use the given zero to find the remaining zeros of each
polynomial function
23. f(x)=x^3-4x^2+4x-16; zero; 2i
27. x^4-9x^3+21x^2+21x-130; zero: 3-2i
Find the complex zeroes of each polynomial function. Write f in
factored form.
35. f(x)=x^4+5x^2+4
I tried using Descarte's rule for questions 23 and 27, but I
don't what to do after that. Also, after you explain the steps I
need to solve the question, could you help understand why these
steps are necessary?
1) Find the Taylor series (to second order terms) of the
function f(x,y) = x^2 −4x + y + 9 around the point x = 3, y =
−1.
2)Explain why the corresponding Taylor Series (to third order
terms) will be the same as the second-order series.
2. Find the maximum value of the objective function z = 4x + 6y
where x ≥ 0 and y ≥0, subject to the constraints
a. −x + y ≤ 11
b. x+ y ≤ 27
c. 2x+ 5y ≤ 90
please do a detailed graph so i can understand better.
1. You are given the function f(x) = 3x^4 + 4x^3
a) Find the x and y- intercepts.
b) Find the critical number(s) of f.
c) Find the interval(s) of increase and decrease of f.
d) Find the relative maximum and minimum value(s) of f.
e) Find the hypercritical number(s) of f.
f) Find the interval(s) of upward and downward concavity of
f.
g) Find the point(s) of inflection of f.
h) Sketch the graph of f.
2. You are...
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded
to 2 decimal places.
f '(3)=
3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).
f '(x)=
4. Find the derivative of the function f(x)=√x−5/x^4
f '(x)=
5. Find the derivative of the function f(x)=2x−5/3x−3
f '(x)=
6. Find the derivative of the function
g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your
answer.
g '(x)=
7. Let f(x)=(−x^2+x+3)^5
a. Find the derivative. f '(x)=
b. Find f '(3)=
8.
Let f(x)=(x^2−x+4)^3
a. Find the...
consider the linear non-homogeneous recurrence relation of order
three x(n)+x(n-1)-4x(n-2)-4x(n-3)=16
find the eigenvalues of the recurrence relation, the closed form
solution, and based on the dominant Eigen value determine if x(n)
has longterm exponential growth