Answers
Answer:
Integrate from 3 to 1 and then you should get 4/3
So C.
Related Questions
HELP NEEDED QUICK WILL GIVE BRAINLY
Question 3 (02.03)
Figure EFGH is reflected about the y-axis to obtain figure E’F’G’H’:
Which statement best describes the relationship between the two figures?
1.Figure EFGH is congruent to figure E’F’G’H’.
2.Figure EFGH is bigger than figure E’F’G’H’.
3.The measure of angle H is equal to the measure of angle E’.
4.The measure of angle H is equal to the measure of angle G’.
Answers
Answer:
1
Step-by-step explanation:
Figure EFGH is congruent to figure E'F'G'H'
Simplify. (−1+2i)(3−5i)
Choices
7+i
−3+i
7+11i
−13+11i
Answers
Answer:
The answer is 7 + 11i
Step-by-step explanation:
What is the resulting integral?
Answers
Answer:
[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx = \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Antiderivatives - Integrals
Integration Constant C
U-Substitution
U-SolveIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx[/tex]
Step 2: Identify Variables
Find the variables u-solve using u-substitution.
U-Substitution
[tex]\displaystyle u = 1 + \sqrt{x}[/tex]
[tex]\displaystyle du = \frac{1}{2\sqrt{x}}dx[/tex]
U-Solve
[tex]\displaystyle x = (u - 1)^2[/tex]
[tex]\displaystyle dx = 2\sqrt{x}du[/tex]
Step 3: Integration
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{x})^5}} \, dx[/tex][Integral] U-Solve: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{(u - 1)^2})^5}} \, 2\sqrt{x}du[/tex][Integral] Simplify: [tex]\displaystyle 2\int {\frac{2\sqrt{x}}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 4\int {\frac{\sqrt{x}}{u^5}} \, du[/tex][Integral] U-Solve: [tex]\displaystyle 4\int {\frac{\sqrt{(u - 1)^2}}{u^5}} \, du[/tex][Integral] Simplify: [tex]\displaystyle 4\int {\frac{u - 1}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle 4[\int {\frac{u}{u^5}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Simplify: [tex]\displaystyle 4[\int {\frac{1}{u^4}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\int {u^{-4}} \, du - \int {u^{-5}} \, du][/tex][Integrals] Reverse Power Rule: [tex]\displaystyle 4[\frac{u^{-3}}{-3} - \frac{u^{-4}}{-4}] + C[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\frac{-1}{3u^3} + \frac{1}{4u^4}] + C[/tex][Brackets] Multiply: [tex]\displaystyle \frac{-4}{3u^3} + \frac{4}{4u^4} + C[/tex]Back-Substitute: [tex]\displaystyle \frac{-4}{3(1 + \sqrt{x})^3} + \frac{4}{4(1 + \sqrt{x})^4} + C[/tex]Combine: [tex]\displaystyle \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
Testing:
H0:μ=54.5
H1:μ<54.5
Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.
Calculate the test statistic, rounded to 2 decimal places.
t=
Answers
Answer:
t = -1.54.
Step-by-step explanation:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
H0:μ=54.5
This means that [tex]\mu = 54.5[/tex]
Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.
This means, respectively, that [tex]n = 48, \mu = 54.1, \sigma = 1.8[/tex]
Test statistic
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \frac{54.1 - 54.5}{\frac{1.8}{\sqrt{48}}}[/tex]
[tex]t = -1.54[/tex]
The test statistic is t = -1.54.
Describe the slope of the line. Then find the slope using two points.
helppp step by step explanation
Answers
Answer:
Step-by-step explanation:
Hi,
Describe the slope: This is a horizontal line. Slope measures the steepness of a line, since this is a horizontal line with no change whatsoever, the slope must be 0.
Calculate: (-1,-2) (3,-2)
Change in y over change in x
-2 - (-2) = 0
3 - 1 = 2
0/2 = 0
The slope is 0
Hope this helps <3
consider the infinite geometric series 2(p-5) + 2(p-5)² + 2(p-5)³
Answers
Can someone help me please??
Answers
10+15+7+8+8+2=50 ft
Answer:
the perimeter is just the distance around the shape so 7+10+15+8+8+2=50
3/2 p - 14 = p + 13
Please help
Answers
Answer:
p=54 hope this helps
Step-by-step explanation:
Which stamens is true
Answers
Explanation: I did the math :)
Find the sum or difference. 9/12 - 7/12 *
Answers
Answer:
Bro this is hard answer is 0.17 or 2/12
Step-by-step explanation:
9/12 - 7/12
9 - 7 first since they both have 12 as their denominator
2 is the answer so you get 2/12
To find the sum or difference of 9/12 - 7/12, you can follow these steps:
Convert both fractions to have a common denominator. In this case, the common denominator is 12, so you can rewrite both fractions as follows: 9/12 - 7/12 = (9/12) - (7/12) = (9 - 7)/12 = 2/12Simplify the fraction if possible. In this case, you can simplify 2/12 to 1/6 by dividing both the numerator and denominator by 2: 2/12 = (2/2) / (12/2) = 1/6The sum or difference is 1/6.So the answer is 1/6.
Please give me brainliest for more high quality answers! - longstretch
Jeremy users 18 inches of twine for each box he packs for shipping. how many yards of twine does he need to wrap 5 boxes?
Answers
Answer:
2.5 yards of twine
Step-by-step explanation:
1 box = 18 inches
5 boxes = 18 x 5 = 90 inches
90 inches = 2.5 yards
Please help me
Explain how to solve the equation and how to check the
solution.
40 = 8y
Answers
Answer:y=5
Step-by-step explanation:
To find out what y is you have to do the inverse to 'undo' the equation.
So instead of multiplying y by 8 you have to divide 40 by 8.
40÷8=5
So y=5
You can check your answer by putting 5 where y is.
40=8×5
Hope this helps :)
Answer:
Use the inverse operation to isolate the variable. Undo multiplication by dividing by 8 on both sides of the equation. Simplify by completing the divisions, 40 ÷ 8 = 5, and 8 ÷ 8 = 1. The solution is y = 5. Check the solution by substituting 5 for y in the original equation, and then simplify. 8 × 5 = 40 and 40 = 40 is a true statement, so 5 is the solution.
Step-by-step explanation:
On edge 2021
what does it mean when someone looks through your peephole in ur house and says "im comin' for u. u better run while u have the chance"?
Answers
Answer:
it means you are my neighbor
Step-by-step explanation:
Answer:
It means your gonna get killed
Step-by-step explanation:
hey jayden
Questão 11 - Um investidor aplicou
a quantia de R$ 500,00 em um fundo
de investimento que opera no regime
de juros simples. Após 6 meses o
investidor verificou que o montante
era de R$ 560,00. Qual a taxa de
juros desse fundo de investimento?
Answers
Answer:
A taxa de juros desse fundo de investimento é de 24% ao ano.
Step-by-step explanation:
Esta é uma questão que envolve juros simples.
A quantidade de juros acumulados depois de t anos é dado por:
[tex]J = P*r*t[/tex]
Em que P é o investimento inicial, r é a taxa de juros, é t é o tempo, em anos.
O montante é dado por:
[tex]M = J + P[/tex]
Um investidor aplicou a quantia de R$ 500,00.
Isso significa que [tex]P = 500[/tex]
Juros acumulados:
Montante era de R$ 560,00, o que significa que [tex]M = 560[/tex]
Então, a quantidade de juros acumulados é dada por:
[tex]M = J + P[/tex]
[tex]J = M - P = 560 - 500 = 60[/tex]
Taxa de Juros:
6 meses é meio ano, o que implica que [tex]t = 0.5[/tex]
Então
[tex]J = P*r*t[/tex]
[tex]60 = 500*r*0.5[/tex]
[tex]250r = 60[/tex]
[tex]r = \frac{60}{250}[/tex]
[tex]r = 0.24[/tex]
A taxa de juros desse fundo de investimento é de 24% ao ano.
Please help I need help ASAP????!!!!!!!!!
Answers
Answer:
3x
Step-by-step explanation:
if __ + 3 = 15 and x=4 then you need to find what plus 3 = 15.
12+3 = 15, and to get from 4 to 12 you multiply by 3
3x + 3 = 15! hope that helps
PLEASE HELP ME ASAP??!!!!!!!!
Answers
9514 1404 393
Answer:
(d) ∅
Step-by-step explanation:
Subtracting y from both sides gives ...
4 = -5
There is no value of y that will make this true. There is no solution to the equation.
The solution set is the null set: ∅.
I need help please ASAP?!!!!
Answers
Answer:
no real numbers will make this equation true
Step-by-step explanation:
if you square both sides, you'll get sqrt(-49). this will get you an imaginary number (7i) which is not a real number.
I was climbing a ladder in my backyard and I felt closer to god but then I thought god is us all too.
Answers
Answer:
What are you trying to say
Step-by-step explanation:
Answer:
Wow, Thats really touching. I kind of dont know what to say but.
Step-by-step explanation:
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░░░▌░▄▄▄▐▌▀▀▀░░ This is Bob
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help me please thank you
Answers
Answer:
3/2 and 3/4 are both not multiples of 1/3.
Step-by-step explanation:
They have to have 3 as the denominator (or the number below the line) to be a multiple of 1/3. For example: 1/3, 2/3, 3/3.
Hope you understand that! :)
Answer:
Explanation Below :)
Step-by-step explanation:
3/2 & 3/4 are mistakes
When finding three multiples of a number that is a fraction, the denominator (bottom number) always stays the same. So, 3/2 & 3/4 are not multiples of 1/3.
if Kendra has $5.35 in nickels and quarters if she has seven more quarters and nickels how many of each coin does she have ?
Answers
Kendra has $5.35 in nickels and quarters. If she has 13 more quarters than nickels, how many of each coin does she have?
(Scroll Down for Answer!)
We know that n = q - 13.
The value equation is
5n + 25q = 535 (we work in cents)
Now substitute for n and get
5(q - 13) + 25q = 535
5q - 65 + 25q = 535
30q = 600
q = 20 so that
n = 7
Step-by-step explanation:
What is the decimal multiplier to decrease by 7.4%
Answers
Answer:
0.074
Step-by-step explanation:
convert 7.4% to a decimal.
change improper fractions: 6 × 1/4 =
Answers
Answer:
[tex]1 \frac{1}{2}[/tex]
ANSWER THIS PLZZ I WILL GIVE TOP COMMENT :)!!!!!
Answers
Answer:
D, -42 multiply 6 on both sides
D. because when it is multiplied, the inequality is no longer true.
For the linear function, y increases by a
of 3 each time x increases by 1.
For the exponential function, y increases by a(n)
of 3.
Answers
Answer:
The linear equation is:
y = 3*x
when x = 1
y = 3*1 = 3
when x = 2
y = 3*2 = 6
Then as x increases one unit, y increases 3 units.
Then the correct statement would be something like:
"For the linear function, y increases by a sum of 3 each time x increases 1"
The exponential function is:
y = 3^x
When x = 1
y = 3^1 = 3
When x = 2
y = 3^2 = 3*3
when x = 3
y = 3^3 = 3*3*3
So when x increases by 1, we multiply the previous value of y by 3.
Then the correct sentence is something like:
"For the exponential function, y increases by a factor of 3".
Answer: for the linear function y increases by a difference
for the exponential function y increases by a(n) ratio.
Step-by-step explanation:
Can someone pleaseee help me
Answers
Answer:b
Step-by-step explanation:
How do you find y = x + 8. x + y = 2 in substitoun form
Answers
answer: x + x + 8 = 2
8mil 133yd 2ft - 5mil 107 yd 2ft =
Answers
Similar triangles and slope
Line r is parallel to line c
Which angle is congruent
Answers
Answer:
C. ∠5Step-by-step explanation:
Angle 3 makes alternate interior angle pair with angle 5
∠3 ≅ ∠5Answer:
C. ∠5
Step-by-step explanation:
Angle 3 makes alternate interior angle pair with angle 5
∠3 ≅ ∠5
PLEASE HELP
Which element should you not include in a summary for a book review?
a brief description of setting
the story's ending
explanation of theme
how the main conflict is resolved
Answers
search correct answer which expression is equivalent to the polynomial?
Answers
If it is wrong I apologize and hope this bobcat will make it better