Question: Propose an algorithm for computing the following expression that avoids the loss of precision: f(x) =sqrt(1/1-x)-sqrt(1/cos(x)) for x 0. i used the conjugate and then

Propose an algorithm for computing the following expression that avoids the loss of precision: f(x) =sqrt(1/1-x)-sqrt(1/cos(x)) for x 0.

i used the conjugate and then the common denominator and got sec(x)/x

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

Problem 1 (2 pts): Consider a computer that uses five-decimal-digit numbers. Let fl(x) denote the floating-point machine number closest to x. Let x = 0.5321487513, y = 0.5321304421, and z =...

Q:

Python and most Python libraries are free to download or use, though many users use Python through a paid service. Paid services help IT organizations manage the risks associated with the use of...

Q:

problem 2 and problem 4 Thank you ! Problem 1 (2 pts): Consider a computer that uses 6-decimal-digit numbers for mantissa Let fl(2) denote the floating-point machine number closest to r. Let x =...

Q:

PROBLEM 1 (5 pts): If - 1 f(x) 1 + In(1+x) is computed in fl-arithmetic by the straightforward algorithm then there will be a loss of precision for x close to zero. Briefly explain why. Next, propose...

Q:

1 PROBLEM 1 (5 pts): e f(2)= 1+ In(1+r) is computed in fl-arithmetic by the straightforward algorithm then there will be a loss of precision for I close to zero. Briefly explain why. Next, propose an...

Q:

Problem 2 (3 pts): If f(1) = 31+2 -1 is computed in fl-arithmetic by the formula (3.0 +2 +1.0)/(1.0 - ) - 1.0/1.0 - 2+2) then there will be a loss of precision for 2 close to zero. Explain why....

Q:

Problem 2 (3 pts): If(x) +Lis computed in fl-arithmetic by the formula (3.0*7 + 1.0)/(1.0- 2) - 1.0/1.0 - *x) then there will be a loss of precision for a close to zero. Explain why. Propose an...

Q:

using matlab code 2. Instead of the LU decomposition, we can also use a UL decomposition to solve the system of linear equations. In particular, given A ERXn, we decompose A=UL, where U ER"Xn is unit...

Q:

Problem 2 (3 pts): If f(x) = 32 +1 -12 is computed in fl-arithmetic by the formula (3.0*+1.0)/(1.0 x) 1.0/(1.0 ***) then there will be a loss of precision for a close to zero. Explain why. Propose an...

Q:

Discuss the following statement: Union security means job security for union members.

Q:

Baskin-Robbins is one of the worlds largest specialty ice cream shops. The company offers dozens of different flavors, from Very Berry Strawberry to lowfat Espresso n Cream. Assume that a local...

Q:

Multiple answers Describe the treasury stock method for options and warrants as used in the computation of diluted earnings per share. When the treasury stock method is used, income is adjusted for...

Q:

SIMAD UNIVERSITY Class: BACC25 Subject: Islamic Accounting Instructions: a) Follow The Instructions. Midterm Exam Instructor: All Ibrahim Date: 6-4-2022 b) You Have 1.5 Hrs. To Complete This Test. c)...

Q:

9. Describe the characteristics of power.

Q:

5. The month of Ramadan, a month of fasting for Muslims, ends with which holiday? a. Eid ul-Fitr b. Allahu Akbar c. Takbir d. Abu Bakr

Q:

2. What is the name of the dish that features black-eyed peas and rice (although sometimes collards, ham hocks, stewed tomatoes, or other items) and is served in the South, especially on New Years...