Mathematics High School

Express the limit as a definite integral on the given interval.
n lim Σ [4(xi*)3 − 7xi*]Δx, [2, 5]
n→[infinity] i = 1 ∫ ( ________ ) dx
2

Answers

Answer 1

The given limit can be expressed as a definite integral on the interval [2, 5] by using the definition of a Riemann sum:

lim Σ [4(xi*)3 − 7xi*]Δx, [2, 5]
n→[infinity] i = 1

This can be rewritten as:

lim Σ [(4(xi*)3 − 7xi*)/2] 2(n/2)Δx, [2, 5]
n→[infinity] i = 1

where Δx = (5 - 2)/n = 3/n and xi* is any point in the ith subinterval [xi-1, xi]. We have also divided n into 2 equal parts to get 2(n/2)Δx.

Now, we can express the above Riemann sum as a definite integral by taking the limit of the sum as n approaches infinity:

lim n→[infinity] Σ [(4(xi*)3 − 7xi*)/2] 2(n/2)Δx

= lim n→[infinity] Σ [(4(xi*)3 − 7xi*)/2] (5-2)/n (n/2)

= lim n→[infinity] Σ [(4(xi*)3 − 7xi*)/2] (3/2)

= ∫2^5 [(4x^3 − 7x)/2] dx

Therefore, the limit can be expressed as the definite integral:

∫2^5 [(4x^3 − 7x)/2] dx.

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Answer:

Step-by-step explanation:

∠3=95 (corresponding angle)

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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What is mean by expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

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Hence, In the product rule of the exponents,

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Answers

Answer:

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Step-by-step explanation:

Diameter is two times the radius

I think this is correct I'm not to sure

hope this helps :)

on squared paper draw the triangle with vertices at (1,1) , (5,3) , (3,5). find the area of the triangle​

Answers

Answer:

lol

Step-by-step explanation:

j

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41,692.58

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D. 9

Answers

5 hope that helped :)

Answer:

5 is in the tenths place

Step-by-step explanation:

2 is in the ones place, 8 is in the hundredths place, and 9 is in the tens place.

if anyone is able to help please do :)

Answers

Answer:

49.12?

Step-by-step explanation:

half circle= 4 squared *3.14/2=25.12

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25.12+24=49.12

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Answers

1/6! Any fraction that represents less than a half of a whole is less than 1/2. You could also convert them to the same denominator and see the difference. Make sure whatever you do to the first fraction, you do to the other!

Answer:

1/6 and 4/10

Step-by-step explanation:

1/2 = 0.5 and 0.5 is greater than 1/6 which is 0.166666666667 and 4/10 which is 0.4.

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ice cream container is 1.5%.
Select all the expressions that could be used to find the greatest number of ounces of ice cream each container can
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64(1.015)
64(1.5)+64
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Answers

Answer:

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Step-by-step explanation:

The target number is 64 and the error is 1.5%

Possible number is

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The top limit is:

64 + 64(0.015) or64*(1.015)

Correct choices are B and F

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Answer:

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Step-by-step explanation:

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step 2. 89 x 3=267

step 3. 267 + 178=445

Question 7:

step 1. 35 x 3= 105

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Your're welcome :)

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Answers

Answer: look at the picture and I don’t know how to solve for b but I can do h

Step-by-step explanation: hope this help :)

Answer:

i dont know

Step-by-step explanation:

i dont know

Will give Brainly! Please help!

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Answer:

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Hope this helps!

Select the correct answer.
The surface area (SA) of a cube with a as the length of each of its sides is given by the formula SA = 6a2. If the surface area is known, how can
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ОА va
OB. VSA
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OD. =

Answers

Answer:

(A). [tex]\sqrt{\frac{SA}{6} }[/tex]

Step-by-step explanation:

Round to the nearest tenth.

x=

y=

Answers

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:Number of children = 2 and number of adults = 9 attended the play

Step-by-step explanation:

Step 1

Let the  number  of children be represented as  x

and the number of adults in the group  be represented as  as y

such that the total number of the group that went to the play

= x+y=11--- equation 1

And the total cost paid for the play will be expressed as

15x+  22y= 228------ equation 2

Step 2-- Solving

x+y=11--- equation 1

15x+  22y= 228------ equation 2

B y elimination method, multiply equation 1 by 15 to give equation 3  and then subtract from equation 2

15x+  22y= 228------ equation 2

15x+15Y= 165----- equation 3

7y=63

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therefore x = number of children will be

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x+ 9=11

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Answers

Answer:

Neil uses 24 ounces of grapes for the fruit salad.

Step-by-step explanation:

Quantity of grapes = 2 pounds

Use 1 pound = 16 ounces

So,

Quantity of grapes = 2(16) = 32 ounces

Neil uses some grapes to make a fruit salad. Now Neil has 8 ounces of grapes.

Quantity of grapes that Neil use for the fruit salad = [tex]32-8=24[/tex] ounces

Therefore,

Neil uses 24 ounces of grapes for the fruit salad.


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Answers

Answer:

The expressions are equivalent.

Step-by-step explanation:

We can simplify each expression and compare the results.

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Answers

Answer:

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Step-by-step explanation:

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Answer:

مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

an octagonal prism has 8 lateral faces

Answer:

8

Step-by-step explanation:

An octagonal prism has 8 lateral faces.

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Answers

Answer:

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