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Vladimir [108]
3 years ago
14

Solve for the value of t (photo)

Mathematics
1 answer:
alexdok [17]3 years ago
7 0
Since the angle they have to equal is 97 the answer is 12
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Evaluate the line integral, where c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)
Arada [10]

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

 

\rm ds = \sqrt{2^2+3^2+4^2} dt

After solving the integration over the limit 0 to 1, we will get;

\rm \int\limits_C {xe^{yz}} \, ds = \dfrac{\sqrt{29}}{12}  (e^{12}-1)   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

7 0
2 years ago
What is the difference between domain and range?
alekssr [168]

Domain: all x values between the ends of a line on the x- axis

Range: all y values between the ends of a line on the y-axis

4 0
3 years ago
What is the multiplicative inverse of 10/3?
nirvana33 [79]
<span>In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/ x or x −1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a / b is b / a. For the multiplicative inverse of a real number, divide 1 by the number.</span>
3 0
3 years ago
Read 2 more answers
Someone anwser this please​
Arlecino [84]
486/6 = 81
Square root 81 = one side length = 9m volume = 9^3 = 729
3 0
3 years ago
I need help I don’t understand
Gelneren [198K]
B is your answer lol
5 0
3 years ago
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