Question
In: Math
Find the vectors T, N, and B at the given point. r(t) = < t2, (2/3)...
Find the vectors T, N, and B at the given point.
r(t) = < t2, (2/3) (t3), t > , < 4, -16/3, -2>
Solutions
milcah answered 2 years agoRelated Solutions
Find T(t), N(t), and B(t) for r(t) = t^2 i + (2/3)t^3 j + t k...
Find T(t), N(t), and B(t) for r(t) = t^2 i + (2/3)t^3 j + t k at
the point P ( 1, (2/3) , 1)
(1 point) For the given position vectors r(t)r(t) compute the unit tangent vector T(t)T(t) for the...
(1 point) For the given position vectors r(t)r(t) compute the
unit tangent vector T(t)T(t) for the given value of tt .
A) Let r(t)=〈cos5t,sin5t〉
Then T(π4)〈
B) Let r(t)=〈t^2,t^3〉
Then T(4)=〈
C) Let r(t)=e^(5t)i+e^(−4t)j+tk
Then T(−5)=
4. Let r(?) = �?, 4 3 ? 3/2, ?2 �. (a) Find T, N, and...
4. Let r(?) = �?, 4 3 ? 3/2, ?2 �. (a) Find T, N, and B at the
point corresponding to ? = 1. (b) Find the equation of the
osculating plane at the point corresponding to ? = 1. (c) Find the
equation of the normal plane at the point corresponding to ? =
1
Consider the following vector function. r(t) =<3t, 1/2 t2, t2> (a) Find the unit tangent and...
Consider the following vector function. r(t) =<3t, 1/2 t2,
t2> (a) Find the unit tangent and unit normal vectors T(t) and
N(t).
(b). Find the curvature k(t).
Find T(t), N(t), aT, and aN at the given time t for the space curve r(t)....
Find T(t), N(t), aT, and aN at the given time t for the space
curve r(t). [Hint: Find a(t), T(t), aT, and aN. Solve for N in the
equation a(t)=aTT+aNN. (If an answer is undefined, enter
UNDEFINED.)
Function Time
r(t)=9ti-tj+(t^2)k t=-1
T(-1)=
N(-1)=
aT=
aN=
3) Solve the initial value problems c) R′ + (R/t) = (2/(1+t2 )) , R(1) =...
3) Solve the initial value problems
c) R′ + (R/t) = (2/(1+t2 )) , R(1) = ln 8.
e) ) cos θv′ + v = 3 , v(π/2) = 1.
5) Express the general solution of the equation x ′ = 2tx + 1 in
terms of the erf function.
7) Solve x ′′ + x ′ = 3t by substituting y = x ′
9) Find the general solution to the differential equation x ′ =
ax + b,...
If T1 and T2 are independent exponential random variables, find the density function of R=T(2) -...
If T1 and T2 are independent exponential
random variables, find the density function of R=T(2) -
T(1).
This is for the difference of the order statistics not of the
variables, i.e. we are not looking for
T2 - T1. It is implied that they are both
from the same distribution. I know that
fT(t) = λe-λt
fT(1)T(2)(t1,t2) = 2
fT(t1)fT(t2) =
2λ2 e-λt1
e-λt2 , 0 < t1 <
t2 and I need to find fR(r).
From Mathematical Statistics and...
At what point do the curves r1(t) = t, 3 − t, 35 + t2 and...
At what point do the curves r1(t) = t, 3 − t, 35 + t2 and r2(s)
= 7 − s, s − 4, s2 intersect? (x, y, z) = Find their angle of
intersection, θ, correct to the nearest degree. θ = °
All vectors are in R^ n. Prove the following statements. a) v·v=||v||2 b) If ||u||2 +...
All vectors are in R^ n. Prove the following statements.
a) v·v=||v||2
b) If ||u||2 + ||v||2 = ||u + v||2, then u and v are
orthogonal.
c) (Schwarz inequality) |v · w| ≤ ||v||||w||.
Given the vectors u1 = (2, −1, 3) and u2 = (1, 2, 2) find a...
Given the vectors u1 = (2, −1, 3) and u2 = (1, 2, 2) find a
third vector u3 in R3 such that
(a) {u1, u2, u3} spans R3
(b) {u1, u2, u3} does not span R3
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