The integral ∫[3 to 7] x/(2 + x^4) dx can be expressed as a limit of Riemann sums. The Riemann sum is an approximation of the integral by dividing the interval [3, 7] into subintervals and evaluating the function at sample points within each subinterval.
To express the integral as a limit of Riemann sums, we start by dividing the interval [3, 7] into n equal subintervals. Let Δx be the width of each subinterval, given by Δx = (b - a)/n, where a = 3 is the lower limit and b = 7 is the upper limit. Hence, Δx = (7 - 3)/n = 4/n.
Next, we choose the right endpoints of each subinterval as our sample points. So, for the i-th subinterval, the sample point is xi = a + iΔx = 3 + i(4/n).
Now, we can express the integral as a limit of Riemann sums. The Riemann sum for the given integral is:
Σ[1 to n] (x_i)/(2 + (x_i)^4) Δx
Substituting the values for xi and Δx, we get:
Σ[1 to n] ((3 + i(4/n)) / (2 + (3 + i(4/n))^4)) (4/n)
This Riemann sum represents the approximation of the integral using n subintervals and the right endpoints as sample points. To obtain the integral, we take the limit as the number of subintervals approaches infinity, which is expressed as:
lim[n→∞] Σ[1 to n] ((3 + i(4/n)) / (2 + (3 + i(4/n))^4)) (4/n)
Evaluating this limit will yield the exact value of the integral. However, since we were asked to express the integral as a limit of Riemann sums without evaluating the limit, we stop here and leave the expression in terms of the limit.
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Question 1 of 5
What is the circumference of a circle with a diameter of 6 feet? Use 3.14 for tt.
A. 18.84 ft
B. 28.26 ft
C. 37.68 ft
D. 9.42 ft
Answer:
The answer is A. 18.84
Step-by-step explanation:
Hope this helps =)
Find the volume of a cylinder that has the following dimensions. Do not round your answer. (Use 3.14 for TT.)
radius: 5 cm
height: 0.25 m
volume =
cm
Answer:
volume is πr^h
Step-by-step explanation:
3.14*5*5*0.25 is 1962.5cm^2
in m^2 it would be 19.625
if f (x) = x² – 3, then find f (8) =
Answer:
61
Step-by-step explanation:
[tex]f(8)=8^2-3=64-3=61[/tex]
Please help!
Given A= [2 -7 6 1] and B= [-9 5 1 -1]
IT X-A=B, what is X?
Answer:
Option A, Or Option 1
Step-by-step explanation:
-7 -2
7 0
(3)
23
-1
2
0
d
2
e
4.
f
d =
e-
f=
Answer:
Step-by-step explanation:
this is the formula using a calculator hit 2nd then x^2 and the number you want then enterTWENTY POINTS
PLEASE HELP ASAP DONT STEAL POINTS
Multiplying the radical by a number between 0 and 1 causes the graph of the parent function ( f(x)= √x ) to ___________.
Answer:
FOR YOU LOVE
Step-by-step explanation:
If a function is defined by a radical expression, we call it a radical function. The square root function is f(x)=√x f ( x ) = x . ... A radical function is a function that is defined by a radical expression.
THE PIC IN ABOVE IS EQUATION TRY TO ANSWER IT
PLEASS MARK ME AS BRAINLIEST LOVE YOU STAY SAFE
Which equation represents the line that passes through the point (1, 5) and has a slope of -2?
Answer:
y=-2x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-2(x-1)
y=-2x+2+5
y=-2x+7
Which of the following equations are equivalent? Select three options.
2+x=5
X+ 1 = 4
09+X=6
X+(-4)=7
0-5+ X= -2
Answer:
2+x=5
X+1=4
0-5+X= -2
These are the answers
can you help me with this
Answer:
[tex]140[/tex]°
Step-by-step explanation:
This polygon has [tex]9[/tex] sides, so it's a nonagon. The expression used to find the sum of the measures of the interior angles of any polygon is [tex]180(n-2)[/tex]° where [tex]n[/tex] is the number of sides the polygon has. In this case, [tex]n=9[/tex], so the sum of the measures of the interior angles of this polygon is [tex]180(9-2)=180*7=1260[/tex]°.
We are given that this is a regular polygon (with 9 sides), meaning that all of its interior angles have the same measure, and we also know that the sum of the measures of its interior angles is [tex]1260[/tex]°. Therefore, each interior angle measures [tex]\frac{1260}{9}=140[/tex]°. Hope this helps!
Step 1: Give an example of an equation that has a variable on both sides. (YES YOU GET TO MAKE UP YOUR OWN EQUATION) Step 2: After you create your equation, explain with words how you would solve your equation. Make sure you explain each step and the properties you would use. Your answer should be in paragraph form. *
Answer:
3m = 3m
Step-by-step explanation:
Divide both sides by 3, and you get m = m
disappointing but this was all i could think of sorry
Sofia made 10% of her free throws over the season. If she shot 160 free throws, how many did she make?
Answer:
16
Step-by-step explanation:
160 * 10% = 16
160 * 0.1 = 16
look at the picture please help.
Answer:
Under 1: $3.25
Under 3: $9.75
Under 5: $16.25
Cost for 15 pounds = $48.75
Answer:
1 pound= $3.25
3 pounds=$9.75
5 pounds=$16.25
15 pounds =$48.75
Step-by-step explanation:
1x3.25=3.25
3x3.25=9.75
5x3.25=16.25
15x3.25=48.75
Ada is making rice. The instructions call for 2 1/4 cups of water for 1 cup of rice. Ada is using only 1/3 cup of rice.
Answer:
3/4 cup of water
Step-by-step explanation:
2.25 (2 1/4) divided by 3 (or times 1/3) is 3/4
The required number of cups of water is 3/4 cups of water
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The number of cups of rice = 1 cup
The number of cups of water for making rice = 2 1/4 cups of water
So the equation for
The number of cups of water for 1/3 cups of rice =
Number of cups of water for making rice / 3
The number of cups of water for 1/3 cups of rice = 2 ( 1/4 ) / 3
= 9/4 / 3
= 3 / 4 cups of water
Therefore , the number is 3/4 cups of water
Hence , The required number of cups of water is 3/4 cups of water
To learn more about equations click :
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Which coordinates represent a translation of B(1, 2) 3 units to the left and 2 units up?
B′(–2, 0)
B′(–2, 4)
B′(4, 4)
B′(4, 0)
Answer:
(-2,4)
Step-by-step explanation:
B(1,2)
(x-3, y+2)
1-3=-2
x=(-2)
2+2=4
y=4
Hope this helps! :)
Answer:
B'(-2, 4)
Step-by-step explanation:
If it goes 3 units left, that means you're doing x - 3.
If it goes 2 units up that means you're doing y + 2 This would be:
(1 - 3, 2 + 2)
(-2, 4)
Amanda has $56.10 in her bank account in March. In May she has 4 times as much money in her account than she did in March. In June she adds $75.22 to her account. How much money does Amanda have in her account in June?
Answer:
$299.62
Step-by-step explanation:
Amanda has $56.10 in his bank account in march
In May he has 4 times this money
= 56.10×4
= 224.4
In June she add $75.22 to the money
= 224.4 + 75.22
= 299.62
Hence in June Amanda has $299.62 in her account
help PLEASE!!! [URGENT]
If the sum of the measures of the three angles shown is 163°, what is the measure of ZCEB? I need help ASAP!!!!
Answer:
24 degree
Step-by-step explanation:
sum of all three angles = 163
x + 4x + 2x + 5 - 10 = 163
7x - 5 = 163
7x = 163 + 5
x = 168/7
x = 24
Answer:
24 degree
Step-by-step explanation:
I have to solve this
4x-5=2-x
Answer:x=7/5
Step-by-step explanation:
Answer:
x= [tex]\frac{7}{\\5}[/tex]
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x−5=2−x
4x+−5=2+−x
4x−5=−x+2
Step 2: Add x to both sides.
4x−5+x=−x+2+x
5x−5=2
Step 3: Add 5 to both sides.
5x−5+5=2+5
5x=7
Step 4: Divide both sides by 5.
[tex]\frac{5x}{5}[/tex] = [tex]\frac{7}{5}[/tex]
What is the fifth term in the expansion of (3x - 3y)??
X²4A
Answer:
4
Step-by-step explanation:
2x-y+8z=13
3x+4y+52=18
5x-2y-72=20
Answer:
Answer is above (In the image).
Step-by-step explanation:
I am not sure if that is what you were looking for. To convert it to decimals, just input the figures into your calculator.
In my opinion the best way to solve these equations are elimination, therefore I will be giving my answer in this way!
2x-y+8z=13 1️⃣
3x+4y+52=182️⃣
5x-2y-72=203️⃣
We first combine liked terms in equation 2 and 3.
2️⃣turns into 3x+4y=-34 let's call it 2️⃣'
3️⃣turns into 5x-2y=92 let's call it 3️⃣'
Then solve for x
3️⃣'*2
10x-4y=184
3️⃣+2️⃣
13x=150
x=150/13
Now substitute the x back into equation 2️⃣'
3*150/13+4y=-34
450/13+4y=-442/13
4y=-892/13
2y=-446/13
y=-223/13
Now we can substitute this back into 1️⃣ to solve for z
2*150/13- - 223/13+8z=169/13
523/13+8z=169/13
8z=-354/13
4z=-177/13
z=-177/52
This problem is kind of messy so let me restate my answer!
x=150/13
y=-223/13
z=-177/52
I really hoped this is correct and it helped, and would appreciate it if you give me brainlliest! If you have any more questions about my solution please ask me in the comments!
Having trouble solving this:
Answer:
option c.
1/100
.........................
Answer:
0.01= [tex]\frac{1}{100}[/tex]
Examine this expanded form.
1
(a)(a)(a)(a)(a)(a)
Which is the expression in exponential form?
6-a
6a
a-6
6a-1
Answer:
*drumroll* It's C. a-6,babes <33
Step-by-step explanation:
Did this in Edge,hope it helps >3<
Answer:
C
Step-by-step explanation:
edge 2021
Evaluate the expression for the given value of the variable.
6 × (h + 4) for h = 3
The answer is
Answer:
42
Step-by-step explanation:
6*(3+4)6*7
42
Answer:
42
Step-by-step explanation:
[tex]6 \times 3 + 6 \times 4 \\ 18 + 24 = 42[/tex]
Which expression is equivalent to |a|≤5 ?
a ≥ –5 or a ≤ 5
a ≥ –5 and a ≤ 5
a ≤ –5 and a ≥ 5
a ≤ –5 or a ≥ 5
Answer:
The answer would be a>-5 or a< 5
Step-by-step explanation:
I hope this helps, let me know if i'm incorrect
On a coordinate map of Melville, a restaurant is located at (-6,-5). A laundry business is located 3 units to
the left of the restaurant on the map.
What are the map coordinates of the laundry business?
The coordinates of the laundry business are
Answer:
(-9, -5)
Step-by-step explanation:
The cost of 7 scarves is $85.75. What is the unit price
Answer:
The cost of 1 scarf is $12.25 each.
Step-by-step explanation:
How to find the volume of a cone?
in 10 years time a father Will be twice as old as his daughter.10 years ago he was six time as old as his daughter.How old is each now
Answer:
Step-by-step explanation:
let fathers age now be x
daughters age now be y
10 years hence
(x+10)= 2(y+10)
x+10 = 2y+20
x-2y=10
10 years ago
(x-10)= 6(y-10)
x-10 = 6y-60
x-6y=-50
x-2y=10
x-6y=-50
subtract the equations
4y=60
y=15 daughter's age now
substitute y in x-2y=10
so x=40 present father's age
pls mark brainliest
Answer:
Let the age 10 years ago of daughter be ( x years ) and age of father would be ( 6x years )
After 10 years, age of father = ( 6x + 10 + 10 )
= ( 6x + 20 ) years
And Age of daughter will be = ( x + 10 + 10 )
= ( x + 20 ) years
ATQ,
6x + 20 = 2( x + 20 )
=> 6x + 20 = 2x + 40
=> 6x - 2x = 40 - 20
=> 4x = 20
=> x = 5
Hence, Present age of daughter = ( x + 10 )
= ( 5 + 10 )
= 15 years
Present age of father = ( 6x + 10 )
= 6( 5 ) + 10
= 30 + 10
= 40 years
Step-by-step explanation:
your answer Miss.
3 A pair of vertical angles is formed as shown.
175°
(5x + 30)
Which best represents the value of ?
A 29
B 1
C31
D41
Answer:
A - 29
Step-by-step explanation:
5x + 30 = 175
5x +30 -30 = 175 - 30
5x = 145
5x ÷ 5 = 145 ÷ 5
X = 29
A person walks 1/3 of a mile every half hour. How far
would the person walk in 2
hours?
Answer:
1 1/3 miles
Step-by-step explanation:
1/3 is for a half-mile, so double it to 2/3 for one mile.
Now double it again for two hours.
2/3 + 2/3 = 1 1/3 miles in two hours
Answer:
The person will walk 1 1/3 miles in 2 hours.
Step-by-step explanation:
There are 4 half-hours in 2 hour
1/3*4=4/3 or 1 1/3 miles