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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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?
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
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
Answer:
C
Step-by-step explanation:
question is included in the picture
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
Identify the equation that correctly shows the given relationship.
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
Answer:
378
Step-by-step explanation:
2,653 divided by 7
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
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
Paula kitten weighs 3 1/2 pounds write this weight in the boxes using pounds and ounces.
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
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,
Answer:
geometric
Step-by-step explanation: each number multiply by -3
mark me brainiest:)
The area of a triangle is 18. The base is 6 inches. What is the height?
Answer:
the hight of your triangle is six inches
Help urgent!! I’ll give branliest
Answer:
8.81
Step-by-step explanation:
Answer:
18.01 tak myśle
Help me pls thanks so much
Answer:
494.73 ft
Step-by-step explanation:
wait im confused it says the assignment has been submitted not editable
What is the length of FG?
(Picture of Question Below!)
A. 1.2
B. 3
C. 3.6
D. 4
E. 6
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.
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°
THE QUESTION IS IN THE PHOTO. HELP
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
What is the slope of the line that passes through the points (6, 2) and (4, 10)?
-4
-1/4
1/4
4
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
NEED HELP (+50 POINTS) +BRAINLEST +5 STARS +THANKS ON PROFILE
Sow work and round to the nearest tenth.
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]
Can someone help me pls
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°
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
I need help with math asap
um where’s the question?
help, easy math. will mark brainlist!!
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)
A triangle with a base of 16 inch has an area of 104 inch quad what is the height of the triangle
the hight of the triangle is 13 inches
help will give brainliest need help ASAP
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]
Find the areas of the figures below. Show all work on for each problem.
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
Step-by-step explanation:
11×35
11 necklaces and 35 beads per necklace
385
or 385 beads for all 11 necklaces
b=385
PLS HELP ME I NEED HELP ITS DUE RN
Answer:
Step-by-step explanation:
It's 4
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
Answer:
No
Step-by-step explanation:
6.212 x 10^8 = 621,200,000
4.73 x 10^9 = 4,730,000,000
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
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
Answer:
(3 x 4) - 1 and 3 x 4 - 1
Step-by-step explanation:
Hope this helps!
eight times the reciprocal of a number equals 4 times the reciprocal of 2. find the number
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