For the transfer function in question 4, use the Skogestad’s
“Half Rule” method to find an...
For the transfer function in question 4, use the Skogestad’s
“Half Rule” method to find an approximate
second-order-plus-time-delay model of the form
Ke-θs/{(τ1s+1)(τ2s+1)} and determine the values of
A. Use the Product Rule or the Quotient Rule to find the
derivative of the function.
g(x) = x3 cot(x) + 6x cos(x)
B. Use the Product Rule or the Quotient Rule to find the
derivative of the function.
f(x) =
x2 + x − 7
x2 − 7
C. Use the Product Rule or the Quotient Rule to find the
derivative of the function.
f(x) = (8x2 + 4)(x2 − 6x − 9)
Find all zeros of the polynomial function. Use the Rational
Zero Theorem, Descartes's Rule of Signs, and possibly the graph
of the polynomial function shown by a graphing utility as an aid in
obtaining the first zero or the first root.
f(x)=2x4-17x3+13x2+53x+21
The zeros of the function are?
The rule of the derivative of a function f is given. Find the
location of all local extrema.
f'(x) = (x2- 1)(x - 2)
Group of answer choices
Local maxima at -1 and 2; local minimum at 1
Local maximum at 1; local minima at -1 and 2
Local maximum at -1; local minima at -2 and 1
Local maximum at 2 - ; local minimum at 2 +
On Matlab use BFGS Method to find the minimum of the following
function: f(x) = x13 -
2x2x12 + x12
- x1using initial point (x0, y0) =
(1, 2)T to start, and stop when f changes less than
0.0001
Find the half-range expansions of the given function. To
illustrate the convergence of the cosine and sine series, plot
several partial sums of each and comment on the graph (using
words).
f(x) = 1 if 0 < x < 1.
f(x) = π-x if 0 ≤ x ≤ π.
f(x) = x2 if 0 < x <1.
A
system has the transfer function H(s)=3(s2+7 s)/(s2+8s+4). Draw a
Bode plot of the transfer function and classify it as lowpass,
highpass, bandpass, or bandstop. Draw the Direct Form II for this
system.
Consider the function: Y = XA1/4 *
XB3/4
a) Find the value of the function at the point (81,16).
b) Find the first order partial derivatives and evaluate them at
the point (81,16). Interpret your results.
c) Suppose that xA decreases 3 units and xB increases 4 units.
Using the small increments formula, calculate the impact of these
changes in the value of the function y.
d) Suppose that we don’t want to change the value of y, but we...