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STEP Support - Assignment 13
Introduction
This STEP support module practises sketching graphs including consideration of whether they are convex or concave, and using these to determine how many roots of an equation there are. Previous assignments can be found here , but you can do this one without having done the others first.
STEP questions are difficult, they are supposed to be and you should expect to get stuck. However, as you tackle more and more STEP questions you will develop a range of problem solving skills (and spend less time "being stuck").
About this assignment
The assignment is published as a pdf file below. Each STEP Support assignment module starts with a warm-up exercise, followed by preparatory work leading to a STEP question. Finally, there is a warm-down exercise.
The warm up for this assignment introduces the definitions of convex and concave graphs, and also discusses points of inflection .
The main STEP question (2012 STEP 1 Question 2) uses some of these ideas to help sketch some quartics, and use these to determine how many solutions there are of some related equations.
The final question is a problem where all the solutions have to be integers, i.e. a Diophantine equation .
For more advice on tackling problems involving differentiation, try this NRICH Advanced Problem Solving module .
This website describes an algorithm which can be used to solve linear Diophantine equations of the form $ax + by = c$.
Hints, support and self evaluation
The “Hints and partial solutions for Assignment 13” file gives suggestions on how you can tackle the questions, and some common pitfalls to avoid, as well as some partial solutions and answers.
Here is a Worked Video Solution to the STEP question from this assignment.
Useful Links
Underground Mathematics: Selected worked STEP questions
STEP Question database
University of Cambridge Mathematics Faculty: What do we look for?
University of Cambridge Mathematics Faculty: Information about STEP
University of Cambridge Admissions Office: Undergraduate course information for Mathematics
Stephen Siklos' "Advanced Problems in Mathematics" book (external link)
MEI: Worked solutions to STEP questions (external link)
OCR: Exam board information about STEP (external link)
AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)
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Houston Astros
Astros' trade deadline hauls arrive as team parts ways with montero.
Seth Martinez was also optioned to Triple-A Sugar Land to make room for new arrivals Yusei Kikuchi and Caleb Ferguson.
HOUSTON, Texas (KTRK) -- A month and a half after parting ways with Jose Abreu , the Houston Astros are following suit by designating relief pitcher Rafael Montero for assignment.
The 33-year-old was halfway into a three-year, $34.5 million deal .
The club announced the move on Wednesday, a day after completing its trade deadline moves to land former Toronto Blue Jays starting pitcher Yusei Kikuchi and former New York Yankees reliever Caleb Ferguson . Designating Montero and optioning relief hurler Seth Martinez to Triple-A Sugar Land allowed Houston the room for the two new acquisitions on the 40-man roster.
Kikuchi and Ferguson reported to the team Wednesday.
So, what does designating Montero for assignment do?
In short, the Astros are parting ways with the seven-season MLB veteran. The move technically removes him from the 40-man roster, and several avenues will be open over the next week. Houston can place him on waivers, which allows the other 29 MLB teams a chance to claim him. Montero can be released from the Astros if he clears waivers without a claim, allowing him to test free agency. The club can also send him to the minor-league system, but he must consent.
Montero leaving Houston in a trade, which is typical before the trade deadline, is ruled out.
Whether he's released or sent to the minors, he's still due to earn $11.5 million this season and the next from the Astros.
Montero, who entered the MLB as a 23-year-old with the New York Mets in 2014, appeared in 41 games, striking out 23 batters but allowing 20 earned runs across 38.1 innings pitched for a 4.70 ERA. The Astros acquired Montero in a 2021 trade with Seattle.
SEE ALSO: Astros end an era in Oakland with win over A's
Astros salute Mariners fan who grabbed historic Yordan Alvarez ball
Related Topics
- HOUSTON ASTROS
Former Dodgers and Yankees pitcher heads to Houston
Houston trades Loperfido, Billy Wagner's son Will in deadline deal
Astros end an era in Oakland with win over A's
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IMAGES
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Assignment 13 - Instructor is Mr. Jones. Instructor is Mr. Jones. Course. Elements Of Statistics (MATH 1530) 32 Documents. Students shared 32 documents in this course. University Austin Peay State University. Academic year: 2021/2022. Uploaded by: Anonymous Student.
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Divide the following polynomials using synthetic division, then place the answer in the proper location on the grid. Write answer in descending powers of x. (x^4 + 81) ÷ (x + 3) x^3 - 3x^2 + 9x - 27 + 162 / x + 3. All answers are correct. Hope this helps anyone stuck! Learn with flashcards, games, and more — for free.
Express answer in exact form. Find the area of the larger segment whose chord is 8" long in a circle with an 8" radius. (Hint: A chord divides a circle into two segments. In problem 1, you found the area of the smaller segment.) A = { 160/3 π + 16 √ 3 } in^2. Express answer in exact form. A segment of a circle has a 120* arc and a chord of 8 ...
Hints, support and self evaluation. The "Hints and partial solutions for Assignment 13" file gives suggestions on how you can tackle the questions, and some common pitfalls to avoid, as well as some partial solutions and answers. Here is a Worked Video Solution to the STEP question from this assignment.
Math 2280 - Assignment 13 Dylan Zwick Fall 2013 Section 9.1 - 1, 8, 11, 13, 21 Section 9.2 - 1, 9, 15, 17, 20 Section 9.3 - 1, 5, 8, 13, 20 1. Section 9.1-Periodic Functions and Trigonometric Series 9.1.1-Sketch the graph of the function f defined for all t by the given formula, and determine whether it is periodic. If so, find its smallest
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HOUSTON, Texas (KTRK) -- A month and a half after parting ways with Jose Abreu, the Houston Astros are following suit by designating relief pitcher Rafael Montero for assignment. The 33-year-old ...
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English document from Georgia State University, 1 page, MUA 1930. Assignment 13. Jazz. LAST ASSIGNMENT of the semester! Answer the following questions: 1. What are the lowest and highest notes of a chord named F7? (remember, if F is 1, then you need to find the 7th note above it) 2. Listen to the following so
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Assignment: 13. Solutions by Addition. 5.0 (2 reviews) Flashcards; Learn; Test; Match; Q-Chat; Get a hint. In two or more complete sentences, describe a system of equations in which subtraction would be the most efficient way of solving the system.
Section 19:31Z-1.13 - Application for tax credit transfer certificate; assignment (a) A developer may apply to the Director and the Chief Executive Officer of the Authority for a tax credit transfer certificate, during the privilege period in which the Director issues the developer a tax credit pursuant to section 16 at P.L. 2020, c. 156 (N.J.S.A. 34:1B-284) and N.J.A.C. 19:31Z-1.12.
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Stain Size (width) Number of Stains % Frequency 2 mm 5 13. 3 mm 11 30. 4 mm 5 mm 6 mm Total. 10 7 3 36 27. 19. 8. 100. Study the 6 bloodstains in Fig. 2. Draw an arrow indicating the direction of motion fromthe blood source to the target. The head of the arrow should point away from the blood 0; Learning Module 7 Assignment 13: Blood Spatter
Study with Quizlet and memorize flashcards containing terms like 1. Your department is responsible for cleaning all the areas listed on which of the following documents? 1. The compartment checkoff list 2. The Watch, Quarter, and Station Bill 3. The Maintenance and Material Management System 4. The Cleaning, Preservation, and Maintenance Bill, 2. Cleaning gear is stocked and issued from what ...
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