The derivative of f(x) is 2 sec(6x) - 2. We can also note that this derivative is continuous and differentiable for all x in its domain.
Part one of the fundamental theorem of calculus states that if a function f(x) is defined as the integral of another function g(x), then the derivative of f(x) with respect to x is equal to g(x).
In this case, we have the function f(x) = 0 2 sec(6t) dt x, which can be rewritten as the integral of g(x) = 2 sec(6t) dt evaluated from 0 to x. Using part one of the fundamental theorem of calculus, we can find the derivative of f(x) as follows:
f'(x) = g(x) = 2 sec(6t) dt evaluated from 0 to x
f'(x) = 2 sec(6x) - 2 sec(6(0))
f'(x) = 2 sec(6x) - 2
Therefore, the derivative of f(x) is 2 sec(6x) - 2. We can also note that this derivative is continuous and differentiable for all x in its domain.
Learn more on fundamental theorem here:
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At the end of the summer, I decide to drain the swimming pool
(which has 1500 gallons of water in it). I noticed that it drains
faster when there is more water in the pool. That was interesting
to me, so I decided to measure the rate at which it drains. I found
that it was draining at a rate of 1% every minute.
How long will it take to empty the pool?
The quadrilaterals JKLM and PQRS are similar.
Find the length x of PQ.
P
3
27
M
s
6
x
3.6
K
5
R
45
Answer:
I believe the answer is 45.
Step-by-step explanation:
This is just my opinion. However I could be wrong.
Answer:
5.4
Step-by-step explanation:
Scale factor = 2.7/3 = 0.9
x = 6*0.9 = 5.4
Farias car is worth 22000. Of the value of the car decreases by 8% what will her car be worth next year?
Answer:
$17600
Step-by-step explanation:
(1) One apple weighs 75 grams and one orange weighs 40 grams. The weight of x apples and y oranges, is
Answer:
Given,
Weight of each apple =75 gm
Weight of each orange =40 gm
So,
Weight of x apples =75x gm
Weight of y oranges =40y gm
Thus,
Weight of x apples and y oranges =(75x+40y) gm
I hope it's helpful!
You deposit $250 in an account. The account earns $20 simple interest in 4 years. What is the annual interest rate?
Answer:
5.00
Step-by-step explanation:
20/4 years = 5 per year
If x is the least common multiple of the set {6, 8, 12} and y is the greatest common factor
of the set {20, 42, 72), what is the value of x/y ?
Answer:
12
Step-by-step explanation:
The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12
PLZ HELP WILL MARK BRAINIEST
Today, everything at a store is on sale. The store offers a 20% discount.
The regular price of a T-shirt is $16.
If the regular price of an item is x dollars, what is the discount price in dollars?
a.) 0.2x
b.) 0.8x
c.) 1.2x
d.) none of the above
Answer:
D?
Step-by-step explanation:
I NEED HELP ASAP PLEASE HELP DONT JUST SPAM :(
Answer:
i think for 4 is b altho im not sure
Step-by-step explanation:
simplify -8-(12)+(-2)
-8-12+(-2)
=-8-12-2
=-20-2
=-22
HELP ME PLEAAAAAAAAAASSSSSSSSE
Answer:
jwjsjsjwujksikwpqñk1972
whats her errors and whats the soulution
Answer:
she messed up at -17=34x
Step-by-step explanation:
she added 8x to each side but she was actually supposed to subtract
The error is 8(x - 3) + 7 = 2x(13) and -17 = 34x.
4 - 17 = -13, not 13
8x - 17 = 26x
-17 = 26x -8
-17 = 18x ( it should be like this, but this is still wrong because it should -26)
The solution is:
8(x - 3) + 7 = 2x(4 - 17)
8(x - 3) + 7 = 2x(-13)
8x - 24 + 7 = -26x
8x - 17 = -26x
8x + 26x = 17
34x = 17
x = 17/34
x = 1/2
Hope it helps!
Which angles in the picture are NOT supplementary?
2 and 3; 1 and 4
1 and 2; 2 and 3
1 and 3; 2 and 4
4 and 1; 3 and 4
Answer:
1 and 3; 2 and 4
Step-by-step explanation:
Supplementary angles add up to 180 degrees, which is a straight line.
we can see that angles 2 and 3 make the / line, as do 1 and 4
1 and 2 make up the \ line, while, as mentioned above, 2 and 3 make /
4 and 1 is the same as 1 and 4 so they still create / and angles 3 and 4 make the \
PLS HELP!!
Solve for a side in right triangles
BC = ???
round your answer to the nearest hundredth
Answer:
39 centimeters
Step-by-step explanation:
I am very sorry if I'm wrong! ✿✿✿
Sarah and Ethan are plotting points on a
coordinate grid. Sarah plots the point A(-2. – 3)
and Ethan plots the point B(1.2). What is the
distance between the two points?
Answer:
srry buddy
I didn't get the answer ✌️✌️
4 Eric sketches a rectangle with a perimeter of
90 inches. The length of the rectangle is three
inches longer than the width. Which equation
can be used to determine x, the width of the
rectangle Eric sketched?
F 2x + 2x + 3 = 90
G 2(x + 3) = 90
H x(x + 3) = 90
J 2(x) + 2(x + 3) = 90
Answer:
2(x) + 2(x + 3) = 90
Step-by-step explanation:
Width: x inch.
Length: (x + 3) inch.
P = 2 [tex]w^{}[/tex] + 2 [tex]l^{}[/tex]
P = 2(x) + 2(x + 3) = 90
Solve for x
x^2-2x-2=0
308 miles in 7 hours. Find the
rate and unit rate in miles per
hour. Please help :) It’s 15 points.
Answer:
They did 44 miles per hour
Step-by-step explanation:
308 / 7 = 44
Marion is driving between two towns that are close together. If she drives 1/5 the distance of the trip in 15 minutes, what is her rate per hour?
Answer: 75 minutes per hour.
Step-by-step explanation:
From the question, we are informed that Marion is driving between two towns that are close together and that she drives 1/5 the distance of the trip in 15 minutes.
The rate per hour will then be:
= 15 ÷ 1/5
= 15 × 5
= 75 minutes
The rate per hour will then be 75 minutes per hour.
Plsss help me ASAP plss
1. 50% of 82
2. 10% of 2,350
3. 80% of 40
4. 160% of 30
5. 250% of 2
6. 105% of 260
7. 0.5% of 12
8. 40% of 16.5
9. 75% of 8.4
Help please !!
Answer:
1. 41
2. 235
3. 32
4. 48
5. 5
6. 273
7. .06
8. 6.6
9. 6.3
Step-by-step explanation:
Answer:
1=41
2=235
3=32
4=48
5=5
6=273
7=0.06
8=6.6
9=6.3
What are the answers for these,
3.5 m = 350 cm
9.072 km = 9072 m
0.07 kg = 70 g
70.4 l = 70400 ml
79 m = 0.079 km
6 g = 6000 kg
5,870 m = 5.78 km
61,900 g = 61.9 kg
Puppy A weighs 9 pounds which is about 25% of its adult weight what will be the adult weight of puppy A?
The points (1,1) and (5,5) fall on a particular line. What is its equation in slope- intercept form
Answer:
y=x
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-1)/(5-1)=4/4=1
slope is 1
y-y1=m(x-x1) where m=slope
y-1=1(x-1)
y-1=x-1
y=x-1+1
y=x
Answer:
y = x
Step-by-step explanation:
(1 , 1)
(5 , 5)
m = [tex]\frac{y}{x}[/tex]
m = [tex]\frac{4}{4}[/tex]
A coin is flipped 10 times and lands on heads 8 times. What is the theoretical probability that the coin will land on tails on the next flip?
20%
80%
50%
100%
Answer:
pls mark brainlest Even though it landed on heads 8/10 times, ther's still a 50% chance that it will land on tails.
1. What is 30 percent of 120?
A.30
B.20
C.40
D.36
Answer:
D 36
Step-by-step explanation:
Answer:
D.36
Step-by-step explanation:
30 ?
--- x ---
100 120
Multiply 30 times 120. You get 3600. Divide that by 100, and you get 36.
You deposit $100 in a savings account. The account earns 11% simple interest per year.
a. What is the interest earned after 10 years?
The interest earned is $
after 10 years.
b. What is the balance after 10 years?
The balance is $
after 10 years.
Answer:
a. ----> $10b. ----> $110Step-by-step explanation:
principle ( p ) = $100time ( t ) = 10 years rate ( r ) = 11%simple interest = (p × r × t)÷ 100 = ( $100 × 11 × 10 )÷ 100 = 11000 ÷ 100 = $110interest = simple interest - principle interest = $110 - $100 = $10MARK ME AS BRAINLISTPLZ FOLLOW ME
in a yaz game, Gina won 3 games, lost 5, later won 6 and finally lost 4, what was the balance of the game?
Answer:
0
Step-by-step explanation: 3-5=-2+6=4-4=0
What graph represents the equationy = 2x – 3?
Answer:
linear graph
Step-by-step explanation:
because the equation of the line is straight
The question is up there ☝
Answer:
D
Step-by-step explanation:
The parabola is translated down 2 units.
I might be wrong tho.
hallar el color de x en la siguiente figura
Step-by-step explanation:
[tex]105 (2 \times - (11)[/tex]