Find the value of the integral from 2 to 6 of the natural log of x, dx using four rectangles of equal width, with each right end-point used to find the height of each rectangle.
Answers
Answer: Choice B.
ln(3) + ln(4) + ln(5) + ln(6)
=======================================================
Explanation:
Refer to the diagram below. It shows four rectangles each of base 1. Their height varies depending on the output of the natural log function.
More specifically the heights are ln(3), ln(4), ln(5) and ln(6) from left to right. Note how this corresponds exactly to the points on the y = ln(x) curve such that they are the upper right corners of the Riemann Sum rectangles. These corner points are points A,B,C,D.
Since each base is 1 unit wide, this means each rectangle's area is equal to the height. More thoroughly, we say that
area = base*height = 1*f(x) = f(x), where x takes on the values from {3,4,5,6}
Side note: As the diagram shows, we have an overestimate of the actual area under the curve from x = 2 to x = 5.
Related Questions
I WILL MARK BRAINLIEST! DUE IN 10 MINS!
Write an expression to represent the situation.
A fire jet flies at an altitude of 25,000 feet and then dives to a depth of 600 feet below sea level. What is the difference in its elevation?
Answers
Answer:
25,600 feet in difference
Step-by-step explanation:
If the jet is 25,000 feet above sea level then dives 600feet below sea level that will be 25,600 feet in difference.
25,000 - - 600
25,000 + 600
25,600
Find the slope of the line graphed below.
Answers
Answer:
slope = 5/3
Step-by-step explanation:
(in case you need it in intercept form)
y = 5/3 + 1
which expression is equivalent to 2cos2(x/2)-cos(x)
Answers
The expression that is equivalent to 2cos²(x/2) - cos(x) is 1.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
We can use the double angle identity for cosine, which states that:
cos(2θ) = 2cos²(θ) - 1
To simplify given expression expression by putting cos(x) = 2cos²(x/2) - 1 as follows:
= 2cos²(x/2) - cos(x)
= 2cos²(x/2) - 2cos²(x/2) + 1 (using the identity cos(2θ) = 2cos²(θ) - 1)
= 1
Therefore, the expression that is equivalent to 2cos²(x/2) - cos(x) is 1.
Learn more about trigonometry equations here:
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Can someone please help me, I really need it
Answers
Answer:
∠EGA = 123°
∠EHD = 57°
Step-by-step explanation:
Determine the measure of ∠EGA:
Since ∠EGB and ∠EGA make up the angle of a straight line (180°):
∠EGB+∠EGA = 180
57+∠EGA = 180 (given that ∠EGB = 57°)
∠EGA = 123°
Determine the measure of ∠EHD:
∠EHD = ∠EGB (corresponding angles of parallel lines are equal)
∠EHD = 57° (given that ∠EGB = 57°)
Hope this helps :)
Two radio stations are playing the #1 hit song "2 Nice 2 B True" by Anita and the Goody-2-Shoes. WMTH plays the song every 12 minutes. WMSU plays the song every 8 minutes. Both stations play the song at 3:00 P.M. When is the next time the stations will play the song at the same time?
Answers
Answer:
03:24 PM
Step-by-step explanation:
Given
[tex]Start\ Time = 3:00PM[/tex]
WMTH = Every 12 minutes
WMSU = Every 8 minutes
Required
Determine when they both play the song
To do this, we simply solve for the LCM of 8 and 12
List the factors of 8 and 12
[tex]8 : 8, 16, 24...[/tex]
[tex]12: 12, 24, 36...[/tex]
From the above, the least common multiple is 24
This means that the song will be played on both stations 24 minutes after 3:00PM
In other words, 03:24 PM
Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How many fish does Ms. Montesinos have in her tank?
a) Write a let statement below to define your variable(s):
b) Set up an equation using the variable you defined in (a):
c) Solve your equation & Check. How many fish does Ms. Montesinos have? JUST TYPE THE NUMBER. EXAMPLE: IF SHE HAS 17 FISH JUST TYPE "17"
d) Upload a picture of your SOLUTION & CHECK.
plz help me plzz
Answers
Answer:
Ms. Montesinos has 5 fish in her tank
Step-by-step explanation:
a) Let y = the amount of fish Ms. Montesinos
b) 3y-2=13
c)
3y-2+=13+2
3y/3=15/3
y=5
It’s the red one but tell me why plz now hurry 4 min left
Answers
Answer:
you can plug in x to find y then use them as coordinates to find your answer.
Step-by-step explanation:
ex:
y=((1)-4)^2-3
y= (-3)^2-3
y=9-3
y=6
so then check to see if (1,6) is a point in that line.
Plz helppp
1 7/9 divided by 4/5
* In the lowest terms*
(NO DECIMAL ANSWERS)
Answers
Answer:
2 2/9
Hope this helps!
Ms. Santana paid $46 for 5 candles. Each candle cost the same amount. What was the cost of each movie candle in dollars and cents?
Answers
Answer:
$9.20
Step-by-step explanation:
Answer
9.20
Step-by-step explanation:
Need answers ASAP 15 points!
Answers
Answer:
Step-by-step explanation:
Part A: 5/26
Part B: 5/26+ 1/2 which is 18/26 or 9/13
Part C: 5/26 +21/25. 'without replacing' means there is one less option in the bag. So denominator becomes 26-1=25. Numerator is 21 because there are a total of 21 consonants in the alphabet. Since we removed a vowel and not a consonant, it will remain 21.
Simplify the expression: 18.1 - 1.1(7.4 - 9.6 + 0.5) please show your work!
Answers
Answer:
19.97
Step-by-step explanation:
18.1 - 1.1 x (7.4 - 9.6 + 0.5)
18.1 - 1.1 x (-2.2 + 0.5)
18.1 - 1.1 x (-1.7)
18.1 + (1.87)
19.97
The simplified value of the expression 18.1 - 1.1(7.4 - 9.6 + 0.5) is 36.8.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 18.1 - 1.1(7.4 - 9.6 + 0.5).
let us multiply each term of the expression to remove the decimal.
∴ 181 - 11(74 - 96 + 5).
= 181 - 11(-17).
= 181 + 187.
= 368 but the actual answer is 36.8 as we have to divide by 10.
learn more about numerical expressions here :
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Find the value of s(5) in function s(x)=2^x+10
Answers
Answer:
42
Step-by-step explanation:
For this, all you need to do is replace x with 5
S(5) = 2^5 + 10
2 x 2 x 2x 2 x 2
4 8 16 32
32 + 10 = 42
Courtney needs to go to the library, the doctor's office, and her friend's house. How many different ways can she make the stops?
Answers
6 different ways
what is 25 divided by 9
Answers
Answer:
25/9=2.77777777778
Step-by-step explanation:
The horizontal axis in the sampling distribution of ModifyingAbove p with caret represents all possible sample proportions from a simple random sample of size n. Bold (a )What percent of sample proportions results in a 90% confidence interval that includes the population proportion? Bold (b )What percent of sample proportions results in a 90% confidence interval that does not include the population proportion?
Answers
Complete Question
The horizontal axis in the sampling distribution of [tex]\^p[/tex] represents all possible sample proportions from a simple random sample of size n.
a. What percent of sample proportions results in a 90% confidence interval that includes the population proportion?
b. What percent of sample proportions results in a 90% confidence interval that does not include the population proportion?
Answer:
a
90% of all possible sample proportions
b
(100% - 90% = 10% ) of all possible sample proportions
Step-by-step explanation:
Generally given from the question that the horizontal axis of a represent all possible sample proportion then then the percent of the sample proportion that result in 90% interval that includes the population proportion is 90% of all possible sample proportions
Generally given from the question that the horizontal axis of a represent all possible sample proportion then the percent of the sample proportion that result in 90% interval that does not include the population proportion is (100% - 90% = 10% ) of all possible sample proportions
36 - 7 (8+6-9) what is the answer to this question
Answers
Answer:
The answer is 1.
Step-by-step explanation:
=36 - 7 (8+6-9)
=36-56-42+63
=-20-42=-62+63
=1
Answer:
36-7(8+6-9)
29(5)
145
Which expression is equivalent to
(3) ?(-3)^2
HELP PLEASE
Answers
Question Progress
Homework Progres
Solve the inequality 5x – 7 > 4x + 8
Answers
Answer:
x > 15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define inequality
5x - 7 > 4x + 8
Step 2: Solve for x
Subtract 4x on both sides: x - 7 > 8Add 7 on both sides: x > 15Here we see that any value x that is greater than 15 would work as a solution to this inequality.
what is 2x^2+3x-7=x^2+5x+39
Answers
I NEED HELP FIJCMIEDF
Answers
Answer:
i sure for the bottom one is 3
Two similar triangles are shown below
Which two sets of angles are corresponding angles?
a. < a and
b.
c.
d.
if someone could help plz do :(
Answers
Answer:
a
Step-by-step explanation:
a and d and b and c share the same symbol that represents their angle. therefore, they are corresponding.
Q2) The graph shows the speed of a firework shell during a flight of 20 seconds:
250
200
150
(s/u) paads
100
50
O
2
4
6
8
10
12
14
16
18
20
Time (s)
a) Work out the rate of change during the first 4 seconds.
b) Work out the rate of change between 8 seconds and 12 seconds.
Answers
Answer:
a. 37.5
b. 25
Step-by-step explanation:
a. Rate of change the first 4 seconds can be calculated using the points (0, 0) and (4, 150):
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{150 - 0}{4 - 0} = \frac{150}{4} = 37.5 [/tex]
b. Rate of change between 8 seconds and 12 seconds using the points (8, 150) and (12, 250):
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{250 - 150}{12 - 8} = \frac{100}{4} = 25 [/tex]
how do you add or subtract [-10]+12
Answers
Answer:
it is really just 12-10 because 10 is negative think of it as you are taking away ten from the original 12 you have so the answer is 2
Answer:
2
Step-by-step explanation:
Add 12 to -10
10+-10=0+2=2
simplify this expression: 11k - 3 + 4k + 8
Answers
Answer:
15k+5
Step-by-step explanation:
11k-3+4k+8
=(11k+4k) (-3+8)
=15k+5
Answer:
5(3k+1)
Step-by-step explanation:
11k-3+4k+8 collect like terms calculate
15k+5 factor the expression
5(3k+1) or 15k+5
what is what3 2/3 + 3/5 as a fraction brainly
Answers
Answer:
It is 4 4/15
Step-by-step explanation:
We convert 2/3 and 3/5 to fifteenths because we cant add numbers with different denominators.
2/3 = 10/15 | 3/5 = 9/15
10/15 + 9/15 = 19/15 = 1 4/15. Then, we add the 3.
3 + 1 4/15 = 4 4/15.
Seth family plans to drive 220 miles to their vacation spot. They would like to complete the drive in 4 hours. Find the average speed in miles per hour needed to make the trip in the desired time.
Answers
Answer:
55 mph
Step-by-step explanation:
The family would have to drive an average of 55 mph. You find this by dividing 220 miles total by the 4 hour time allotment. ;)
HEY BIT**ES I FINESHED MAH MAKEUP AND I NEED YALL FINE A**ES TO RATE ME
Answers
Answer:
THIS IS WORTH $1,000,000!!! DEFINITELY 100/10 LIKE FOR SURE!!!! :)))))
Answer:
I LOVE IT 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/10 beautiful
There were 56 birdhouses at school. Today, 4 classes made more birdhouses. Each class
made 8 birdhouses. How many total birdhouses are there now?
2. Mr. Dent had 32 markers in his classroom. He buys new boxes of markers that have 9
markers in each box. Now, he has 86 markers. How many new boxes did he buy?
3. Jayson had 274 postcards in his collection. He wanted to give Sam some of his postcards.
Jayson gave Sam 8 postcards from each set below:
• Arts
• Sports
• Schools
• Parks
• Beaches
• Sunsets
How many postcards does Jayson have left?
Answers
Answer:
88 birdhouses
6 new boxes
226 postcards
Answer:
1. 88
2. 6
that's all, and when you do problems like this later, don't forget the order of operations!
Which digits repeat in the decimal number 28.1543?
1543
543
3
43
Answers
Answer:
43
Step-by-step explanation:
there is a line above the 43, meaning that it ends in 434343434343434343434343434343...... You get the point.
Answer:
43
Step-by-step explanation:
What is the value of X
Answers
Answer:
20 degrees
Step-by-step explanation:
Y is 90 degrees.
lets find the measure of the other angle, 180-110 is 70.
using this info let’s find X.
180-(70+90)
180-160
20