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Calculus - Find an equation of the tangent line to the curve @ the point (1, 1/e). y = x^2*e^-x

Can someone provide a step-by-step solution? Thanks!-y = (x^2)e^-x y = (-e^-x)(x^2) + (2x)(e^-x) (product rule) y = e^-x(-(x^2) + 2x) when x = 1, y = e^(-1)(-1 + 2) y = 1/e Now, to find a tangent li

How to use quadratic equation to solve: 3x^2-7x=-6

Very confused, it says to simplify answer & express complex numbers in terms of i.-This is a quadratic equation, soyou want to use the Quadratic Formula. 3x^2 - 7x = -6 3x^2 - 7x + 6 = 0 a = 3, b =

How would you solve 10^4x-5=11

Or in words it would be ten to the four x power minus five equals eleven. I really need the answer!-10^4x-5=11 10^4x=16 take the -5 to the other side log(10^4x )=log(16) take logs 4x(log10) = log(16)

Which is the following number

heres a numerical order: 2, 7, 18, 28, 18, 28, __ plx help me-its 45 because this are the first few numbers of eulers number called e e=2,718281828459... @Pete W: then it could be also something el

AP Calc AB question radius of a cirlce increasing...

The radius of a circle is increasing.At a certain instant, the rate of increase in the area of the circle is numerically equal to twice the rate of increase in its circumference.What is the radius of

What is the derivative of tanx

sec^2x-(secx)^2 Explanation: y = tanx = sinx/cosx Using the quotient rule: dy/dx = {(cosx)(cosx) - (sinx)(-sinx)}/(cosx)^2 dy/dx = 1/(cosx)^2 dy/dx = (secx)^2-Derivetive of tanx = sec^2 x-Secant sq

Parametric equations BEST answer to first correct response

Okay I am confused and suck at math so I need help. Using a graphing calulator find the equivalent rectangular equation. x=1/2t,y=6t-3;-1 xmin = -10 xmax = 10 ymin = -100 y max = 100 FIND: the eq

If i was born in feb 9, 1996 how old am i

i did the math a bunch of times but kept getting 13, 14, or 15. idk which one. ! :( ugh, lol yea i know i should know my own age...sorry :( thanks-Over 9,000.-15-Old enough to know how old you are....

Is x+3=-1 horizontal vertical or oblique

and is 1+y=0 oblique vertical or horizontal and last but not least isx+2y=8 horizontal vertical or oblique-ye great you tell that, but if you dont explain it nothing will be learned x+3 = -1 if you s

Differentiation plzzz help

the equation of a curve is y=√(1-x/1+x) By first differentiating 1 − x/1+X , obtain an expression for dy/dx in terms of x. Hence show that the gradient of the normal to the curve at the point (x, y) i

Who can answer this algebra problem

find the domain.x^2-5x+6/3x^2-2x-8 how do I solve this!! Looking for best answer!-Any number divided by zero gives you an undefined value, so this problems domain cannot include the roots of the botto

Finding infinitely many polynomials

Find infinitely many polynomials f(x) in Z3[x] such that f(a)=0 for all a in Z3-The polynomial x (x - 1) (x - 2) = x (x^2 - 3x + 2) = x^3 - 3x^2 + 2x certainly has this property. And since -3 = 0 in

Quadratics - minimum turning point :)

hi !! :) thank you so much in advance !! :) i am revising for my standard grade maths came across these and my mind went blank !! panicking now !! i have a diagram and it says find the minimum turnin

Help: Volume of a Hollow Cone

This is my third question on volume of cone already. Yikes. Im really not getting this. Heres the image of the problem/solid once again: http://i55.tinypic.com/2wp096h.jpg I dont even have a clue fo

General solution of the cosx=0

x=2n+)pi/2-The cosine of an angle x is 0 at the following angles: π/2, 3π/2, 5π/2,... So, from this you can see that the general solution is x = (2n + 1)π / 2 Where n is an integer.-x=90
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