Question

Consider the equation below.

16x^{2} + y^{2} + 16z^{2} − 8y − 160z +
400 = 0

Reduce the equation to one of the standard forms.

Classify the surface.

Answer #1

Reduce the equation to one of the standard forms, classify the
surface, and sketch it.
9x^2+4y^2+z^2=1

Determine an equation of the plane tangent to the surface
x2 - 3x + y2 - y + z2 + 2 = 0 at
the point (2, 1, 0).

Consider the differential equation
y' =
y2 − 9
.
Let
f(x, y) =
y2 − 9
.
Find the partial derivative of f.
df
dy
=
Determine a region of the xy-plane for which the given
differential equation would have a unique solution whose graph
passes through a point
(x0, y0)
in the region.
A unique solution exits in the entire x y-plane.
A unique solution exists in the region −3 < y < 3.
A unique solution exits...

Consider the surface (elliptic cone) y2=
x2+ 4z2.
(a) Sketch the two coordinate traces corresponding to x= 0 and
z= 0 in R3.
(b) Sketch the trace y= 4.
(c) For any positive number k describe the trace y=k.
(d) Sketch the graph of the surface y2=
x2+ 4z2.

The general equation for a circle is
a(x2+y2)+bx+cy+d=0.
a(x2+y2)+bx+cy+d=0.
There is exactly one circle passing through the
points (1,1),(−1,−2),(1,1),(−1,−2), and (0,0).(0,0). Find an
equation for this circle.

(3) Let D denote the disk in the xy-plane bounded by the circle
with equation y2 = x(6−x). Let S be the part of the
paraboloid z = x2 +y2 + 1 that lies above the
disk D.
(a) Set up (do not evaluate) iterated integrals in rectangular
coordinates for the following.
(i) The surface area of S.
(ii) The volume below S and above D.
(b) Write both of the integrals of part (a) as iterated
integrals in cylindrical...

?^2?′′ − ??′ + (? − 3)? = 0
Classify the differential equation given below. Find the
solution using the appropriate methods

Consider the equation y'' + 4y = 0.
a) Justify why the functions y1 = cos(4t) and y2 = sin(4t) do not
constitute a fundamental set of solutions of the above
equation.
b) Find y1, y2 that constitute a fundamental set of solutions,
justifying your answer.

NEED ANSWERS ASAP PLEASE
Part II. Multiple Choice:
6. If y2 – 8y +7 = 0, what are the possible values of
y?
A. -1 and -7
B. -1 and 7
C. 1 and -7
D. 1 and 7
7. What is the simplest form of (√3 + √z) (√3 - √z)
A. 3 - 2√z
B. 3 - 2√3z
C.3 – z
D.3z
8. Which of the
following describes how these two inequalities will look when
graphed together?
2y -...

] Consider the autonomous differential equation y 0 = 10 + 3y −
y 2 . Sketch a graph of f(y) by hand and use it to draw a phase
line. Classify each equilibrium point as either unstable or
asymptotically stable. The equilibrium solutions divide the ty
plane into regions. Sketch at least one solution trajectory in each
region.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 8 minutes ago

asked 15 minutes ago

asked 18 minutes ago

asked 19 minutes ago

asked 31 minutes ago

asked 49 minutes ago

asked 50 minutes ago

asked 55 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago