Missing information:
How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point

Answer:

Step-by-step explanation:
Given




Express the given point P as a unit tangent vector:

Next, find the gradient of P and T using: 
Where

So: the gradient becomes:

![\triangle T = [(sin \sqrt 3)i + (cos \sqrt 3)j] * [\frac{\sqrt 3}{2}i - \frac{1}{2}j]](https://tex.z-dn.net/?f=%5Ctriangle%20T%20%3D%20%5B%28sin%20%5Csqrt%203%29i%20%2B%20%28cos%20%5Csqrt%203%29j%5D%20%2A%20%20%5B%5Cfrac%7B%5Csqrt%203%7D%7B2%7Di%20-%20%5Cfrac%7B1%7D%7B2%7Dj%5D)
By vector multiplication, we have:




Hence, the rate is:
21 I think I'm not sure tho
Answer: I think the answer is 173.25
Step-by-step explanation:
To find that you have to times them.
15.0*11.55 = 173.25
(1,10)(-3,2)
slope = (2-10) / (-3-1) = -8/-4 = 2
y = mx + b
slope(m) = 2
(1,10)...x = 1 and y = 10
now we sub and solve for b, the y int
10 = 2(1) + b
10 = 2 + b
10 - 2 = b
8 = b
equation is : y = 2x + 8.....or 2x - y = -8