Step-by-step explanation:
1:d
2:c
3:a
4c
5:b
i think so
Answer:
a) 24
b) 10
c) 12/13
d) 5/13
e) 12/5
Step-by-step explanation:
a) We can see that the leg opposite <C is AB, and we are given AB = 24
b) We can see the leg adjacent to <C is AC, and we are given that AC = 10
c) The trig function sine is equal to
![\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:
![sin(c) = \frac{24}{26} = \frac{12}{13}](https://tex.z-dn.net/?f=sin%28c%29%20%3D%20%5Cfrac%7B24%7D%7B26%7D%20%3D%20%5Cfrac%7B12%7D%7B13%7D)
d)The trig function cosine is equal to
![\frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D)
The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:
![cos(c) = \frac{10}{26} = \frac{5}{13}](https://tex.z-dn.net/?f=cos%28c%29%20%3D%20%5Cfrac%7B10%7D%7B26%7D%20%3D%20%5Cfrac%7B5%7D%7B13%7D)
d)The trig function tangent is equal to
![\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Badjacent%7D)
The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:
![tan(c) = \frac{24}{10} = \frac{12}{5}](https://tex.z-dn.net/?f=tan%28c%29%20%3D%20%5Cfrac%7B24%7D%7B10%7D%20%3D%20%5Cfrac%7B12%7D%7B5%7D)
The value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)
<h3>What is integration?</h3>
It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
The parametric equations for the line segment from (0, 0, 0) to (2, 3, 4)
x(t) = (1-t)0 + t×2 = 2t
y(t) = (1-t)0 + t×3 = 3t
z(t) = (1-t)0 + t×4 = 4t
Finding its derivative;
x'(t) = 2
y'(t) = 3
z'(t) = 4
The line integral is given by:
![\rm \int\limits_C {xe^{yz}} \, ds = \int\limits^1_0 {2te^{12t^2}} \, \sqrt{2^2+3^2+4^2} dt](https://tex.z-dn.net/?f=%5Crm%20%5Cint%5Climits_C%20%7Bxe%5E%7Byz%7D%7D%20%5C%2C%20ds%20%3D%20%5Cint%5Climits%5E1_0%20%7B2te%5E%7B12t%5E2%7D%7D%20%5C%2C%20%5Csqrt%7B2%5E2%2B3%5E2%2B4%5E2%7D%20dt)
![\rm ds = \sqrt{2^2+3^2+4^2} dt](https://tex.z-dn.net/?f=%5Crm%20ds%20%3D%20%5Csqrt%7B2%5E2%2B3%5E2%2B4%5E2%7D%20dt)
After solving the integration over the limit 0 to 1, we will get;
or
= 73037.99 ≈ 73038
Thus, the value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)
Learn more about integration here:
brainly.com/question/18125359
#SPJ4
The answer is 10/3, the whole number form of it is 3 1/3 :)
Hmm if you tryna find the answer it’s 360 because you are multiplying 15x24 and it equals 360 :)) hope this helps!! If not I’m sorry