1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
juin [17]
3 years ago
13

(a) Using computer or tables (or see Chapter 7, Section 11), verify that P[infinity] n=1 1/n2 = π2/6=1.6449+, and also verify th

at the error in approximating the sum of the series by the first five terms is approximately 0.1813. (b) By computer or tables verify that P[infinity] n=1(1/n2)(1/2)n = π2/12−(1/2)(ln 2)2 = 0.5822+, and that the sum of the first five terms is 0.5815+. (c) Prove theorem (14.4). Hint: The error is | P[infinity] N+1 anxn|. Use the fact that the absolute value of a sum is less than or equal to the sum of the absolute values. Then use the fact that |an+1|≤|an| to replace all an by aN+1, and write the appropriate inequality. Sum the geometric series to get the result.
Mathematics
1 answer:
mezya [45]3 years ago
4 0

Answer:

i don't really know soryyyy

Step-by-step explanation:

You might be interested in
RS=4y+4, ST=3y+4, and RT=43 <br> What is the value of y?
Shkiper50 [21]

The value of y is 5

<h3>How to determine the value </h3>

From the given line, it can be concluded that:

The segment RT is divided into RS and ST

But we have the following parameters

The length of the sides are:

  • RS=4y+4
  • ST=3y+4
  • RT=43

Since RT is RS added to ST:

We have;

RT = RS + ST

substitute the values

43 = 4y + 4 + 3y + 4

collect like terms

43 = 4y + 3y + 4 + 4

Add like terms

43 = 7y + 8

43 = 7y + 8

Make '7y' subject of formula

7y = 43 - 8

7y = 35

Make 'y' the subject of formula

y = 35/ 7

y = 5

Thus, the value of y is 5

Learn more about segments here:

brainly.com/question/2437195

#SPJ1

5 0
1 year ago
Consider the following functions.<br> f(x) = x^2- 4<br> g(x) = x-2<br> What is (f(x)) (g(x))?
rodikova [14]

Answer:

(f(x) g(x)) = x^3-2x^2-4x+8 ; all real numbers

Step-by-step explanation:

(f(x) g(x)) = (x^{2} -4)(x-2)

              = x^3-2x^2-4x+8  via FOIL

6 0
3 years ago
Show that d^2y/dx^2=-2x/y^5, if x^3 + y^3=1
aalyn [17]

Answer:

y³ + x³ = 1

First, differentiate the first time, term by term:

{3y^{2}.\frac{dy}{dx} + 3x^{2}} = 0 \\\\{3y^{2}.\frac{dy}{dx} = -3x^{2}} \\\\\frac{dy}{dx} = \frac{-3x^{2}}{3y^{2}} \\\\\frac{dy}{dx} = \frac{-x^{2}}{y^{2}}

↑ we'll substitute this later (4th step onwards)

Differentiate the second time:

3y^{2}.\frac{dy}{dx} + 3x^{2} = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} + 6x = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{-x^{2} }{y^{2} })^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{x^{4} }{y^{4} }) = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + \frac{6x^{4} }{y^{3} } = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} = - 6x - \frac{6x^{4} }{y^{3} } \\\\

3y^{2}.\frac{d^{2} y}{dx^{2}} =  - \frac{- 6xy^{3} - 6x^{4} }{y^{3}} \\\\\frac{d^{2} y}{dx^{2}} =  - \frac{- 6xy^{3} - 6x^{4} }{3y^{2}. y^{3}} \\\\\frac{d^{2} y}{dx^{2}} =  - \frac{- 2xy^{3} - 2x^{4} }{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} =  - \frac{-2x (y^{3} + x^{3})}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} =  - \frac{-2x (1)}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} =  - \frac{-2x}{y^{5}}

3 0
2 years ago
Need help with 2-5 plsssss
artcher [175]

Answer:

5) m∠DEF = 18

Step-by-step explanation:

I cant answer the rest because they require a protractor

7 0
3 years ago
Some teenagers collected trash for a beach clean-up. The data for the number of pounds of trash collected by each teenager are s
CaHeK987 [17]
The range of the data is 15
5 0
3 years ago
Other questions:
  • Joseph and Tyler went to the hobby store. They each bought a race car for $15.99. Joseph bought a blue race car for $2.99 and Ty
    13·1 answer
  • Round 10.054 To 2 decimal places
    12·1 answer
  • Angel joined a paperback book club for a $10 membership fee, plus $5.99 per book. Which equation best represents this sentence?
    9·2 answers
  • In a shipment of 22 smartphones, 2 are defective. How many ways can a quality control inspector randomly test 4 smartphones, of
    14·1 answer
  • Frank bought 2 CDs that were each the same price. Including sales tax, he paid a total of 24.20 Each CD had a tax of 0.60 What w
    10·1 answer
  • John gets paid $6 for each of the first 40 toy cars he makes in a week. For any additional toy cars beyond 40, his pay increases
    10·1 answer
  • HELP me on 14 please :)
    12·1 answer
  • What is the length of AC? And Length of AB?
    9·1 answer
  • a colleague needs to move a 500 pound object that's on a lever. the fulcrum is 6 inches from the object. If your colleague weigh
    8·1 answer
  • 5) Cuando 102 se divide por 2/3 la respuesta es
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!