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
stepan [7]
3 years ago
11

The region R enclosed between the graph of the function y=x^2−4x+5 and the x-axis for 0≤x≤4 is partitioned into four subinterval

s. Determine the areas of the four rectangles using MRAM and then approximate the area of R. Round areas to the nearest hundredth. Show and explain your work.
The answer I got for this problem is 9 square units.

Mathematics
2 answers:
Paul [167]3 years ago
8 0

Answer:

9 units²

Step-by-step explanation:

f(x) = x² - 4x + 5

Four intervals, their midpoints and f(MP) for heights:

0≤x<1 --> 0.5 --> 3.25

1<x≤2 --> 1.5 --> 1.25

2<x≤3 --> 2.5 --> 1.25

3<x≤4 --> 3.5 --> 3.25

All four intervals have a width of 1 unit

Sum of areas = total area

= 1×3.25 + 1×1.25 + 1×1.25 + 1×3.25

= 9

Marina CMI [18]3 years ago
7 0

Answer:

9.00 square units

Step-by-step explanation:

The width of the interval is 4 − 0 = 4.  Divided by 4 equal subintervals, the width of each subinterval is 4/4 = 1.

The subintervals are:

0 ≤ x ≤ 1

1 ≤ x ≤ 2

2 ≤ x ≤ 3

3 ≤ x ≤ 4

MRAM is midpoint rectangular approximation method.  So we use the midpoints of each interval to find the height of the rectangle:

f(0.5) = (0.5)² − 4(0.5) + 5 = 3.25

f(1.5) = (1.5)² − 4(1.5) + 5 = 1.25

f(2.5) = (2.5)² − 4(2.5) + 5 = 1.25

f(3.5) = (3.5)² − 4(3.5) + 5 = 3.25

So the total approximate area is:

A = 3.25 + 1.25 + 1.25 + 3.25

A = 9.00

Graph: desmos.com/calculator/x8dcibqszo

You might be interested in
Evaluate 11011-101 base 2
choli [55]

11011 - 101 = 10110 (putting the zero in front does not matter)

Base two only accommodate 1's and 0's. Base two are called binary.

Check the picture below

Note 10 - 1 in binary equals 1

when we borrow to 1, that zero becomes 10, then 10 minus 1 equals 1.

For similar question check the link : brainly.com/question/17099589?referrer=searchResults

7 0
2 years ago
Read 2 more answers
Convert 13ltr into volume​
Norma-Jean [14]

Answer:

3.43424 (US liquid gallon)

Step-by-step explanation:

6 0
3 years ago
Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3 kid's meal for his little brother. Charlie has $
Marina CMI [18]

Answer:

So if Charlie only has $27 to spend and hes already buying $3 kid's meal that leaves him with $24 to spend for 6 sandwiches. If you divide 6 by 24, 24/6 leaves him with $4 to spend on each sandwich.

Step-by-step explanation:

5 0
3 years ago
What is the solution to the inequality?
nika2105 [10]
7x + 18 > -3

Subtract 18 from both sides, 
7x > -21

Divide from 7, 
x > -3

In short, Your Answer would be Option D

Hope this helps!
7 0
3 years ago
Read 2 more answers
If you bent length 44 cm is bent into a circle find the radius of the circle?If the same wire is bent into the shape of a square
Tju [1.3M]

Answer:

r = 7 cm; l = 11cm

The circle encloses more area than the square

Step-by-step explanation:

(a) Radius of circle

The formula for the circumference of a circle is

A = 2πr

r = A/(2π)

Data:

C = 44 in

Calculation:

r = 44/(2 × 22/7)

   = 44/2 × 7/22

   =   2/2 × 7

   = 7 in

(b) Side of square

P = 4l

l =   P/4

  = 44/4

  = 11 in

(c) Areas

(i) Circle

A = πr²

  = 22/7 ×   7²

  = 22/7 × 49

  = 22    ×   7

  = 154 cm²

(ii) Square

A = l²

  = 11²

  = 121 cm²

The circle encloses more area than the square.

5 0
3 years ago
Other questions:
  • What are the two essential types of insurance?
    6·1 answer
  • Classify the triangle based on the side lengths 18 , 22 , 40.
    15·2 answers
  • What is the horizontal asymptote of the function f(x)=(x-2)/(x-3)^2
    14·2 answers
  • Please help i dont understand it and the end of grading cycle is today!
    5·1 answer
  • Which statement is true about the graphs of the two lines y = -5/4x + 2 and y =-5/4 x-1/2 ?
    9·1 answer
  • What conclusions can you draw from the distances that you recorded in Question 7?
    6·2 answers
  • -5(x+7)&lt;-10<br> solve for x
    8·2 answers
  • Compare positive and negative slope for linear relationships. How are they the same? How are they different?
    5·1 answer
  • If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB I
    13·2 answers
  • 9 members of a club. Need 3 officers. How many combinations are possible.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!