Mathematics

Differential Equation prob

Could someone solve and explain this problem y-4xy=x-Its first order linear. Use the integrating factor e^[∫ -4x dx] = e^(-2x²). Multiply through by the integrating factor and note that the left side

How am i to solve limθ➝π⁄₃ (2cosθ -1)/(θ - π⁄₃) without using the L'Hôpital's Rule

Please write the steps out. The answer should be -√3 right?-Put z = θ–π/3 and let L = lim [θ→π/3] {2cos(θ)−1}/(θ–π/3) 2cos(θ) – 1 = 2cos(z)cos(π/3) – 2sin(z)sin(π/3) − 1 = cos(z) − 1 − √3.sin(z) =

The expression 2 log x - (3 log y + log z) is equivalent to...

.. 2log(x) - ( 3log(y) + log(z) ) = log(x^2) - ( log(y^3) + log(z) ) = log(x^2) - log( z*y^3 ) = log( x^2 /( z*y^3 ) )-We must use the properties: alogx = logx ^a,logx - logy = log(x/y),logx + log y =

Word proplem maths equations

two cities are 200 miles appar, because of track re laying the train averages 10 miles poer hour less for the h\journey less than normal, the train arrives 40 minuites late, find the normal avergae sp

Hard maths expression

simplify this as much as possible to be in its simplest form 7/(x-4)(X+3) - 4/(x+3)(x-1)it should turn out to be3/(x-4)(x-1) dont know how to get it or where to start-Multiply the left of the - by (x

Help please algebra equation

The equation of a line in point-slope form is y-4=-4(x-1). Write the equation in standard form. Please help by explaining how you got that answer-I first solve the equation for y and then write it in

Math question explanation

if x-y=11 and x^2-y^2=22, what is 5x+5y? I know the answer is 10... can you please explain how you got the answer cause i dont get it. thanks!-x^2-y^2=22 is a difference of 2 squares which means its

If you wanted to eliminate the y variable by adding the two equations in the following system, what could be

If you wanted to eliminate the y variable by adding the two equations in the following system, what could be your first step? x − y = 6 4x − 3y = 12 Add the two equations together Multiply the first

How to factor these 2 expressions

16x^2-25 would the answer be (x+4)(x-5)? And: 2x^3y+10x^2y+12xy ^ i seriously dont know what to do with that-2x^3 y + 10x^2 y + 12xy there is a common factor of (2xy) 2xy(x^2 + 5x + 6) = 2xy(x +

Need help with optimization problem

I need to solve: A manufacturer wants to design a closed box having a square base and a volume of 125 in^3. What dimensions will produce a box with minimum surface area? V=x^2y, S=2x^2+4xy-The proble

Ln x + ln (x+3)=2 could someone please answer with workings

Since ln(a) + ln(b) = ln(ab), we see that: ln(x) + ln(x + 3) = ln[x(x + 3)]. So, we have: ln(x) + ln(x + 3) = 2 ==> ln[x(x + 3)] = 2. Then, by the definition of logarithm, this implies that: x(x + 3

Algebra Equation please help

A line passes through the points (-2,-3) and (6,9). Find its equation in standard form. _x+2y=_-Slope =(9--3)/(6--2)=12/8=3/2 so 3x-2y=c Plug in(6,9) 18-18=0 then 3x-2y= 0 or -3x+2y=0-Standard form is

How fast is boat B approaching point Q

Two boats, boat A and boat B, are attached to a pulley 5 feet under the surface of the water with a 47-feet rope. Point Q is a point on the surface of the water that is directly above the pulley. If b

How to scale drawings? Help!

Its for my Math 8 Exam tomorrow. I need to know how to scale maps and drawings for it, in easiest form. Please, I really need to know this! Easiest form and language!! Thanks!-The three axonometric vi

Algebra 2/trig june 2010 regents? Question number 37

what are all values for theta in sin2 theta=sin theta? 0 les than equal to theta les than equal to 360 degrees.-http://www.youtube.com/watch?v=ElRvBhzMY… This guy will tell you the answer-1) As given