Use the Fundamental Theorem of Calculus to find an expression for the derivative of the given function defined on the given interval, if it exists.
F(x) = â«^x t+1/t-1 dt, [1,5]

Answers

Answer 1

The derivative of the function is not defined overall on the interval [1, 5]

What is the Fundamental Theorem of Calculus?The essential connection between areas under curves and function derivatives is the Fundamental Theorem of Calculus. The first fundamental theorem of calculus's first section asserts that an integral of a function f over an interval with a variable upper bound can be used to derive an antiderivative or indefinite integral of f. This implies that continuous functions have antiderivatives.The second fundamental theorem of calculus, on the other hand, asserts that the integral of a function f over a specified interval equals the change of any antiderivative F between the endpoints of the interval.Here ,

       [tex]F(x)=\int_{a}^{x}\frac{t +1}{t - 1} dt\\\\F^{'}(x) = \frac{x+1}{x-1}[/tex]

The derivative of the function is not defined overall on the interval [1, 5] as x = 1 makes the derivation infinite.

To learn more about calculus, refer:

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Related Questions

What is the length of FG?
(Picture of Question Below!)

A. 1.2
B. 3
C. 3.6
D. 4
E. 6

Answers

Answer:

answer i d

Step-by-step explanation:

Answer:

D.4

Step-by-step explanation:

I say D becuase if you megure it, (It's all in inches) it would be 4.

In AFGH, FG – HF and mZF = 56°. Find m_H.

Answers

Answer:

m<H = 62°

Step-by-step explanation:

If FG is congruent to HF, it means their opposite angles are also congruent to each other. This implies that, <H = <G. Thus, ∆FGH is an isosceles triangle with base angles <F and <G.

Given that m<F = 56°, therefore:

56° + 2(m<H) = 180° (sum of triangle)

2(m<H) = 180° - 56°

2(m<H) = 124°

m<H = 124/2

m<H = 62°

Help me pls thanks so much

Answers

Answer:

494.73 ft

Step-by-step explanation:

wait im confused it says the assignment has been submitted not editable

Can someone help me pls

Answers

Answer: A=53.576 degrees

Step-by-step explanation:

Cos A= adjacent/hypt

Cos A= 19/32

Cos A= .59375

inverse of Cos A=.59375

A=53.576 degrees

Answer:

A = 53.58°

Step-by-step explanation:

cos A = 19/32

cos A = 0.5938

A = 53.58°

eight times the reciprocal of a number equals 4 times the reciprocal of 2. find the number

Answers

Answer:

The number is 4

Step-by-step explanation:

Let the number  = 'x'

Reciprocal of 'x' = 1/x

Reciprocal of 2 = 1/2

8 times the reciprocal of 'x' = [tex]8*\frac{1}{x}\\[/tex]

[tex]8*\frac{1}{x}= 4* \frac{1}{2}\\\\8*\frac{1}{x}= 2\\[/tex]

Now multiply both sides by x

[tex]8*\frac{1}{x}*x = 2*x\\\\8 = 2x[/tex]

Now divide both sides by 2

[tex]\frac{8}{2}=\frac{2x}{2}\\\\4 = x[/tex]

x = 4

THE QUESTION IS IN THE PHOTO. HELP​

Answers

Answer:

The constant is 3

Step-by-step explanation:

To the answer, you divide y/x.

15/5 = 3

9/3 = 3

6/2 = 3

1.5/ 0.5 = 3

Help urgent!! I’ll give branliest

Answers

Answer:

8.81

Step-by-step explanation:

Answer:

18.01 tak   myśle

The cost of 4 pounds of potatoes is $3.56. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of potatoes, x? A $0.89 A $0.89 B $1.12 B $1.12 C $8.90 C $8.90 D $1.02

Answers

Answer:

A. $0.89

Step-by-step explanation:

To find the constant of proportionality, find the cost of one pound of potatoes

3.56/4

= 0.89

So, the constant of proportionality is $0.89

The correct answer is A. $0.89

PLS HELP ME I NEED HELP ITS DUE RN

Answers

Answer:

Step-by-step explanation:

It's 4

Answer 5750$

Given below are lease terms at the local dealership. What is the total cash
due at signing?
.
.
Terms:
Length of lease = 24 months
MSRP of the car = $36,600
Purchase value of the car after lease = $30,200
Down payment = $4800
Monthly payment = $525
$445 security deposit
$505 acquisition fee
A. $6275
B. $5750
C. $5770
D. $5830

Answers

Answer:

$6275

Step-by-step explanation:

The cash due at signing should include :

The down-payment ; The monthly payment for that particular month ; Acquisition fee and Security deposit.

Down payment = $4800

Monthly payment = $525

Security deposit = $445

Acquisition fee = $505

Total :

$(4800 + 525 + 445 + 505)

= $6275

Answer:

6750

Step-by-step breast inspection:

Which expressions represent 1 less than the product of 3 and 4? Check all that are true. 2) 0 (3 X 4) - 1 O 3 X 4 - 1 3 x (4 - 1) -) 0 1 - (3 X 4) 0 1 - 3 X 4​

Answers

Are the 0 part of the problem it so spaced out?

Answer:

(3 x 4) - 1    and  3 x 4 - 1

Step-by-step explanation:

Hope this helps!

Kevin wants to hike the Pacific Crest Trail, which is 2,653 miles long. If Kevin wants to
finish the hike in 7 months, how many miles should he hike each month?
miles

Answers

Answer:

378

Step-by-step explanation:

2,653 divided by 7

What is the volume of the following figure? (Round your answer to the
nearest tenth and leave it in terms of pi.)
Width= 18 m length=10 m
A 180mm
B. 3240mm
C. 810 m
D. 8171 m

Answers

The answer is C for this question

find the next term in the sequence. please type the number only as you answer. hint first figure out if the sequence is arithmetic or geometric
-3,9,-27,81,​

Answers

Answer:

geometric

Step-by-step explanation: each number multiply by -3

mark me brainiest:)

Find the areas of the figures below. Show all work on for each problem.

Answers

Answer:

310 in²

Step-by-step explanation:

Area of the figure = area of the larger rectangle + area of the medium rectangle + area of smaller rectangle

✔️Area of the larger rectangle = L*W

L = 20 in

W = 7 in

Area = 20*7 = 140 in²

✔️Area of the medium rectangle = L*W

L = 20 - 2 = 18 in

W = 22 - (10 + 7) = 5 in

Area = 18*5 = 90 in²

✔️Area of the smaller rectangle = L*W

L = 8 in

W = 10 in

Area = 8*10 = 80 in²

✅Area of the figure = 140 + 90 + 80 = 310 in²

Anna is making 11 necklaces using 35 beads for each. How many beads (B) are needed to make all of the necklaces?
es

Answers

Step-by-step explanation:

11×35

11 necklaces and 35 beads per necklace

385

or 385 beads for all 11 necklaces

b=385

What is the slope of the line that passes through the points (6, 2) and (4, 10)?
-4
-1/4
1/4
4

Answers

Answer:

A. -4 (should have negative sign.)

Step-by-step explanation:

Slope formula:

[tex]\sf \dfrac{Y_2-Y_1}{X_2-X_1}[/tex]

y2=10

y1=2

x2=4

x1=6

Solve.

[tex]\dfrac{10-2}{4-6}[/tex]

10-2=8

4-6=(-2)

Divide.

8÷(-2)=-4

So, the correct answer is -4.

your answer would be -4. I hope this helped

question is included in the picture​

Answers

Answer:

Step-by-step explanation:

d is the right answer

Answer:

tis d hope this helped have a great day

Step-by-step explanation:

Help! I don’t know how to work with slopes

Answers

1/3 will be the answer because we go over to the left once and up three times

A person invested $5,500 in an account growing at a rate allowing the money to double every 14 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $6,800?

Answers

Answer:

t=4.3

Step-by-step explanation:

y=a(2)^{\frac{t}{d}}

y=a(2)  

d

t

​  

 

 

y=6800\hspace{40px}a=5500\hspace{40px}d=14

y=6800a=5500d=14

d is the doubling time

\text{Plug in:}

Plug in:

6800=

6800=

\,\,5500(2)^{\frac{t}{14}}

5500(2)  

14

t

​  

 

 

\text{Solve for }t\text{:}

Solve for t:

\frac{6800}{5500}=

5500

6800

​  

=

\,\,\frac{5500(2)^{\frac{t}{14}}}{5500}

5500

5500(2)  

14

t

​  

 

 

​  

 

Divide by 5500

1.23636364=

1.23636364=

\,\,2^{\frac{t}{14}}

2  

14

t

​  

 

 

\log(1.23636364)=

log(1.23636364)=

\,\,\log\left(2^{\color{green}{\frac{t}{14}}}\right)

log(2  

14

t

​  

 

)

Take the log of both sides

\log(1.23636364)=

log(1.23636364)=

\,\,\color{green}{\frac{t}{14}}\log(2)

14

t

​  

log(2)

Bring exponent to the front

\frac{\log(1.23636364)}{\log(2)}=

log(2)

log(1.23636364)

​  

=

\,\,\frac{t}{14}

14

t

​  

 

Divide by log(2)

0.30610313=

0.30610313=

\,\,\frac{t}{14}

14

t

​  

 

Divide in calculator

14(0.30610313)=

14(0.30610313)=

 

Multiply by 14

4.285443788=

4.285443788=

\,\,t

t

Asma was asked to compare the following two numbers.
A = 6.212 x 108 and B = 4.73 x 10
She says,
“6.212 is bigger than 4.73 so A is bigger than B."
Is Asma correct?
You must give a reason for your answer

Answers

Answer:

No

Step-by-step explanation:

6.212 x 10^8 = 621,200,000

4.73  x 10^9 = 4,730,000,000

Yes Asma is correct because,

Even if we round off both no. to the nearest whole number we get 6 and 5 respectively.
That’s how we can also know which no. is bigger. The bigger no. is 6.212 and if we solve the equation, we get the answers
670.896 and 47.3 respectively.
So A is bigger than B in the two aspects mentioned above.

Hope this helped and have a nice day : )

help, easy math. will mark brainlist!!​

Answers

Answer:

It is the first one 1/3(p+45).

Answer:

choice 1) 1/3(p + 45)

Step-by-step explanation:

1/3p + 15 = 1/3(p + 45)

NEED HELP (+50 POINTS) +BRAINLEST +5 STARS +THANKS ON PROFILE

Sow work and round to the nearest tenth.

Answers

5ft is the answer to your question
P=2ftB=3ftH=?

Using Pythagorean theorem

[tex]\\ \qquad\quad\sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \qquad\quad\sf\longmapsto H^2=2^2+3^2[/tex]

[tex]\\ \qquad\quad\sf\longmapsto H^2=4+9[/tex]

[tex]\\ \qquad\quad\sf\longmapsto H^2=13[/tex]

[tex]\\ \qquad\quad\sf\longmapsto H=\sqrt{13}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto H=3.2[/tex]

The area of a triangle is 18. The base is 6 inches. What is the height?

Answers

Answer:

the hight of your triangle is six inches

Question 4 of 10 Which expression is equivalent to (b^m)^m? A. b^n-m B. b^n+m C. b^n•m D. b^n/m​

Answers

Answer:

C

Step-by-step explanation:

Paula kitten weighs 3 1/2 pounds write this weight in the boxes using pounds and ounces.

Answers

Answer:

Step by step explanation

First, we have to convert 3 1/2 into a decimal, so we have to do the following:

1/2 = 1 divided by 2 3 1/2 = 3 + (1÷2) = 0.5 (1 ÷ 2 done by long division)

Then we add the whole number.

3 + 0.5 = 3.5

Next, we multiply

3.5 x 16 = 56 ounces.

Answer:

3 pounds and 8 ounces

Step-by-step explanation:

1 pound (lbs) = 16 ounces (oz)

Using both pounds and ounces, the problem is asking us to eliminate the decimal and substitute it for the number of ounces (a smaller unit than pounds)

So we know it is 3 pounds, but what is half a pound equal to in terms of ounces?

Remember 1 lb = 16 oz, so 1/2 of a lb = half of 16 oz

Half of 16 (or 16 ÷ 2) equals 8

Therefore, half a pound equals 8 ounces

Combining the two units together means the boxes weigh 3 pounds and 8 ounces

A triangle with a base of 16 inch has an area of 104 inch quad what is the height of the triangle

Answers

the hight of the triangle is 13 inches

I need help with math asap ​

Answers

um where’s the question?


Identify the equation that correctly shows the given relationship.

Answers

It’s A he is correct and have a good day

help will give brainliest need help ASAP​

Answers

Answer:

LQ: 7.5

UQ: 21

Step-by-step explanation:

After identifying the median, remove it and split the data into two halves.

The upper quartile is the median is the top set of data and the lower quartile is the median is the bottom set of data.

If you have two numbers in the middle, you add them and divide by two to find the median/ quartile

so

[tex]\frac{7+8}{2} =7.5[/tex]

[tex]\frac{21+21}{2} =21[/tex]

Answer:
LQ: 7.5
UQ: 21
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