Tagged Questions
3
votes
1answer
95 views
Finding coefficients of quadratic given one tangent and point on the curve
I am given a quadratic equation:
$$
y = Ax^2 + Bx + C
$$
that passes through $(1,3)$ and $(2,3)$, and a tangent to the curve is $x - y + 1 = 0$ at $(2.3)$.
How do I find $A$, $B$, and $C$?
The ...
5
votes
3answers
238 views
What are a , b and c?
$$y = ax^2 + bx + c$$
which is tangent at the origin with the line $y=x$, It is also tangential with the line $y=2x + 3$. Determine the function! Draw a figure!
My main question is this solvable? I ...
4
votes
2answers
247 views
Integrating $\int_0^\infty \frac{1}{x^2 + 2x + 2} \mathrm{d} x$
I've been trying to integrate this:
$$\int_0^\infty \frac{1}{x^2 + 2x + 2} \mathrm{d} x .$$
Unfortunately I haven't found a way so far. I've been trying to factor the denominator in order to end up ...
5
votes
2answers
345 views
Find equation of quadratic when given tangents?
I know the equations of 4 lines which are tangents to a quadratic:
$y=2x-10$
$y=x-4$
$y=-x-4$
$y=-2x-10$
If I know that all of these equations are tangents, how do I find the equation of the ...
