All categories

3 years ago

Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

8 0

Answer:

-1392.09
-1744.43
-1636.41

Step-by-step explanation:

using the given integral

calculate: Δx = (12-0) / 8 = 3/2

Xo = 0, f(x) = $x^3sin(x)$

X1 = 3/2 , X2 = 3, X3 = 9/2, X4 = 6, X5 = 15/2, X6 = 9, X7 = 21/2, X8 = 12

Inputting the given values into the Trapezoid rule, midpoint rule and Simpson's rule to approximate the given integral with the specified value of n = 8

You might be interested in

Naty bought a dress for $24.95 and a skirt for $14.95.

FrozenT [24]

Answer:

Total items = $39.90

Sales tax amount = $3.7905

Total cost = $43.691

The clerk's error is using 9.5 as sales tax amount instead of finding 9.5% of the total items

Step-by-step explanation:

Dress = $24.95

Skirt = $14.95

steps the clerk completed.

Step 1: 24.95 + 14.95 = 39.90

Step 2: 39.90 +9.5 = 49.40

Correct steps:

Total items = dress + skirt

= $24.95 + $14.95

= $39.90

Sales tax = 9.5%

Sales tax amount = 9.5% of total

= 9.5/100 × $39.90

= 0.095 × 39.90

= $3.7905

Total cost = Total + sales tax amount

= $39.90 + $3.7905

= $43.6905

To the nearest hundredth

= $43.691

Sales tax is the amount of money imposed by government on the sales of some items

Total cost is the cost of all items including sales tax

7 0

2 years ago

Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will h

zhannawk [14.2K]

Answer:

314,118

Step-by-step explanation:

5 0

2 years ago

Julio is paid 1.4 times his normal hourly rate for each hour he works over 32 hours in a week. Last week he worked 43 hours and

nekit [7.7K]

Answer:

$r = \$14.71$

Step-by-step explanation:

Given

Normal Hour = 32 hours

Overtime = Hours above 32

Rate for Overtime = 1.4 times normal rate

Earnings = $535.62

Required

Determine the normal hour pay

First, we need to determine the hours worked overtime.

This is:

$Overtime = 43 - 32$

$Overtime = 11$

The equation that binds all the parameters is:

$Earnings = Normal\ Hour * Normal\ Rate + Overtime * Overtime\ Rate$

This gives:

$535.62 = 21 * r + 11 * 1.4r$

$535.62 = 21r + 15.4r$

$535.62 = 36.4r$

Solve for r

$r = 535.62/36.4$

$r = \$14.71$

4 0

2 years ago

Write a Let" statement for the unknown, write an equation, and solve the equation. 11. Jane bought a number of records for $7 ea

Advocard [28]

Let n = number of records.

Each record costs $7, so n records cost 7n.

She then spent $3, so the total spent is 3n + 3.

She spent a total of $24, so 3n + 3 must equal 24. That gives us the following equation.

7n + 3 = 24

Subtract 3 from both sides.

7n = 21

Divide both sides by 7.

n = 3

Answer: She bought 3 records.

3 0

3 years ago

How much money will the movie theater make if a birthday party of 12 kids each buys a box of candy and a soda but does not go se

Hunter-Best [27]

Answer:

$93

Step-by-step explanation:

12(3.75+4.00)

= 93

4 0

3 years ago