Homework Statement
Let f be a differentiable function, defined for all real numbers x, with the following properties:
1. f'(x) = ax^2 + bx
2. f'(1) = 6 and f"(1) = 18
3. \int_{1}^{2} f(x)dx = 18
Find f(x).
Homework Equations
The Attempt at a Solution
Using the first two properties, I...
Homework Statement
If F(x) = \frac{x}{x + 1}, then the inverse function, f^{-1}, is given by f^{-1}(x) = Homework Equations
The Attempt at a Solution
I've replaced F(x) with y, and switched the x and y variables. Where I'm having a problem is solving the resulting equation, here's what I've...
That's a lot easier and cleaner than what I did.
I wound up with a time of 7 s, distance of 147 m, and velocity of 42 m/s. Does that sound about right?
Thanks, collinsmark! I figured it out with your hint by plugging in different times to the formula until their distances were equal. I'll be sure and post all of my work next time! =]
Hi, I've been stuck on this problem for a bit and I am not really sure how to go about solving it.
Homework Statement
As a traffic light turns green, a waiting car starts with a constant acceleration of 6.0 m/s². At the instant the car begins to accelerate, a truck with a constant...