f(x) (1 5x) 30 a Find the first four terms, in ascending powers of x, in the binomial expansion of f(x) b Use your answer to part a to estimate the value of (0 995) 30 , giving your answer to 6 decimal places c Use your calculator to evaluate 0 995 30 and calculate the percentage error in your answ...

To find the first four terms in the binomial expansion of fx 1 5x30 well use the binomial theorem wh ...

f(x) = (1 5x) 30 a. Find the first four terms, in ascending powers of x,

Question:

f(x) = (1 − 5x)³⁰

a. Find the first four terms, in ascending powers of x, in the binomial expansion of f(x).

b. Use your answer to part a to estimate the value of (0.995)³⁰, giving your answer to 6 decimal places.

c. Use your calculator to evaluate 0.995³⁰ and calculate the percentage error in your answer to part b.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

See More Books

Question Posted: Jul 15, 2023 02:55 AM

See More Questions

a) Find the first four terms in the expansion of (1 x/2) 8 in ascending powers of x. b) Use these terms to find the value of (0.99) 8 giving your answer correct to 4 decimal places.
a) Find the first four terms in the expansion of in ascending powers of x. b) Hence determine the value of (1.05) 10 correct to 2 decimal places. (1+ x 10
a. Expand (1 2x) 10 in ascending powers of x up to and including the term in x 3 . b. Use your answer to part a to evaluate (0.98) 10 correct to 3 decimal places.
Can you provide an example of when you led a previous organization through a major operational change? Did you encounter any obstacles and how did you motivate and guide your team through these...
Jack, the owner and manager of Jacks Box Company, wants to monitor usage at Work Center 3, which is a bottleneck in the system. He has collected data on the planned and actual input and output. (a)...
Perform the test in Problem 9.17, and report a p-value? Hypertension Polyunsaturated fatty acids in the diet favorably affect several risk factors for cardiovascular disease. The principal dietary...
What do you like best about working at this company?
Lubricants, Inc., produces a special kind of grease that is widely used by race car drivers. The grease is produced in two processing departments: Refining and Blending. Raw materials are introduced...
Suppose your starting salary is $50,000. You would like to open a savings account to save for your retirement and any large future expenses. Most Economists agree that you should allocate 20% of your...
a. Expand (1 2x) 10 in ascending powers of x up to and including the term in x 3 , simplifying each coefficient in the expansion. b. Use your expansion to find an approximation of 0.98 10 , stating...
a. Find the first three terms, in ascending powers of x, of the binomial expansion of (5 + px) 30 , where p is a non-zero constant. b. Given that in this expansion the coefficient of x 2 is 29 times...
Use the graph of the rational function in the figure shown to complete each statement in Exercises 1520. 1 -5 -4 -3 -2 -1 Vertical asymptoto: x = -2 y 2+ - 1+ -1+ 1 2 Horizontal asymptoto: y = 1 + 3...
A industrial waste treatment facility receiving 1 MGD of flow needs to build a new reactor to treat chromium(VI) waste from an electroplating operation. Cr(VI), present in water as HCrO4- can be...
What will be printed when the following code executes? xList [-1, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0,6] y = xList.pop(5) y=xList.insert( 6, 6) print(xList)
Q10. Many old clocks use a pendulum to keep time. If each swing from one side to the other takes 1 second, the clock is said to have a "seconds pendulum. What length is required to build such a clock...
Tesla manufactures solar power batteries The variable materials cost is $13.14 per unit, and the variable labor cost is $7.89 per unit. What is the variable cost per unit? Suppose the company incurs...
Highest Marginal Tax Rate: the highest rate of tax you pay at. *8a) If you are single with a taxable income of $45,000 then what is your highest marginal tax rate? *8b) If you are single with a...
Assume that Company Z, which sells two products, has changed its sales mix so that it sells a higher proportion of the product with the higher CM. What will be the impact on the break-even level of...
Differentiate. y = ln(3x + 1) ln(5x + 1)
Compare the percentage of Caucasian and African American women who are overweight. Report a two-tailed p-value?
Compare the distribution of BMI between Caucasian and African American women using this finer classification. Report a two-tailed p-value? A more exact classification of BMI is as follows: <25 is...
Perform a simulation study, and generate 100 participants from a binomial distribution with p = .2 and 100 participants from a binomial distribution with p = .1. Test to determine whether the...
Using the equilibrium data for nicotine extraction provided in example 27.4-3 in your text (Geankoplis), determine the number of theoretical steps needed to reduce the nicotine concentration in water...
Determine the Bravais lattice and basis of the 2D graphene lattice. Express the lattice vectors in terms of the orthonormal vectors of Cartesian space (, , 2). How many atoms are there per unit cell?
What minimum energy, in MeV, must a neutron possess to be considered relativistic? From a volume standpoint, approximately how much larger is a U-238 nucleus compared to a H-1 nucleus? What is the...

f(x) = (1 5x) 30 a. Find the first four terms, in ascending powers of x,

Question:

Step by Step Answer:

To find the first four terms in the binomial expansion of fx 1 5x30 well use the binomial theorem wh...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Students also viewed these Mathematics questions