Answer:
b and d
Step-by-step explanation:
3 + root 2 = 4.414...
30/root 19 = 6.882....
5.1 - (15/root 24) = 2.038....
4pi = 12.5663....
b and d
The line integral is the path of the function along a line having a continuous value.
The integral solved gives the value 111.
The given question is
![\int\limits^c {z}^2 \, dx+ {x}^2 \, dy+ {y} ^2\, dz](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ec%20%7Bz%7D%5E2%20%5C%2C%20dx%2B%20%7Bx%7D%5E2%20%5C%2C%20dy%2B%20%7By%7D%20%5E2%5C%2C%20dz)
where C is the line from (1, 0, 0) to (4, 1, 3)
Here
x→ 1⇒ 4
y→ 0⇒1
z→ 0⇒ 3
Let t be defined be the range 0≤ t ≤ 1
Then x= 4t+1 : dx= 4dt
y= t ": dy= dt
z= 3t : dz= 3dt
Putting the values
![\int\limits^1_0{9t^2} \, 4dt + \int\limits^1_0 {16t^2+1+8t} \, 3dt +\int\limits^1_0 {t^2} \,3dt](https://tex.z-dn.net/?f=%5Cint%5Climits%5E1_0%7B9t%5E2%7D%20%5C%2C%204dt%20%2B%20%5Cint%5Climits%5E1_0%20%7B16t%5E2%2B1%2B8t%7D%20%5C%2C%203dt%20%2B%5Cint%5Climits%5E1_0%20%7Bt%5E2%7D%20%5C%2C3dt)
= [36(1)²- 36(0)²]+ 3 [16(1)² +1+8(1)] - 3 [16(0)² +1+8(0)] + [3(1)²- 3(0)² ]
= 36 +75-3+3
= 111
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Answer: Cindy
Step-by-step explanation:
42/3.5=12 minutes per mile
So Cindy ran faster at 11 minutes per mile
Answer:
It already is in standard form
Step-by-step explanation:
the answer to that equation is 2 which means it's between 1 and 10. therefore it's already in standard form or "scientific notation"
Answer:
![x = 8.57](https://tex.z-dn.net/?f=%20x%20%3D%208.57)
Step-by-step explanation:
Here two triangles are given to us , which are attached to each other . Here we can use the concept of<u> </u><u>Trigonometry</u> to find out the value of x. The angles of the triangle are 60° and 45° . Let the common side be p .
Step 1: <u>Use </u><u>the </u><u>ratio </u><u>of </u><u>tan </u><u>in </u><u>upper</u><u> </u><u>triangle</u>
Substitute the respective values ,
Cross multiply ,
Step 2: <u>Use </u><u>the </u><u>ratio</u><u> of</u><u> </u><u>cos </u><u>in </u><u>lower </u><u>tr</u><u>i</u><u>angle</u>
Substitute the respective values ,
Cross multiply ,
Put the approximate values of √2 and √3
This equals to ,
<u>Hence</u><u> the</u><u> </u><u>va</u><u>l</u><u>ue </u><u>of </u><u>x </u><u>is </u><u>8</u><u>.</u><u>5</u><u>7</u><u> </u><u> </u><u>.</u>