Question

Identify the following as the equation on a parabola, ellipse, or hyperbola:

x^2-16y^2+64y-208=0

a) state what it is

b) depending on what it is, find the direction, coordinates of the center, vertex or vertices, foci, and the equation of asymptotes.

Answer #1

Complete the square to write the equation of the
sphere in standard form.
x^2+y^2+z^2+5x-2y+10z+21=0
Find the center and radius

given P(x)= 2(x-1)(x+1)^2(x+2) answer the following a) what is
the leading term of P(x) b) what is the degree of p(x) c) as x
approaches infinity, the function P(x) _____ d) as x approaches
negative infinity, the function P(x)______ e) how many turning
points does it have? f) what are the coordinates of the x
intercepts? g) find the coordinates of the P intercepts

Kx^2+x+9K=0
i) Evaluate the discriminant for this quadratic equation
ii) What does it mean when we say the quadratic equation has one
repeated solution?
iii) How does the discriminant enable us to tell wether our
quadratic equation has one repeated solution?
iv) Show all necessary work to find the value(s) of K that will
cause this equation to have one repeated solution.
v) Replace K with the value(s) you found in part iv and write
the quadratic equations that has/have...

11) Let p(x) = (4x^2-9)/(4x^2-25)
(a) What is the domain of the function p(x)?
(b) Find all x- and y-intercepts.
(c) Is function p(x) an even or odd function?
(d) Find all asymptotes.
(e) Find all open intervals on which p is increasing or
decreasing.
(f) Find all critical number(s) and classify them into local
max. or local min..
(g) Sketch the graph of p. [Please clearly indicate all the
information that you have found in (a)–(f) above.]

given that f'(x)=-3x^2 -6x answer the following
what inteeval is f(x) increasing or decreasinf
find x coordinates of all inflection points of f(x)
on what interval is f(x) concave up and down
suppose (-2,0), (1,0) and (0,4) are intercepts of f(x) whose
domain is all real. sketch a possible graph of f(x)
find f(x) by integrating f'(x) and intercept information from
above
find all global extrema on interval [-1,5]
show work please and thanks in advance :)

use f(x)=2x^4-4x^2-4 to answer the following.
a) find where f(x) is increasing or decreasing
b) find where f(x) is concave up or down
c) find the coordinates of all relative extrema

The position of a particle is given in cm by x = (2)
cos 6πt, where t is in seconds.
(a) Find the maximum speed.
m/s
(b) Find the maximum acceleration of the particle.
m/s2
(c) What is the first time that the particle is at x = 0
and moving in the +x direction?
s

Consider Poisson distribution f(x|θ) = (e^−θ) [(θ^x) / (x!)] for
x = 0, 1, 2, . . .
Let the prior distribution for θ be f(θ) = e^−θ for θ >
0.
(a) Show that the posterior distribution is a Gamma
distribution. With what parameters?
(b) Find the Bayes’ estimator for θ.

Consider the following data:
x
−4
−3
−2
−1
0
P(X=x)P(X=x)
0.3
0.1
0.1
0.2
0.3
Copy Data
Step 2 of 5 :
Find the variance. Round your answer to one decimal place.

find the following for the function f(x)=3x^2+4x-4
a. f(0) b. f(3) c. f(-3) d. f(-x) e. -f(x) f. f(x+2) g. f(4x) h.
f(x+h)

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