Let i. Express f(x) in partial fractions. ii. Hence obtain the expansion of f(x) in ascending powers
Question:
Let
i. Express f(x) in partial fractions.
ii. Hence obtain the expansion of f(x) in ascending powers of x, up to and including the term in x2.
Transcribed Image Text:
f(x) = 4x² + 12 (x + 1)(x - 3)²
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 57% (7 reviews)
i We first express the function fx in partial fractions as follows fx Ax1 Bx3 Cx32 Multiplying both ...View the full answer
Answered By
Darwin Romero
I use a hands-on technique and am approachable to my students. I incorporate fun into my lessons when possible. And while my easy-going style is suitable for many subjects and grades, I am also able to adapt my style to the needs of the student. I can describe myself as friendly, enthusiastic and respectful. As a teacher, we can easily get respect from the students if they would feel respected first
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
a. Express 21/(x - 4)(x + 3)in partial fractions. b. Hence obtain the expansion of 24/(X - 4)(X + 3) in ascending powers of x, up to and including the term in x 2 .
-
Let i. Express f(x) in partial fractions. ii. Hence obtain the expansion of f(x) in ascending powers of x, up to and including the term in x 3 f(x) = 3x (1+x)(1+2x)
-
a. Express 5x 2 + x/(1 - x) 2 (1 - 3x) in partial fractions. b. Hence obtain the expansion of 5x 2 + x/(1 - x) 2 (1 - 3x) in ascending powers of x, up to and including the term in x 3 .
-
Suppose a parent was earning $20,000 per year working at a local firm. The parent then decides to quit his job in order to care for his child, who was being watched by a babysitter for $10,000 per...
-
If the simple CAPM is valid, which of the following situations are possible? Explain. Consider each situation independently. Portfolio Expected Return Standard Deviation Risk-free Market .10 .18 16...
-
A backhoe acquired on January 5 at a cost of $84,000 has an estimated useful life of 12 years. Assuming that it will have no residual value, determine the depreciation for each of the first two years...
-
Listed below are a number of hypothetical research hypotheses. For each hypothesis, identify the independent and dependent variable. a. Male drivers are more likely to exhibit road rage behaviors...
-
Payback Period and Net Present Value If a project with conventional cash flows has a payback period less than the projects life, can you definitively state the algebraic sign of the NPV? Why or why...
-
Image transcription text Moist air flow through a duct which contains a heating element. The moist air enters at 95 kPa, 12 C and (I) = 30%; the flow rate is 6 m3/min. Air leaves the heating element...
-
Find the following integrals. a. b. c. d. e. f. S 1 x +9 dx
-
Show that for small values of x 2 , (1 2x 2 ) 2 (1 + 6x 2 ) 2/3 kx 4 , where the value of constant k to be determined.
-
If r = (x, y), r 1 = (x 1 , y 1 ), and r 2 = (x 2 , y 2 ), describe the set of all points (x, y) such that |r r 1 | + |r r 2 | = k, where k > |r 1 r 2 |.
-
Mary wants an FHA loan to buy a house. She would have these monthly expenses: $536.82Principal and Interest ($100,000 at 5% for 360 months) $ 53.00Property Taxes $ 25.00Homeowners Insurance $...
-
A taxpayer receives unemployment income for the year from their home state. What form should they be expecting to show that they received this income?
-
What are company annual reports? A thorough report describing a company's activities over the past year. A way for a company to increase its stock price. A method for a company to track its...
-
What Are My Goals? How Much Do I Need to Save? What Are My Expenses? How Can I Include Unexpected Expenses? How Will I Stay on Track? (source:...
-
locate a Credit Union or Bank that offers auto loans. Identify a potential new vehicle that you are interested in. Utilizing the purchase price and the Annual Percentage Rate (APR) that is identified...
-
Six criteria must all be satisfied for an expenditure to qualify as a development cost and be eligible for capitalization. Required: Identify each of the six criteria and explain why each one is...
-
Do the three planes x + 2x + x 3 = 4, X X 3 = 1, and x + 3x = 0 have at least one common point of intersection? Explain.
-
The diagram shows a piece of wire, of length 2m, is bent to form the shape PQRST. PQST is a rectangle and QRS is a semicircle with diameter SQ. PT = xm and PQ = ST = ym. The total area enclosed by...
-
A piece of wire, of length 100 cm, is cut into two pieces. One piece is bent to make a square of side x cm and the other is bent to make a circle of radius r cm. The total area enclosed by the two...
-
The diagram shows a water container in the shape of a triangular prism of length 120 cm. The vertical cross-section is an equilateral triangle. Water is poured into the container at a rate of 24 cm 3...
-
Given a 3 year 10% coupon Government Bond issued on January 1st, 2010 and the following Zero Coupon Curve which is 10 basis points above the initial one and being today April 1 st , 2010 April 1st...
-
Problem 2. USING R STUDIO, Suppose you invested $10,000 in 1980. How much money would you have by the end of 2019? Year Return 1926 11.62 1927 37.49 1928 43.61 1929 -8.42 1930 -24.9 1931 -43.34 1932...
-
What potential consequences can arise from the implementation of a policy wherein a company neglects to account for varying levels of risk when calculating the cost of capital for its diverse...
Study smarter with the SolutionInn App