Math Answers

1 Given that
A=sinti+costj+tk
A=sin⁡ti+cos⁡tj+tk

, evaluate
∣∣∣d2Adt2∣∣∣
2 A particle moves along a curve whose parameter equations are
x=e−t
x=e−t
,
y=2cos3t
y=2cos⁡3t
,
z=2sin3t
z=2sin⁡3t
. Find the magnitude of the acceleration at t=0
3 A particle moves along the curve
x=2t2
x=2t2
,
y=t2−4t
y=t2−4t
and
z=3t−5
z=3t−5
,where t is the time. Find the components of the velocity at t=1 in the direction
i−3j+2k
4 Determine the unit tangent at the point where t=2 on the curve
x=t2+1
x=t2+1
,
y=4t−3
y=4t−3
and
z=2t2−6t
5 If
A=5t2+tj−t3k
A=5t2+tj−t3k
and
B=sinti−costj
B=sin⁡ti−cos⁡tj

. evaluate
ddt(A⋅B)

6. If
A1=3i−j−4k
A1=3i−j−4k
,
A2=−2i+4j−3k
A2=−2i+4j−3k
,
A3=i+2j−k
A3=i+2j−k
, find
|3A1−2A3+4A3|
7 Find a unit vector parallel to the resultant vector
A1=2i+4j−5k
A1=2i+4j−5k
,
A2=1+2j+3k
8 Given the scalar defined by
ϕ(x,y,z)=3x2z−xy2+5
ϕ(x,y,z)=3x2z−xy2+5
,find
ϕ
ϕ
at the points (-1,-2,-3)
9 The following forces act on a particle P:
F1=2i+3j−5k
F1=2i+3j−5k
,
F2=−5i+j+3k
F2=−5i+j+3k
,
F3=i−2j+4k
F3=i−2j+4k
,
F4=4i−3j−2k
F4=4i−3j−2k

, Find the magnitude of the resultant
10. If a and b are non-collinear vectors and
A=(x+y)a+(2x+y+1)b

1 Find the magnitude of vector
A=3i−2j+2k
Given that
A1=3i−2j+k
A1=3i−2j+k
,
A2=2i−4j−3k
A2=2i−4j−3k
,
A3=−i+2j+2k
A3=−i+2j+2k
, find the magnitudes of
2A1−3A2−5A3

3 Given that
A1=2i−j+k
A1=2i−j+k
,
A2=i+3j−2k
A2=i+3j−2k
,
A3=3i+2j+5k
A3=3i+2j+5k
and
A4=3i+2j+5k
A4=3i+2j+5k

,Find scalars a, b, c such that
A4=aA1+bA2+cA3

4 Let a and b be vectors, then
a×b=absinθ
a×b=absin⁡θ
is the €¦ €¦ €¦product
5 A car travels 3km due north, then 5km northeast. Determine the resultant displacement

Are there social class differences in the number of traffic violations? Here are the sample means and standard deviations for the number of tickets given for each group: lower class (mean = 3.2, sd = 1.4), middle class (mean = 10.2, sd = 2.3), and upper class (mean = 4.5, sd = 1.1). Assume you had 50 drivers in each group. If used ANOVA to conduct this analysis, what is the null hypothesis?

linear equations using gauss elimination method x+y+z=2 2x-3y=5 -3x+2z=1

Let θ be an angle such that π ≤ θ ≤ π. Simplify the following expression:
2
underroot( tanθ +1. cot θ)

the terminal side lies in the third quadrant and is perpendicular to the line 3x + 5y = 0?

Let f, g be continuous functions on Real, such that f(x) < g(x) ) such that x belongs to Real \ rational.. Show that
f(x) >= g(x) for each x belongs to R.

A 10-foot rope connects the top of the tent pole to the ground. If the rope makes an angle of 45 degree with the ground, find the length of the tent pole

7/3 whats the multiplicarive inverse why