Mathematics

What is f(x)=4x^5+16x^4-16x^3-x-6, D(x)=x^2-4? I am to use long division

I am stuck I got 4x^3+16x^2 but I am wrong can anyone explain how to properly approach this problem.-4x^5 + 16x^4 - 16x^3 - x - 6 Ix^2 - 4 ......................................… .....................

What is the derivative of x|x|? and how

Since theres an absolute value in here, we need to define the equation in two parts (a piecewise function). Lets start by saying f(x) = x|x| Absolute value functions work different when the number i

Differentiate the function. f(x) = ln(225 sin^2 x)

Differentiate the function. f(x) = ln(225 sin^2 x) Thanks!-First, you can simplify f(x) using logarithm rules to get: f(x) = ln[225sin^2(x)] = ln(225) + ln[sin^2(x)], since ln(ab) = ln(a) + ln(b) = l

Need Help With a Math Question!!!!

I am thinking of getting a Costco Executive Membership.If you get the Executive Membership you get 2% back on your purchases.The Membership is $100.00.How much money would I have to spend to get enoug

How do I find the x intercepts of -2/3x^2+x^2

I need help finding the x intercepts please show how to approach this quesion thankyou for your time!-- (2/3)*x^2 + x^2 = (1/3)*x^2 y = (1/3)*x^2 (1/3)*x^2 = 0 x^2 = 0 x*x = 0 x1 = x2 = 0 x1 - i

I need help finding real zeros of polynomial R(x)=8x^3-15x^2-18x-2

If I can get help in seeing how to approach this I would greatly appreciate it. Also for 4x^3-14x^2+25.Thankyou for your time-x = -(1/8)||x = 1 - Sqrt[3]||x = 1 + Sqrt[3]

What is the limit of (x^2-x+12)/(x+3) with x --> -3

lim (x^2-x+12)/(x+3) x --> -3 Help?-Id consider using quadratic formula on numerator(x^2-x+12) but you wont get any answer because the number gets negative while solving quadratic. you also get 0 at

Breadth/width? is the meaning the same

I was reading a book about Physics, and it was (just on the off beat) talking about the are of a rectangle being the breadth x height. The book is written by someone who is British. Im wondering, doe

How do I find all zeros of 1. R(x)=x^5-x^4+9x^3-9x^2+20x-20

Please show how i approach this thankyou so much for your time-First, look for rational zeros. The rational Root Theorem says that if rational roots exist, then they will look like this p/q (a fracti

How do I find all zeros of 1. R(x)=x^5-x^4+9x^2+20x-20 and also for 2. R(x)=x^5+4x^3+8x^2+32

so far I only got 2. which I got (x-1)(x^4+9x^2+20) but I am stuck otherwise if you can please show what next steps are I greatly appreciate it. thankyou-There arent any rational solutions to 1.So the

Help me find y' and y''. y= ln(sec 6x + tan 6x)

y = ln ( sec 6x + tan 6x) y= y= Thank you!-Recall that d/dx[ln(u)] = 1/u * (du/dx) y = ln(sec(6x) + tan(6x)) y = [6*sec(6x)*tan(6x) + 6*sec²(6x)]/[sec(6x) + tan(6x)] y = (6*sec(6x))*(tan(6x) + s

Four tins of cat food are sufficient to feed 3 cats for 7 days. How many tins of cat food is needed to feed 2

3 cats for 7-days require = 4 tins1 cat for 7-days require = 4 / 3 tins2 cats for 7-days require = 4 x 2 / 3 = 8/3 tins >=====-4 tins are good for 3*7 = 21 cat days so each tin is good for 21/4 cat da

Use logarithmic differentiation to find the derivative of the function. y = x^8cosx

y = x^ 8cosx y=?-I am assuming that the function is: y = x^[8cos(x)]. Start out by taking the natural logarithm of both sides to get: ln(y) = ln{x^[8cos(x)]} ==> ln(y) = 8cos(x)*ln(x), since ln(a^b)

Solve a 2nd order homogeneous difference equation

Solve a 2nd order homogeneous difference equation? Solve the difference equation an+2 = 2 an+1 - an given a0= 6 and a1= 7 an= ? so the answer is 6+n...but i have no idea how to get to that.-Say a_

Simplifying expressions help

√192x^4y^9 I think the answer is 8x^2y^4√3y-sq rt(192 x^4.y^9) =sq rt(8^2.3{x^2}^2}[y^4]^2 .y), = 8.x^2.y^4.sq rt(3.y) answer-I get 8x^2y^4sqrt(y) with no radical 3 in front of the y.