If x and y are floating-point numbers, then the evaluation off(x, y)- Væ²= -x – Vx – yin a floating point system may be very inaccurate due to cancellation. To illustrate, use baseb = 10, precision k = 4, idealized, chopping floating-point arithmetic below. (a) Let x =and determine the relative error.-123.4 = -0.1234 × 103 and y1.234 = 0.1234 x 10', evaluate fl(f(x,y))(b) Determine a different way to evaluate f (x, y) which does not suffer from subtractivecancellation.(c) Repeat part (a) using the new form of f(x, y) that you derived in (b) to show that itdoes not suffer from subtractive cancellation for the given values.

Given:- If x and y are floating point number then the evaluation is:…

If x and y are floating-point numbers, then the evaluation of f(x, y) : = -x – Vr2 - Y in a floating point system may be very inaccurate due to cancellation. To illustrate, use base b = 10, precision k = 4, idealized, chopping floating-point arithmetic below.

If x and y are floating-point numbers, then the evaluation of f(x, y) : = -x – Vr2 - Y in a floating point system may be very inaccurate due to cancellation. To illustrate, use base b = 10, precision k = 4, idealized, chopping floating-point arithmetic below.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: You are buying a car. Would you prefer a higher rate for a lower term or a lower rate for a longel…

A: Given that You are buying a car. Would you prefer a higher rate for a lower term or a lower rate for…

Q: how yo write 24/40 in its simplist way

Q: Does the symbol for infinity (q) represent a real number?

A: Yes, the symbol for infinity (∞) represents a real number. Infinity (∞) means a very big number.…

Q: Expand the expression by using Pascal's triangle : (2x+4y)^7

Q: Give an example of an addition problem with three addends that would be much easier to solve…

A: According to the commutative property of addition, For all real numbers a, b , (a + b)=(b + a)

Q: 1.1 Simplify: (a) 3+3 (200-12+2) (b) 13,56+37,099 x 18,925 10-4+1 (d) (c) 2x3

Q: The lodgepole pine is a tree that uses the intense heat of a fire to release its seeds from their…

A: In Yellow stone national park, after burning, scientists gets 2 million lodge-pole pine seeds per…

Q: (7V4)(5–16)

A: Given, 745-16

Q: what is 3.613e-05 (scientific notation) in decimal numbers?

A: Given that what is 3.613e-05 (scientific notation) in decimal numbers?

Q: can this be solved without the excel command being using please?

A: The obtained test statistic value is 0.96.

Q: How would you write out the decimal .4507 in english? Our professor wants it in english and then in…

A: 0.4507

Q: . Expand: (i) (2x - 3y)4

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: What is mAB? 9x 10x-3 mAB =

Q: Earlier this year, 240 caribou were caught and tagged. In a recent survey, 60 out of 350 caribou…

A: GivenThe total number of caribou tagged (population) =240The number of caribou caught this year…

Q: How would I write 3,022 and 18,741 in Babylonian notation?? Could you please explain step by step…

A: Consider the number, 3022 To convert in Babylonian notation, 3022=50×601+22×600 So the Babylonian…

Q: Use Pascal's triangle to expand the expression: (a-b)^6

Q: 1 1 (х3-x4) dx 4x1/2

A: We will split the function and evaluate the integration one by one.

Q: First train leaves at 11:30 am. Second leaves at 12:30pm. The answer focuses on 0.50t. Can you show…

Q: Convert the given mathematical expressions into its corresponding C++ language expression using the…

Q: Can anyone elplain what these jumbled numbers are supposed to tell me? Thank you!

Q: Explore the concept of congruence in modular arithmetic and how it's used in solving equations…

Q: True or false: if the discriminant is -22, the formula cannot be simplified further.

A: We have given the discriminant D= -22

Q: State FIVE (5) ways in which technology can be used to enhance the learning of Mathematical concepts…

A: Please check the next step for details

Q: What is an arithmetic operation

A: Arithmetic operators take numerical values (either literals or variables) as their operands and…

Q: Leonhard Euler approached negative numbers by describing how they "ought to" behave arithmetically…

Q: R(60)

A: Given , No. S R 1 20 1600 2 25 800 3 30 250 4 35 300 5 40 800 6 45 1400 Where, S…

Q: Suppose some computations were done on a calculator. The result displayed was 3.31E28 for one…

A: (a) 3.31E28=? In scientific notation(b)5.9E-36=?

Q: (-0.0159x* + 0.2301x³ – 1.2034x² + 2.6595x + 0.0661)²

A: Given, -0.0159x4+0.2301x3-1.2034x2+2.2034x2+2.6595x+0.06612 We know that, a2=a×a…

Q: 8. Kanishan is trying to understand the following problem. 2x(x² – 3x) – 4(x³ + 2x²). His friend…

A: To simplify the below expression fully: 2x(x2-3x)-4(x4+2x2)

Q: Use the numbers 5 and 4 to illustrate the commutative property of multiplication.

Q: How did you arrive at 7200t + 12800t

A: Given , Two automobiles start from a point A at the same time. One travels west at 80 km/hr and the…

Question

If x and y are floating-point numbers, then the evaluation of
f(x, y)
- Væ²
= -x – Vx – y
in a floating point system may be very inaccurate due to cancellation. To illustrate, use base
b = 10, precision k = 4, idealized, chopping floating-point arithmetic below.

(a) Let x =
and determine the relative error.
-123.4 = -0.1234 × 103 and y
1.234 = 0.1234 x 10', evaluate fl(f(x,y))
(b) Determine a different way to evaluate f (x, y) which does not suffer from subtractive
cancellation.
(c) Repeat part (a) using the new form of f(x, y) that you derived in (b) to show that it
does not suffer from subtractive cancellation for the given values.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Tree$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

How do you know if a number is written in scientific notation?
The value of x is 3 at the beginning, if you are writing a computer code like below, what is the next value of x after the code? if (2 + 3 = 5) AND (3+4 = 1) then x = x +2, so x= ? just write the result as a numerical value Yanıt:
13) The integer n = a) If n = 3 (mod 9), then what is x ? b) If n = 3 (mod 11), then what is x ? Hint for #13: 12700140x3243243 is missing the digit x. Consider the number 1234. By writing each digit in scientific notation, we have 1234 1 x 10³ +2× 10² +3 × 10¹ + 4 × 10⁰ Then notice that 10 = 1 (mod 9). When we reduce mod 9, we obtain 1234 1 x 10³ +2× 10² +3 x 10¹ + 4 x 10⁰ = = 1x 1³ + 2 x 1² + 3 × 1¹ + 4 × 1⁰ = 1+ 2+ 3+ 4 = 10 = 1 (mod 9). Since 10 = -1 (mod 11), when we reduce mod 11, we obtain 1234 1 x 10³ +2× 10² +3 x 10¹ + 4 x 10⁰ = = 1x (-1)³ +2× (-1)² +3 × (-1)¹ +4× (-1)⁰ = -1 + 2-3 + 4 = 2 (mod 11).
Write this term in mathematic language: bcos(ax)^2, a-(sort(5)-1)/2