Question

Two spacecraft are following paths in space given by r1=〈sin(t),t,t^2〉 and r2=〈cos(t),1−t,t^3〉. If the temperature for the points is given by T(x,y,z)=x^2y(8−z), use the Chain Rule to determine the rate of change of the difference D in the temperatures the two spacecraft experience at time t=1.

(Use decimal notation. Give your answer to two decimal places.)

Answer #1

**PLEASE LIKE IT RAISE YOUR THUMBS UP**

**IF YOU ARE HAVING ANY DOUBT FEEL FREE TO ASK IN COMMENT
SECTION**

Two spacecraft are following paths in space given by
r1=〈sin(t),t,t^2〉 and r2=〈cos(t),1−t,t^3〉. If the temperature for
the points is given by T(x,y,z)=x^2y(1−z), use the Chain Rule to
determine the rate of change of the difference D in the
temperatures the two spacecraft experience at time t=3.
(Use decimal notation. Give your answer to two decimal
places.)

Two spacecraft are following paths in space given by
r1=〈sin(t),t,t^2〉r1=〈sin(t),t,t^2〉 and
r2=〈cos(t),1−t,t^3〉.r2=〈cos(t),1−t,t^3〉. If the temperature for
the points is given by T(x,y,z)=x^2y(5−z),T(x,y,z)=x^2y(5−z), use
the Chain Rule to determine the rate of change of the difference D
in the temperatures the two spacecraft experience at time t=2.
(Use decimal notation. Give your answer to two decimal
places.)

7. For the parametric curve x(t) = 2 − 5 cos(t), y(t) = 1 + 3
sin(t), t ∈ [0, 2π) Part a: (2 points) Give an equation relating x
and y that represents the curve. Part b: (4 points) Find the slope
of the tangent line to the curve when t = π 6 . Part c: (4 points)
State the points (x, y) where the tangent line is horizontal

A standing wave on a string fixed at both ends is described by
y(x,t)=2 sin((π/3)x)cos((π/3)t), where x and y are given in cm and
time t is given in s. Answer the following questions
a) Find the two simplest travelling waves which form the above
standing wave
b) Find the amplitude, wave number, frequency, period and speed of
each wave(Include unit in the answer)
c) When the length of the string is 12 cm, calculate the distance
between the nodes...

3. Consider the following two lines:
x = c + t, y = 1 + t, z = 5 + t and x = t, y = 1 - t, z = 3 +
t.
Is there a value c that makes the two lines intersect? If so,
find it. Otherwise, give a reason.
4. A particle starts at the origin and moves along the shortest
path to the line determined by the two points P =(1,2,3) and Q
=(3,-2,-1)....

Relations and Functions
Usual symbols for the above are;
Relations: R1, R2, S, T, etc
Functions: f, g, h, etc. But remember a function is a special
kind of relation so it might turn out that a Relation, R, is a
function, too.
Relations
To understand the symbolism better, let’s say the domain of a
relation, R, is A = { a, b , c} and the Codomain is B = {
1,2,3,4}.
Here is the relation: a R 1, ...

1) State the main difference between an ODE and a PDE?
2) Name two of the three archetypal PDEs?
3) Write the equation used to compute the Wronskian for two
differentiable
functions, y1 and y2.
4) What can you conclude about two differentiable functions, y1 and
y2, if their
Wronskian is nonzero?
5) (2 pts) If two functions, y1 and y2, solve a 2nd order DE, what
does the Principle of
Superposition guarantee?
6) (8 pts, 4 pts each) State...

Question 1
A binomial
distribution reflects two possible outcomes, which can be denoted
as "success and failure"
True
False
1 points
Question 2
As a binomial
distribution is discrete, we can not ever use the normal
distribution?
True
False
1 points
Question 3
The text mentions that
in order to use the normal distribution for binomial distributions
that EITHER n(p) OR n(q) must be > 5.
True
False
1 points
Question 4
The reason that both
n(p) and n(q) are...

6. (1) t, z, (2) equal to less than not contained within greater
than (3) z t (4) Reject Do not reject (5) is is not (6) is greater
than does not equal is less than is equal to Consider the following
hypothesis test. Given that n = 84, σ = 8, x = 49.9, and α = 0.01,
complete parts a through d below. H : 0 μ ≤ 47 H : A μ > 47 a.
State the...

Consider the following results for independent random samples
taken from two populations.
Sample 1
Sample 2
n 1 = 20
n 2 = 40
x 1 = 22.1
x 2 = 20.9
s 1 = 2.4
s 2 = 4.7
What is the point estimate of the difference between the two
population means (to 1 decimal)?
What is the degrees of freedom for the t distribution
(round down your answer to nearest whole number)?
At 95% confidence, what is the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 20 minutes ago

asked 35 minutes ago

asked 48 minutes ago

asked 54 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago