 3) = 91 7x + 39/14x + 39 = 91 9 11/14x = 52 x = 52 x 14/137 = 728/137 = 5 43/137 = 5.3138686 2). 3/14x + 3 = -7/13x + 7 3