1. Find the derivative f'(x).
2. Let g(x) be a differentiable function such that g(0)=2 and g'(0)=3.
LIM x→1+ ((1/LN(x)) - (1/x2-1))
i have a homework problem from pre calculus and i dont understand how to solve it
I think you're supposed to use implicit differentiation, and then solve for the equation after finding the slope.
Find an arc length parametrization of r(t)=/<6t^2 ,3t^3.>
length of r'(t)= sqrt(144t^2+81t^4)
integral sqrt(144t^2+81t^4) from 0...
the 1s and 2s are as in base one and base 2 and it must be solved for R1 where it is a maximizer
S = Integral
The distance of a particle from it's starting point at time t second is given by 8 = 80t - 16t^2
what is the velocity of the particle after 2 seconds?
there is a single 21-foot vertical palm tree growing in the middle of a large flat desert island. On a certain day, the sun will rise at 6:00 AM and set at 6:00 PM. At noon on that day the sun will...
What is the distance from the point (1,-3,8) to the x-axis? This is a calculus 3 question.
deduce the equation of the circle
I got as far as (x+2)(x^2-2x-2). I see that the answer in the back of my book is -2, 1 +/- sq(3). (the sq(3) meaning the square root of 3). I get how I get the -2, but how do we get the answer...
WHAT IS GOLDEN RULE OF/FOR
A problem I am dealing with is finding the Definite Integral, from 1 to 2, of (4x^3 – 3x^2) dx:
I understand that you integrate, Plug in upper limit then subtract lower limit. my answer comes...
Eliminate the parameter.
and find the arc length of a cardioid with r=a(1-cosx)?
When an initial amount of money, in dollars, is invested into an account that earns interest continuously, the Future Value of the account after years is given by the formula: F(t)=Ae^rt where is...