Application of antiderivatives

A rocket lifts off the surface of the earth with a constant acceleration of 20 m/sec.sq. How fast will the rocket be going 1 minute later? What I did: a=20 m/sec.sq. v=20t+C m/sec, 1 min. = 60 sec. Initial conditions: v=0 when t=0 At t=0, C=0 Speed = |v|=20(60)+0, or 1200 m/sec. Question: Is this correct, or am I leav ...continues

Evaluation of a Function

A certain rational function f(x) contains quadratic functions in both its numerator and denominator. Aside from that, we also know the folliwing things about f: f has a vertical asymptote at x=5 f has a single x-intercept of x=2 f is removably discontinous at x=1, lim as (x)approaches 1 of f(x)= -1/9 evaluate lim of f( ...continues

Finding Inverse of one-to-one Functions Rules and Example

Determine a set of rules for finding the inverse of a function and find the inverse of: f(x) = (x-2)/(x+2)

Sine Cancellation Laws

Using Cancellation Laws and other methods solve the following problems: 1) arcsin(1) 2) sin(arcsin(1/3))

Functions: L-Hopital's Rule

1) use l'Hopital's rule to show (1+r/k)^kà  e^r , kà  infinity 2) show that y(k)=(1+r/k)^k is an increasing function of k greater or equal to 1 3) let xi and yi are cash flows of two projects for i=0,1,2,….,n such that x0 summation from i=0 to i=n (yi). Let Px(d) and Py(d) deno ...continues

Series: Convergence Interval

Find the convergence interval of the following series. x-x^2/2+x^3/3+...+(-1)^(n-1)/n x^n+...

Integration

Intergrate the follow function f(x)=(1+x^2)/(1+x^4)

function as a composition

What are the formulas for f+g, f-g, fg, and f/g, and the domains of the functions if f(x)= 3x-2, g(x)= |x| ?

Evaluate f(x) and f(y) at the indicated point.

Evaluate fx and fy at the indicated point f(x,y)= arccos xy pt. (1,1)

Partial Derivatives

Find the first partial derivative with respect to x, y, z. w = 3xz / x+y