Are lines L1 and L2 perpendicular: L1 (-7,1) and (5,-2) L2 (3,7)
and (0,-5) a.) No,...
Are lines L1 and L2 perpendicular: L1 (-7,1) and (5,-2) L2 (3,7)
and (0,-5) a.) No, the lines are not perpendicular because the
product of their slope equals -1. B.) Yes , the lines are
perpendicular because the product of their slopes does not equal
-1. C.) No, the lines are not perpendicular because the product of
their slopes does not equal -1. D.) Yes, the lines are
perpendicular because the product of their slope equals -1.
(a) Find the distance between the skew lines l1 and l2 given
with the vector equations...
(a) Find the distance between the skew lines l1 and l2 given
with the vector equations l1 : r1(t) = (1+t)i+ (1+6t)j+ (2t)k; l2 :
r2(s) = (1+2s)i+ (5+15s)j+ (−2+6s)k.
(b) Determine if the plane given by the Cartesian equation −x +
2z = 0 and the line given by the parametric equations x = 5 + 8t, y
= 2 − t, z = 10 + 4t are orthogonal, parallel, or neither.
The line l1 has the direction vector h1,0,−1i and passes through
the point (0,−1,−1). The line...
The line l1 has the direction vector h1,0,−1i and passes through
the point (0,−1,−1). The line l2 passes through the points (1,2,3)
and (1,3,2).
a. [2] What is the angle between l1 and l2 in radians? The
answer should lie between 0 and π/2.
b. [6] What is the distance between l1 and l2?
Let {N1(t), t ≥ 0} and {N2(t), t ≥ 0} be two independent Poisson
processes with...
Let {N1(t), t ≥ 0} and {N2(t), t ≥ 0} be two independent Poisson
processes with rates λ1 and λ2, respectively. Define N(t) = N1(t) +
N2(t). Use the definition to prove that {N(t), t ≥ 0} is a Poisson
process with rate λ = λ1 + λ2.
A. Two independent samples have means of M1
= 15 and M2 = 12, with variances...
A. Two independent samples have means of M1
= 15 and M2 = 12, with variances of
s21 = 4 and s22 = 8. If
the pooled variance is computed to be s2p =
6, which of the following could be the sample sizes for each of the
samples?
Group of answer choices
n1 = 30 and n2 = 5
n1 = 5 and n2 = 30
It CANNOT be any of these
n1 = 10 and n2 = 10...
Find the point of intersection of the two lines l1:x⃗
=〈8,6,−16〉+t〈−1,−5,−1〉l1:x→=〈8,6,−16〉+t〈−1,−5,−1〉 and l2:x⃗
=〈21,1,−43〉+t〈3,1,−5〉l2:x→=〈21,1,−43〉+t〈3,1,−5〉
Intersection point:
Find the point of intersection of the two lines l1:x⃗
=〈8,6,−16〉+t〈−1,−5,−1〉l1:x→=〈8,6,−16〉+t〈−1,−5,−1〉 and l2:x⃗
=〈21,1,−43〉+t〈3,1,−5〉l2:x→=〈21,1,−43〉+t〈3,1,−5〉
Intersection point:
Consider a firm that produces a single output with a single
input, labor, using 2 different...
Consider a firm that produces a single output with a single
input, labor, using 2 different plants. Denote by L1 the assignment
of labor input into plant 1 and by L2 the assignment of labor
input
into plant 2. Plant 1’s production function is F1 (L1) = 4√L1, for
L1 ≥ 0. Plant 2’s production
function is F2(L2) = 8√L2, for L2 ≥ 0.
1. State the average product function of each plant as a function
of the labor assignment....