Mathematics

Maths calculus question help

The question is: Show that the general solution to f(x) = 7.2e^-0.4t is equal to y = 45e^-0.4t + ct + d.-d^2y/dx^2=7.2e^(-0.4t) Integrate once: dy/dx =(7.2/-0.4)e^(-0.4t)+c=-18e^(-0.4t)+c Integrate a

How do I calculate this limit

How do I calculate the limit (as x approaches 3) of ((x+6)^0.5 - x) / (x^3 -3x^2) Thanks in advance!-Rationalize the numerator to find the limit as under. lim (x → 3) (√(x+6) - x) / (x^3 - 3x^2) = l

Help with math please

3/4-6--5 and 1/4, or -5.25, or -21/4.Take your pick, all the same.--5.25! easy-18-24 is.... -6....so -6/24 or -1/4

Please help me with this math problem

A commericial for long-distance calling says their rate is just 7 cents per minute. Another commercial says that their rate is just 3 cents per minute and 39 cents to connect. 1. What is the break p

Algebra Two Help : Function Operations??? please and thanks !

f(x) = -7 + 1 and g(x) = x 1) f(x) + g(x) 2) f(x) - g(x) 3) f(x) times g(x) f(x)= 2x^2 andg(x)= x - 2 EXAMPLE --- f o g: 2( x - 2 )^2 ----> (2x - 4)^2 ----> (2x - 4)(2x-4) ----> 4x^2 + 16 1)

Help with Quadratic equations

Im stuck,the only factors of -6 are -2, -3 and -1 right? how do i make that positive 4so.. multiply to equal -6 and add to be 4-I dont think that anything multiplies to -6 and adds to 4

Is -a² positive or negative

It is negative. Any number squared (negative or positive) is positive (e.g -1x-1=+1=1x1) stick a negative sign in front of it and it becomes negative.--A*-A=A^2, POSITIVE.-The way you wrote it, NEGATI

Give an example of a function that has a right-hand limit but not a left-hand limit at a point

How about f(x) = 1/x if x

Prove the scalar multiple property of limits: limx->c [bf(x)]=bL

It needs to be the actual proof not an example, which is why I am stuck =(-Given ε > 0, we need to find δ > 0 such that 0 |b f(x) - bL| -------------------------- If b = 0, this is trivial to prove.

Help solving this differential equation

x`(t) +3t^2 x(t) = 3t^2-Did you forget you asked this question before? This answer is great!http://answers.yahoo.com/question/index;… Why do you want someone to solve it again?-The equation above is

How to solve lim as x->1 where f(x) = (x^7-1)/(x^92-1) WITHOUT l'hopitals rule

Hint: 1+x+...+x^6 = (x^7 - 1)/(x-1) 1+x+...+x^91 = (x^92 - 1)/(x-1) So, lim{x->1} (x^7-1)/(x^92-1) = lim{x->1} (1+x+...+x^6)/(1+x+...+x^91) = 7/92

Can someone help me with this derivative problem

y=sin(x^(1/3))+(sin(6x))^(1/3) Ive worked it out quite a few times, only to get the wrong answer =/-how do you know its wrong if you don`t know the answer ;) y(x)= cos(x^(1/3))/(3x^(2/3) )+6cos(6x)/

Equally likely outcomes, probability question

If the team is equally likely to win as to lose each game, what is the probability that they win a string of at least 6 games in a row? My thinking in this was just counting up the occurrences of t

Need help with math application problem

So here is my question- The price of a computer fell 20% this year. If the computer now costs $900, how much did it cost last year? What or how do you do this problem??-LET THE COST OF COMPUTER LAST

Calculus Trig Sub INTEGRALS HELP!!! Please!

integral x^2/( square root of (4 + x^2), It would help if you could show the work THANKS!-Hello, ∫ [x² /√(4 + x²)] dx = rewrite it as: ∫ [x² /√(2² + x²)] dx = let: x = 2tanθ tanθ = x/2 dx = 2se