Answer:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
General Formulas and Concepts:
Calculus
Discontinuities
Removable (Hole) Jump Infinite (Asymptote)Integration
IntegralsDefinite IntegralsIntegration Constant CImproper IntegralsStep-by-step explanation:
Let's define our answer choices:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
B) [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]
C) [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]
D) None of these
We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.
Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.
∴ our answer is A.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Need help please asap
Answer:
A
Step-by-step explanation:
The marks of Riju in Mathematics test increased from 20 to 30. What is the percentage of increase?
Step-by-step explanation:
❀[tex] \underline{ \underline{ \text{Given}}} : [/tex]
Initial marks of Riju = 20Final marks of Riju = 30Then, Increment of the marks = 30 - 20 = 10
❀ [tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Percentage of increment❀ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \boxed{ \sf{Percentage \: of \: increment = \frac{Increase \: of \: marks}{Initial \: marks} \times 100\%}}[/tex]
⇒ [tex] \sf{ \frac{10}{20} \times 100\%}[/tex]
⇒ [tex] \boxed{ \sf{50 \: \%}}[/tex]
[tex] \pink{ \boxed{ \boxed{ \bold{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{50\%}}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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Name two planes that intersect in SW in the
figure to the right
Plane XTS and Plane VRS
A option
Need help with math homework
what is the question you need to ask
PLS help me
if you get it right i will give brainliest
Answer:
7.21
Step-by-step explanation:
Solution,
Given,
base = 4
perpendicular = 6
hypotenuse = ?
Now,
By the formula of Pythagoras Theorem,
h^2 = p^2 + b^2
h^2 = 6^2+4^2
h^2 = 36+16
h = sqrt ( 52 )
h = 7.21
Therefore, the value of x (hypotenuse) is 7.21 .
Answer:
x= 7.21///no
Step-by-step explanation:
4^2 + 6^2 = 52
take the square root which equals 7.21
///
Pythagorean triples consist of perfect squares, like 2^2 is for the side that is equal to 4, 6 is not a perfect square.
1 Which point has coordinates (2, 2)?
A. Point A
B. Point C
C. Point F
D. Point G
I NEED THIS NOW PLEASE HELP
Answer:
g
Step-by-step explanation:
Evaluate 1/2t + 3/8 when t = 1/4
Answer:
the answer is seven - eighths i think
Step-by-step explanation:
Answer
1/2
Evaluate: Enter a number for each variable.
1/2t+3/8
Evaluate for t=1/4
1/2 (1/4)+3/8
1/2 (1/4)+3/8
=1/2 or (Decimal: 0.5)
A pre-election survey showed that 3 out of every 5 citizens would vote in an election. At this rate, how many people would be expected to vote if there are 16,000 citizens in a city? 2,600 people
Answer:
9600 people would vote.
Step-by-step explanation:
3/5 = .6
16,000 * .6 = 9600
=
Solving a word problem with two unknowns using a linear...
A washer and a dryer cost $801 combined. The washer costs $51 more than the dryer. What is the cost of the dryer?
Simplify (4/5)^-2. Show your work!
PLEASE HELP ASAP! 40 POINTS!
Answer: (16/25)
Step-by-step explanation: That's -(4/5) x -(4/5) = (16/25). It's that answer because a negative times a negative equals a positive. The exponent in the problem is telling you to multiply -4/5 times itself 2 times.
Write an equation of the line with the given slope and y-intercept. slope: -3 y-intercept: -6
Answer:
The equation of line with slope: -3 and y-intercept: -6 is [tex]\mathbf{y=-3x-6}[/tex]
Step-by-step explanation:
We need to write an equation of the line with the given slope and y-intercept. slope: -3 ,y-intercept: -6
The general equation for slope-intercept form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
We are given in the question:
slope: -3 y-intercept: -6
So, we have slope m = -3 and y-intercept b = -6
Putting values in the slope-intercept form equation:
[tex]y=mx+b\\y=-3x-6[/tex]
So, The equation of line with slope: -3 and y-intercept: -6 is [tex]\mathbf{y=-3x-6}[/tex]
A right rectangular prism has edge lengths of 1 1/3 inches, 2 inches, and 1 2/3 inches. What is the volume of the prism?
Answer:
264/9 = 29.34
Step-by-step explanation:
(11/3)*(12/3)*2
Answer:
29.34
Step-by-step explanation:
Find the missing lengths. Leave answer in simplest radical form.
PLS HELP AND EXPLAINNN
Find the area of a circle with a radius of 9
i know the formula but im doing something wrong i need help
Answer:
A≈254 cm^2
Step-by-step explanation:
The area of a circle is given by formula: π r^2
π has a constant value of 3.14 And the radius of the circle is 9 c m
the area= π r^2 = 3.14 x (9)^2 cm^2
= 3.14 × ( 81 )
= 254.34 c m^2
≈ 254 c m^2
Can someone Help me with this ? :C and put in the Workings
Calculate the following by long or short division. Give your answers to TWO decimal places.
1.
[tex]456 \div 2[/tex]
2
[tex]538 \div 7[/tex]
Answer: 1. [tex]456\div2 =228[/tex] 2. [tex]538\div7=76.85[/tex]
Step-by-step explanation:
The given division problems :
[tex]1.\ 456\div2[/tex]
[tex]2.\ 538\div7[/tex]
By long division (see the attachment)
1. Divisor= 2
Dividend =456
Quotient = 228
Remainder =0
So, [tex]456\div2 =228[/tex]
2. Divisor= 7
Dividend = 538
Quotient =76.85
so, [tex]538\div7=76.85[/tex]
Clint completly filled his 18 gallon tank of gas with regular fuel for 55.08. As he left the gas station he noticed the station arcross the street sold regular fuel for 2. 99 Per gallon how much money could have clint saved per gallon is he had gone to the station across the street
Answer: 1.26
Step-by-step explanation:
Since he bought a 18 gallon tank of gas with regular fuel for 55.08.
The station across the street sold regular fuel for 2.99 per gallon. A 18 gallon tank will cost:
= 18 × 2.99
= 53.82
The amount that could have been saved would be:
= 55.08 - 53.82
= 1.26
Which set of expressions below does NOT represent equivalent expressions?
A. 8(3x + 7) and 8(3x) + 8(7)
B. 3(8x + 7) and 11x + 10
C. 7(3x + 8) and 7 ∙ 3x + 7∙ 8
D. 3(7x + 8) and 21x + 24
Answer:
B
Step-by-step explanation:
The other are equal
If a rectangle has a perimeter of 58 ft and a length of 4 feet what is the width of the rectangle?
Answer:
25ft
Hoped this helped!
Six segments form two triangles. AB = 3 cm, FE =11cm, CB = 9 cm, DE = 9 cm, CA=11 cm, and FD = 3 cm. (a) Write a triangle congruency statement. (b) What postulate guarantees that these triangles are congruent?
How many of the 100 bin A items can be recycled at a specialized center?
taryn sold gift wrapping paper for a school project she sold 15 rolls of paper write an inequality to represent the amount she earned for the fundraiser
Answer:
Step-by-step explanation:
15× 8 = 120
Answer:
d ≥ 120
Step-by-step explanation:
Multiply 15 x 8
= 120
At Least means we use the ≥ sign.
So its d ≥ 120
Sorry if this is late!
i need help, it's due in a few minss plsssss
Answer:3x^2*10x=30x^3
Step-by-step explanation:
[tex](\frac{1}{4} m^{2} n)^{3} * (-32m^{2}n)[/tex]
PLEASE PROVIDE AN EXPLANATION, I'M UNSURE OF HOW TO FIND THE ANSWER
Answer:
[tex]\bold{(\frac14m^2n)^3*(-32m^2n)=-\frac12m^8n^4}[/tex]
Step-by-step explanation:
[tex](\frac14m^2n)^3*(-32m^2n)=\\\\=(\frac14)^3*(m^2)^3*n^3*(-32)*m^2*n=\\\\= \frac1{64}*m^{2\cdot3}*n^3*(-32)*m^2*n=\\\\= \frac1{64}*(-32)*m^{6}*m^2*n^3*n=\\\\=-\frac{32}{64}*m^{6+2}*n^{3+1}=\\\\=-\frac12m^8n^4[/tex]
Does this graph have 10 or 9 squares, 10 or 9 years, I think I might be going insane
Answer:
10 years
Step-by-step explanation:
I will give BRAINLIEST!!! Please answer as soon as possible
Answer:
2 c ( 7c + 1 )
Step-by-step explanation:
because 14 and 2 go into the table of 2
you first find out what number in table 2 go into 14 in this case 7 times 2 and then you find what number in the time table 2 give you 2 so it's 2 times 1. because it's c squared you can't not put both c inside due that would not be factorizing due that it's common and it does not have to be common.
so the answer will be 2c(7c+1)
online sales result in 35% of sales being returned to their local brick-and-mortar store. what is 35% of 2,000 purchases?
a. 70
b. 240
c. 350
d. 700
Answer:
b
Step-by-step explanation:
b
Answer:
D) 700
Step-by-step explanation:
I used a calculator so sorry if I can't give a explanation
5. (0,0) and (-2,-8) Slope=_ Equation=_
Factor f(x) 3x^3-4x^2-28x-16 given that (x+2) is a factor
Step-by-step explanation:
3x³ - 4x² - 28x - 16
= (x + 2)(Ax² + Bx + C)
= Ax³ + (2A + B)x² + (2B + C)x + 2C.
By Comparing Coefficients, we have:
A = 3,2A + B = -4,2B + C = -28,2C = -16.Solving them will give A = 3, B = -10 and C = -8.
Hence 3x³ - 4x² - 28x - 16
= (x + 2)(3x² - 10x - 8)
= (x + 2)(3x + 2)(x - 4).
The answer is f(x) = (x + 2)(3x + 2)(x - 4).
plz help me or dont lol
Answer:
x = 8
Step-by-step explanation:
:)
Answer:
8
Step-by-step explanation:
I believe one of the rules of angles states that angle (4x-6) = angle (7x-30).
so 4x-6 = 7x-30
moving like terms together,
7x-4x = -6 + 30
3x = 24
x = 24/3
x = 8
What is the value of x in the equation 25x2 = 16. A. 5/4. B. 4. C. 4/5. D. 16/25
Answer:
x = ⅘
Step-by-step explanation:
For clarity, exponents should be marked with a ^. 25x² can be written as 25x^2.
25x² = 16
divide both sides by the 25
x² = 16/25
take the square root of both sides
x = √(16/25) = √16/√25 = 4/5