1 answer

Show all work please!!! 8) Use 5 terms of the binomial formula to approximate the square...

Question:

Show all work please!!!

8) Use 5 terms of the binomial formula to approximate the square root of 15.

8) Use 5 terms of the binomial formula to approximate the square root of 15.

Answers


We look at Binomial expansion of (1 - 2x)^\frac{1}{2} to approximate \sqrt{15} .

We know that

(1 + x)^n = 1 + \frac{n}{1}x + \frac{n(n-1)}{1*2}x^2 + ...

Thus, the expansion of (1 - 2x)^\frac{1}{2} is

                                                      = 1 - x -\frac{1}{2}x^2 - \frac{1}{2}x^3 -\frac{5}{8}x^4 ...

For x=-7 ,

(1 - 2x)^\frac{1}{2}=(1 - 2(-7))^\frac{1}{2}=\sqrt{15}

So

\begin{align*} \sqrt{15}& \sim 1 - (-7) -\frac{1}{2}(7)^2 - \frac{1}{2}(-7)^3 -\frac{5}{8}(-7)^4\\ & =1 +7 -\frac{1}{2}7^2 +\frac{1}{2}7^3 -\frac{5}{8}7^4\\ &=8-24.5+171.5-1500.625\\&=-1345.625 \end{align}

.

Similar Solved Questions

1 answer
Required information Problem 4-5A Record transactions, post to the Cash T-account, and prepare the statement of...
Required information Problem 4-5A Record transactions, post to the Cash T-account, and prepare the statement of cash flows (LO4-7) The following information applies to the questions displayed below Rocky owns and operates Baboe's Gym located in Philadelphia. The following transactions occur for ...
1 answer
For a standard normal distribution, find: P(0.61 < z < 2.92)
For a standard normal distribution, find: P(0.61 < z < 2.92)...
1 answer
10. (30 points) Counterexamples. The following argument is not valid. Show this by building a counterexample. (You can describe the counterexample however you like, including using English.) Let your...
10. (30 points) Counterexamples. The following argument is not valid. Show this by building a counterexample. (You can describe the counterexample however you like, including using English.) Let your universe in your counterexample consist of three puppies: applesauce, bubbles, and chiclet. (You may...
1 answer
FI Foods produces processed foods. Its basic ingredient is a feedstock that is mixed with other...
FI Foods produces processed foods. Its basic ingredient is a feedstock that is mixed with other ingredients to produce the final packaged product. JFI purchases the feedstock from two suppliers, Rex Materials and Red Oak Chemicals. The quality of the final product depends directly on the quality of ...
1 answer
0 Mava=mV6 XvP Soma = Moub - Vaan. Determination of the castante Weak Acid D. Concentration...
0 Mava=mV6 XvP Soma = Moub - Vaan. Determination of the castante Weak Acid D. Concentration of Unknown Acid Trial 3 - Trial Trial Volume of unknown acid Average molarity of NaOH from above mL of NaOH at equivalence point Molarity of unknown acid Average molarity (show calculations) Standard deviatio...
1 answer
What happens to a firm that reinvests its earnings at a rate equal to the firm's...
What happens to a firm that reinvests its earnings at a rate equal to the firm's required return? Multiple Choice a)Its stock price will remain constant. b)Its stock price will increase by the sustainable growth rate. c)Its stock price will decline unless the dividend payout ratio is zero. d)Its...
1 answer
Which of following cellular structures ONLY in prokaryotic cell? mitochondria pili lysosomes
Which of following cellular structures ONLY in prokaryotic cell? mitochondria pili lysosomes...
1 answer
If you find that (CoC142 (aq)] = 0.306 M, [Co(H20).2+(aq)] = 0.76 M, and (Cl-(aq)] =...
If you find that (CoC142 (aq)] = 0.306 M, [Co(H20).2+(aq)] = 0.76 M, and (Cl-(aq)] = 0.193 M at 4°C, what is value of AG at 4°c, in kJ/mol?...
1 answer
A volume of 30.0mL of a 0.810\it M \rm HNO_3 solution is titrated with 0.340\it M...
A volume of 30.0mL of a 0.810\it M \rm HNO_3 solution is titrated with 0.340\it M \rm KOH. Calculate the volume of \rm KOH required to reach the equivalence point...
1 answer
PLEASE ANSWER ALL PARTS. says theres 5 parts remaining. if you know the parts please answer...
PLEASE ANSWER ALL PARTS. says theres 5 parts remaining. if you know the parts please answer them. thank you Score: 0 of 1 pt 4 of 4 (2 complete) 9.2.19-T A simple random sample of siren is drawn from a population that is normally distributed. The sample mean, is found to be 16.7, and the sample s...
1 answer
When preparing a tax return, it is important to complete each step in the order prescribed....
When preparing a tax return, it is important to complete each step in the order prescribed. Click in each entry field then type the prescribed step. Step A: Determine Adjusted Gross Income Equals Less Step B: Calculate Taxable Income Larger of itemized deductions or standard deduction Less Equals St...
1 answer
16. With advancing age, the major change in the cardiovascular system involves vascular leading to and...
16. With advancing age, the major change in the cardiovascular system involves vascular leading to and 17. The term pica refers to the consumption ofsubstances such as 18 Muscular Bkely to develop when a leg is immobilized in a cast. 19. Paralysis of the lower part of the body is called 20. Virchow&...
1 answer
Solve the equation for the indicated variable. ; solve for h S = 2arh + 2ar?
Solve the equation for the indicated variable. ; solve for h S = 2arh + 2ar?...
1 answer
How do you integrate #int 1/sqrt(25-t^2)# by trigonometric substitution?
How do you integrate #int 1/sqrt(25-t^2)# by trigonometric substitution?...
1 answer
Healthlabs Ltd. purchased lab equipment for $18,300 on January 1, 2020. At that time, management determined...
Healthlabs Ltd. purchased lab equipment for $18,300 on January 1, 2020. At that time, management determined that the equipment would have a useful life of three years with no residual value and that the straight-line depreciation method would be used. On January 1, 2021, management revised its initi...
3 answers
Graph circle: pre cal
x^2+y^2-8x-6y+21=0...
1 answer
.At locations A and B, the electric potential has the values ?A=1.95 V and ?B=5.57 V,...
.At locations A and B, the electric potential has the values ?A=1.95 V and ?B=5.57 V, respectively. A proton released from rest at one of these locations passes through the other location. Using the formulas from below (I'm having trouble manipulating these formulas to get the answer), what is i...