#5 The hyperbolic sine function is defined by sinh x=talet-ex). What drawback could there be in...
The hyperbolic cosine and hyperbolic sine functions, f(x) cosh(x) and g(x) sinh(), are analogs of the trigonometric functions cos(x) and sin(z) and come up in many places in mathematics and its applications. (The hyperbolic cosine, for example, describes the curve of a hanging cable, called a catenary.) They are defined by the conditions cosh(0)-l, sinh(O), (cosh())inh("), d(sinh()- csh) (a) Using only this information, find the Taylor polynomial approximation for cosh(x) at0 of COS degree n = 4. (b) Using only...
Take my hyperbolic sin/cos recursive function place the angle on a sine or cosine stack that represents a call to the sine or cosine. When the program returns, examine the stack for how many times the hyp sine was called and how many times hyp sine/cosine was called vs. the value you inputted into the program. Put the results in a table. Range of values from -1 to 1 in .1 radian increments. Does the number of function calls agree...
03) Use the following rules with the indicated values of x to approximate the given function at x=0.55. (30p) f (x) = ex + x fk k XK 0.20000 1 0.40000 2 0.60000 3 0.85000 4 0.95000 5 a) Forward Difference Formula b) Taylor's Formula (3rd degree ) c) Compare the approximation with each other. Explain that how the approximation could be made better.
(1 point) The density function f (xl) = he-hx, is defined for <x< , with parameter 1 > 0. The likelihood function for the parameter 2 given n independent observations x = (X1, X2,...,xn) is L(xl2) = "e-1E1. Suppose three independent observations X1, X2 and X3 are taken and found to be 0.5447, 1.0291, 1.722. Parta) Evaluate, to two decimal places, the likelihood function for the data given at the point i = 1.26. Below is a plot of the...
PYTHON:please display code in python
Part 1: Determining the Values for a Sine
Function
Write a Python program that displays and describes the equation
for plotting the sine function, then prompts the user for the
values A, B, C and D to be used in the calculation. Your program
should then compute and display the values for Amplitude, Range,
Frequency, Phase and Offset.
Example input/output for part 1:
Part 2: Displaying a Vertical Plot Header
A vertical plot of the...
Give an example of a function f(x, y) that is defined on R2 and has only hyperbolas as its level sets. At the moment I have x2 - y2 = k (where k is a constant) as my answer. But I'm not sure if that is correct. It seems to work except when k = 0, which I'll have only two lines (y = x and y = -x) so I'm not too sure what should I do with it....
The graph of f is shown to the right. The function F(x) is
defined by
for .
a) Find F(0) and F(3).
b) Find F'(1).
c) For what value of x does F(x) have its maximum value? What is
this maximum value?
d) Sketch a possible graph of F. Do not attempt to find a
formula for F. (You could, but it is more work than necessary.)
We were unable to transcribe this imageWe were unable to transcribe this image9-3....
(5 points) A continuous function f, defined for all x, has the following properties: 1. f is decreasing 2. f is concave up 3. f(26) = -5 4. f'(26) = - Sketch a possible graph for f, and use it to answer the following questions about f. A. For each of the following intervals, what is the minimum and maximum number of zeros f could have in the interval? (Note that if there must be exactly N zeros in an...
Q1 2016
a) We want to develop a method for calculating the function f(x)
= sin(t)/t
dt
for small or moderately small values of x. this is a special
function called the sine integral, and it is related to another
special function called the exponential integral. it rises in
diffraction problems.
Derive a Taylor-series expression for f(x), and give an upper
bound for the error when the series is terminated after the n-th
order term. sint = see image
b)we...