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zlopas [31]
4 years ago
8

The function f(x = 2x + 1 is defined over the interval [2, 5]. if the interval is divided into n equal parts, what is the value

of the function at the right endpoint of the kth rectangle?

Mathematics
2 answers:
NISA [10]4 years ago
8 0

Answer:

5+k.

Step-by-step explanation:

As you can see in the image I made the example with n=6. In general, if the interval is divided into n equal parts we have that te right value of x in the kth rectangle (Rk) is

Rk = 2+ (1/2)k

So, f(Rk) = f(2+(1/2)k) = 2(2+(1/2)k)+1 = 4+k+1 = 5+k.

vodka [1.7K]4 years ago
3 0
By "<span>f(x = 2x + 1" you likely meant "f(x) = 2x + 1."

The given interval is [2,5], and so the width of each interval is (5-2)/n, or (3/n). Since we are using right end points, the x value at the right endpoint of the kth rectangle is 2+k(3/n).  Examples:  if k=1, the value at the right endpoint is 2+1(3/n); if k=2, 2+2(3/n), and so on.  If k=n, then the value at the right endpoint is 2+n(3/n), or 2+3=5, which agrees with the given interval [2,5].

Once again, the given function is f(x) = 2x + 1.
At x = 2+k(3/n), the value of the function is 2[2+k(3/n)] + 1 (Answer).  Check:  If k=n, x = 2 + n(3/n) = 2+3 + 5, and f(5)=2(5) + 1 = 11.</span>
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Step-by-step explanation:

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7 0
3 years ago
I need answer Immediately pls!!!!!!
Illusion [34]

Given:

Total number of students = 27

Students who play basketball = 7

Student who play baseball = 18

Students who play neither sports = 7

To find:

The probability the student chosen at randomly from the class plays both basketball and base ball.

Solution:

Let the following events,

A : Student plays basketball

B : Student plays baseball

U : Union set or all students.

Then according to given information,

n(U)=27

n(A)=7

n(B)=18

n(A'\cap B')=7

We know that,

n(A\cup B)=n(U)-n(A'\cap B')

n(A\cup B)=27-7

n(A\cup B)=20

Now,

n(A\cup B)=n(A)+n(B)-n(A\cap B)

20=7+18-n(A\cap B)

n(A\cap B)=7+18-20

n(A\cap B)=25-20

n(A\cap B)=5

It means, the number of students who play both sports is 5.

The probability the student chosen at randomly from the class plays both basketball and base ball is

\text{Probability}=\dfrac{\text{Number of students who play both sports}}{\text{Total number of students}}

\text{Probability}=\dfrac{5}{27}

Therefore, the required probability is \dfrac{5}{27}.

3 0
3 years ago
A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an a
svetoff [14.1K]

The profit equation which relates P, profit to N, quantity produced and sold is:

P=17.75N-750

What is the total cost function?

The total production cost function, whereby total cost is C is as given below:

C=750+15.95N(look at a similar question provided)

What is the total revenue function?

The total revenue function is as given below:

R=33.70N

The profit is the excess of total revenue over total cost, in other words, profit is the total revenue minus total cost

P=33.70N-(750+15.95N)

P=33.70N-750-15.95N

P=33.70N-15.95N-750

P=17.75N-750

Find out more about profit function on: brainly.com/question/25668243

#SPJ1

Similar question:

A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book printed. The total production cost C (in dollars) is given by the function C=650+18.95N , where N is the number of books. The total revenue earned (in dollars) from selling the books is given by the function R=32.80N . Let P be the profit made (in dollars). Write an equation relating P to N . Simplify your answer as much as possible.

4 0
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I have 8 3/4 cups of nuts that I want to put into 3/4 cup bags. How many 3/4 cup bags can I make
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