please help me, I try to do but i can not.
1. Find a vector function F(t) whose graph is the curve of intersection of
z=\sqrt{4-x^2-y^2} and y=x^2.
2. Find parametric equations for the line that is tangent to the curve r(t)=(e^t)i+(sin t)j+\ln(1-t)k at t=0.
3. Find the point on the...
Homework Statement
1. please help me find the distance from the point (0, 0 ,0) to the line
x=4-t, y=3+2t, z=-5+3t (-\nfty<t<\infty)
2. find the distance between the point (3, 1, -2) and the plane x+2y-2z=4
3 find the principle unit notmal N, the curvature , and the radius of curvature...
[SOLVED] please hint me
Homework Statement
28. What is the coefficient of x^{88} from
(x+1)(x+2)(x-3)(x+4)(x+5)(x-6)...(x+88)(x+89)(x-90).
29. Find x from this equation \frac{108}{\sqrt{x^2-2916}}=\frac{378-x-\sqrt{x^2-2916}}{x+54}.
Homework Equations
The Attempt at a Solution
Homework Statement
Let u_n, v_n be a sequence of positive real number such that
u_{n+1}\leq (1+v_n)u_n where \sum_{n=1}^{\infty}v_n
converges.
It is true or false if true please help me prove.
if \frac{u_{n+1}}{u_n}\leq M then u_n\leq M
for some M be a positive real number.
whether...
Please help me find examples.
u_n\subset [0,\infty) and v_n\subset [0,\infty) such that
u_{n+1}\leq u_n+v_n for all n and \sum_{n=1}^{\infty}v_n
is finite.
In fact, this is a theorem which say that
u_n\subset [0,\infty) and v_n\subset [0,\infty) such that
u_{n+1}\leq u_n+v_n for...
Homework Statement
Please help me find examples.
u_n\subset [0,\infty) and v_n\subset [0,\infty) such that
u_{n+1}\leq u_n+v_n for all n and \sum_{n=1}^{\infty}v_n
is finite.
Homework Equations
The Attempt at a Solution
Let u_n be a sequence of positive real number.
If \sum_{n=1}^{\infty}u_n^{2} finite + (condition??) then \sum_{n=1}^{\infty}u_n finite.
I want to find the condition.Please help me.
Let u_n be a sequence of positive real number.
If \sum_{n=1}^{\infty}u_n^{2} finite + (condition??) then \sum_{n=1}^{\infty}u_n finite.
I want to find the condition.Please help me.