Parameterize C by the two vector functions,
r(t) = (1 - t) (0, 0) + t (6, 0) = (6t, 0)
with 0 ≤ t ≤ 1, and
s(t) = (6 cos(t), 6 sin(t))
with 0 ≤ t ≤ π/2.
Then the line integral over C is equal to the sum of the line integrals over each path:
[tex]\displaystyle \int_C dS = \int_0^1 \|r'(t)\| \, dt + \int_0^{\frac{\pi}2} \|s'(t)\| \, dt[/tex]
[tex]\displaystyle \int_C dS = \int_0^1 \sqrt{6^2 + 0^2} \, dt + \int_0^{\frac{\pi}2} \sqrt{(-6\sin(t))^2 + (6\cos(t))^2} \, dt[/tex]
[tex]\displaystyle \int_C dS = 6 \int_0^1 dt + 6 \int_0^{\frac{\pi}2} dt[/tex]
[tex]\displaystyle \int_C dS = 6 + \frac{6\pi}2 = \boxed{6+3\pi}[/tex]
which could be the function graphed below ??
Answer:
D [tex]\sqrt{x+4}[/tex]
Step-by-step explanation:
helppppppppppppppppppppppppppppppppppp
Answer:
so the answer is bar graph..
Use a protractor to measure the
angle. Then identify it as either
acute, right, obtuse, or straight.
Name
Size
Answer:
Straight angle 180 degrees
A watch loses 15 seconds every day how many minutes will it lose in 2 weeks.
2 weeks = 14 day
14 * 15 = 210 seconds
210/60=3 hours and 30 minutes or 3.5 hours.
HELP!!!!! FAST!!!!! !!!!!!!!!!!!!!!!!!!!!!
Answer:
37
Step-by-step explanation:
I don't know if this is totally correct
ATQ,
★⤿ 8(x+9) ≥ 224
★⤿ x+9 ≥ 224/8
★⤿ x +9 ≥ 28
★⤿ x ≥ 28-9
★⤿ x ≥ 19
Hence , option A is correct ✓
Solve the equation for x:
4x2 + 15x = 4
Show steps please
Billie bikes 9 miles in 45 minutes. At this rate, how many miles can he bike in 90 minutes?
Answer:
18 miles
Step-by-step explanation:
9 miles : 45 minutes
? miles : 90 minutes
45 x 2 = 90 minutes
9 x 2 = 18 miles
Which of these situations can be represented by this graph?
Answer:
Step-by-step explanation:
help me pls help me
Answer:
Well I’m not sure what Answers do you want
Step-by-step explanation:
On Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance?
-16.75 + (5.72 + 16.75)
Use the commutative property to get:
-16.75 + (16.75 + 5.72)
Use the associative property to get:
(-16.75 + 16.75) + 5.72
Answer:
5.72
Step-by-step explanation:
(-16.75 + 16.75) = 0
0 + 5.72= 5.72
Therefore, the answer is 5.72
please help! i don’t understand!
Answer:
£0.00 probably is the answer
Answer:
7158
Step-by-step explanation:
I’m confused on this question
Answer:
[tex]\lim_{x \to 5}f(x)=-5\\\lim_{x \to 1^-} f(x)=3\\\lim_{x \to 1^+} f(x)=3\\\lim_{x \to 1} f(x)=4\\[/tex]
Step-by-step explanation:
[tex]\lim_{x \to 5}f(x)[/tex]
This means "the limit of f(x) as x approaches 5"
In this case, f(x) is a basic linear function while x > 1, so a limit is not necessary but it can still be used as it is here. For this one, you can just calculate f(5), and that is:
[tex]f(x)=5-2x[/tex]
[tex]f(5)=5-2(5)=5-10=-5[/tex]
[tex]\lim_{x \to 5}f(x)=-5[/tex]
===================
[tex]\lim_{x \to 1^-} f(x)[/tex]
This one is a little different. It means "the limit of f(x) as x approaches 1 from the negative (left) direction"
The negative direction of course means x will be less than 1, so we'll use this function:
[tex]f(x)=4-x[/tex]
It's easier if you graph it, but you can also do it like this:
[tex]f(0)=4+0=4\\f(0.5)=4-0.5=3.5\\f(0.75)=4-0.75=3.25\\f(0.9)=4-0.9=3.1\\f(0.99)=4-0.99=3.01[/tex]
There's a clear pattern there. You can see that f(1) should be 3, but this function only applies while x is less than 1 so it can never reach 3. It will get infinitely close, and that can be shown with the limit:
[tex]\lim_{x \to 1^-} f(x)=3[/tex]
===================
[tex]\lim_{x \to 1^+} f(x)[/tex]
This one works the same way, but from the positive (right) direction.
[tex]f(2)=5-4=1\\f(1.5)=5-3=2\\f(1.25)=5-2.5=2.5\\f(1.1)=5-2.2=2.8\\f(1.01)=5-2.02=2.98\\f(1.001)=5-2.002=2.998[/tex]
It will also get infinitely close to 3 when x = 1, but won't ever reach it because this function only applies when x is greater than 1.
[tex]\lim_{x \to 1^+} f(x)=3[/tex]
===================
[tex]\lim_{x \to 1} f(x)[/tex]
Here, the function for x=1 is just:
[tex]f(x)=4[/tex]
It's given already, so the limit is just:
[tex]\lim_{x \to 1} f(x)=4[/tex]
5/6(-4 1/2)(-2 1/5) what is the answer
Independent Task:
Directions:Write the digit in it's place.
1.) 0.34600
______tenths
______thousandths
______hundred thousandths
______hundredths
2.) 20.00642
_______thousandths
_______hundredths
_______hundredths thousandths
Answer:
1. tenths = 0.3
thousandths = 0.346
hundred thousandths = 0.34600
hundredths = 0.35
2. thousandths = 20.006
hundredths = 20.01
hundred thousandths = 20.00642
Step-by-step explanation:
Hope it helps
Evaluate - (3 ^ - 5) * (3 ^ 3)
Answer:
1 / 3^2 = 1/9
Step-by-step explanation:
3^-5 = 1/3^5
(1/3^5) * (3^3) = 3^3 / 1/3^5 = 3^3 / 3^5 = 1/3^2
The value of the given expression is 1/9 .
Given,
[tex](3^{-5}) (3^{3} )[/tex]
According to the power rule,
[tex](a^{m}) (a^{n} ) = a^{m + n}[/tex]
Now,
[tex](3^{-5}) (3^{2}) = 3^{-5 + 3}\\ \\ (3^{-5}) (3^{2}) = 3^{-2}[/tex]
[tex](3^{-5}) (3^{2}) = 1/3^{2}[/tex]
[tex](3^{-5}) (3^{2} ) = 1/9[/tex]
Thus with the power rule answer will be 1/9.
Learn more about power rule,
https://brainly.com/question/23418174
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If 10 candy cost $35. How much candy can I buy with $20
Answer:
6 candies
Step-by-step explanation:
(find unit rate, cost / quantity)
35/10 = 3.5
20/3.5 = = 5.7142857142857
candies cannot be in decimal so you must round to the nearest whole
Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist. how many miles does the second cyclist bike in 45 mins?
Answer:
Step-by-step explanation:
45 minutes is 3/4 hr.
(3/4)(12 + b) = 9 + 3b/4 miles
The amount of snowfall in November was 3 2/5feet. The amount of snowfall in December was 1 1/5feet.
How much more snowfall was there in November?
Write your answer as a mixed number in simplest form.
2 1/5
Step-by-step explanation:
3 - 1 = 2
2/5 - 1/5 = 1/5
2 + 1/5 = 2 1/5
scientific form of 47500000000
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Scientific notation for above value is ~
[tex]4.75 \times 10 {}^{10} [/tex][tex]Hello[/tex] [tex]There![/tex]
First, let's make sure our coefficient is between 1 and 10:
4.75
All numbers in scientific notation look like this:
___x10^- (some number)
4.75x10^
Now, the number is large, so the exponent is positive.
So we move the decimal place some number of units. We move the decimal place 10 units, so the exponent is 10:
4.75x10^10
Hope this helps!
~Just a felicitous girlie
#CarryOnLearning
[tex]SilentNature[/tex]
The sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second. What are the numbers?
The numbers are 30, 22, and 66 if the sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the number are x, y and z
Then,
x + y + z = 118 ...(1)
y = x - 8 ...(2)
z = 3y ....(3)
After solving the above three equation by plugging the value of z in the equation (1) then solve this equation with (2) we will get:
x = 30
y = 22
Then z from the equation (3):
z = 3(22) = 66
Thus, the numbers are 30, 22, and 66 if the sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second.
Learn more about the linear equation here:
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h
A. 2x – 1 + 3x = 0
B.
5.2 -1=0
1) How can we get Equation B from Equation A?
Choose 1 answer:
Add/subtract the same quantity to/from both sides
B
Add/subtract a quantity to/from only one side
Rewrite one side (or both) by combining like terms
Rewrite one side (or both) using the distributive property
Answer:
A
Step-by-step explanation: :}
Select the number line that shows that two opposite numbers have a sum of 0.
[tex]Hiya![/tex]
Sokka is here to help!
I believe it is A..
Hopefully, this helps you!!!
[tex]Sokka[/tex]
Answer:
Option B is correct.
Step-by-step explanation:
The question said "Opposite numbers and the sum of those numbers is 0". Let's see if Option B has these abilities.
3 - 3 = 0 ✔Are they opposites of each other? ✔=> Therefore, Option B is the correct answer.
Prices are going up in the ratio 6:5 Write a 60% decrease as a ratio.
HELP PLSSSSSSSSSSSSSSSSSSSSS
Answer:
To Decrease an amount in a given Ratio, we need to multiply by a fraction that is less than one. For example, in scaling down a recipe for four people into a recipe for 3 people, we would use the ratio of 3 : 4 which means we would multiply all our recipe amounts.
PLEASE ANSWER ASAP (no links please)
Solve for the indicated variable
g/h = e - 10 for g
Answer:
g = he - 10h
Step-by-step explanation:
Given the functions,
f(x) = x^3 - 4x^2 + 5
g(x) = x^2 + 6x - 7
h(x) = x + 6
Find f(g(-3)).
Answer:
f(g(- 3) ) = - 5115
Step-by-step explanation:
Evaluate g(- 3) then substitute the value obtained into f(x)
g(- 3) = (- 3)² + 6(- 3) - 7 = 9 - 18 - 7 = - 16 , then
f(- 16) = (- 16)³ - 4(- 16)² + 5
= - 4096 - 4(256) + 5
= - 4096 - 1024 + 5
= - 5115
pamelas age is three times jiris age the sum of their age is 32 what is jiris age
Answer:
Jiris age = 8
Step-by-step explanation:
Jiris = j
Pamelas Age = 3j
Pamelas's age + Jiris age = 32
3j + j = 32
4j = 32
j = 32 / 4
= 8
Jiris age = 8
Pamelas age = 3 times Jiris's
Pamelas age = 24
Answer:
8 years old.
Step-by-step explanation:
P = 3I
P + I = 32
Plug P = 3I into the second equation:
3I + I = 32
I = 32/4 = 8
So Jiris's age = 8.
Can someone please help me I will mark u brilliant
Answer:
the correct answer is 7/20
At a particular time, a tree casts a shadow 17 m long on horizontal ground. At the same time, a vertical pole 3 m high casts a shadow 4 m long. Calculate the height of the tree to the nearest tenth of a meter.
Using a system of equations, the height of the tree would be 12.80 meters.
Equating the height and shadows of the tree and pole :
Height of pole / shadow of pole = height of tree / shadow of tree
Representing the equation thus :
Let the height of the tree = h
3/4 = h/17
Cross multiply
4h = 17 × 3
4h = 51
Divide both sides by 4
h = 51/4
h = 12.75.
Hence, the height of the tree to the nearest tenth of a meter is 12.80 meters.
Learn more : https://brainly.com/question/25562438
Line /1 and line /2 are parallel line
Step-by-step explanation:
1=56⁰
2=56⁰
3=68⁰
4=68⁰
5=56⁰
6=112⁰
7=180-124 Ans=56⁰
8=68+56 Ans=124⁰
9=68⁰
10=112⁰
11=124⁰
12=56⁰
IT TOOK 15MINS mark me BRAINLIEST pls!what is 7/9÷1/3 plz help thanks
Answer:
[tex]2\frac{1}{3}[/tex]
Step-by-step explanation:
Alrighty, when dividing fractions there is a trick called "keep, change, flip".
Step 1: Keep- Keep the first fraction the same
[tex]\frac{7}{9}[/tex]
Step 2: Change- Change the division sign to a multiplication sign
[tex]\frac{7}{9} *[/tex]
Step 3: Flip- Flip the second fraction (the reciprocal)
[tex]\frac{1}{3} --->\frac{3}{1}[/tex] [tex]\frac{7}{9} * \frac{3}{1}[/tex]
Then, you multiply straight across
[tex]\frac{7}{9} * \frac{3}{1} = \frac{21}{9}[/tex]
Now, we simplify
[tex]\frac{21}{9} = \frac{7}{3} = 2\frac{1}{3}[/tex]