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Basic Algebra

Solve equation for Rt

When three resistors of resistance values R1, R2, and R3 are placed in a parallel pattern within an electrical circuit (see diagram attached), the total resistance, RT, is computed from the formula: 1/RT = 1/R1 + 1/R2 + 1/R3. a. Rewrite the resistance formula by solving for RT and simplifying (i.e. RT = ...) b.

Liner Algebra / Linear Operators

See attached document. Please use only elementary theorems about linear operators, transformations, and definitions of invertibility.

Routh Stability Criterion

Consider the following characteristic equations: (a) s^3 + 2s^2 + s +2 = 0 (b) s^5 + 2s^4 + 24s^3 + 48s^2 - 25s - 50 = 0 Using Routh stability criterion, determine whether the above systems are stable or unstable.


The questions relate to graphing of different simple functions. See attached file for full problem description.

Simple Factoring

I'm trying to factor the expression: 3a^2 - 13ab - 10b^2 But, I just don't know how. Thanks

Quadratic Equations : Completing the Square

1) Find the perfect square trinomial whose first two terms are given: w^2 - 5w 2) Solve by completing the square: 2m^2 - m - 15 = 0 3) Solve by using the quadratic formula: -x^2 - 3x + 5 = 0

Please explain in detail

Solve the following: secx = -5 find sin 2x find cos 2x tan 2x if tan x = 1/2 find sin x/2 cos x/2

Sudoku Puzzles

Please give the missing digit : it is a three by three puzzles, the first row has a 9and 7 ,but missing a first number, the second row has a 4, missing the first and third number and the last row is empty. the second thre by three square has a 3 in the first row,second row is empty, and third row has a 7 in the first box and

Intermediate Algebra problems

Intermediate Algebra problems in radicals, radical functions, and rational exponents. (See attached file for full problem description) These algebra problems all relate to radicals, radical functions, and rational exponents. Simplify the expression. Include absolute value bars where necessary. 4√t4

Working with Logarithms

Explanation and breakdown of Logs (See attached file for full problem description with proper equations) --- Logarithms: a) Using a calculator, find log 10000 where log means log to the base of 10. Answer: b) Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In comput

C program to find the roots of a quadratic equation

This program is written is C, not C++. File should have a .c extension. Make broad use of comments so that I can understand the program. This program should be written with the use of "if" statements, not loops. I have a similar assignment to turn in, so the instructions must be thoroughly followed. Details about what to

Poverty, Income Inequality, and Discrimination

I need assistance attempting to solve my study questions. --- Study question: In 1987, there seemed to be bipartisan agreement that Aid to Families with Dependent Children should be transformed into a vehicle for education, training, and work. In what sense is work the solution to dependency? Can training and job placemen

Two Problems

8. A mother is four times as old as her duaghter. IN 20 years, she will be twice as old as her daughter. How old are mother and duaghter now? 9. Find the equation of the line that is perpendicular to the line 4x-3y = 15 AND has the same y intercept as the line that is parallel to 4x-3y =15 and passes through the point (24

Solve the equation by any means

Solve the equation by any means. Find the exact solutions when possible and approximate ones otherwise. 45. 2sinx = 1 55. 2 sin²x - 3 sin x = 2 56. cos 2x = cos x Hint first use an identity 57. sec²x + 3 tan²x = 13 58. sec² = 4 tan x - 2 59. 2 sin²x + sin x - 2 = 0

Scale factor

An inch on a map represents 200 miles. On the same map a distance of 375 miles is represented by???