This is a very good question to know about. People who make tests really like it.
The way to solve it is to make the slower car stop and use the difference in speed = to the rate. then do it as an ordinary d = r*t problem.
The difference in speeds is 44 - 36 = 8 miles/ hour.
d = 260 miles
r = 8 mph
t = ???
t = d/r
t = 260/8
t = 32.5 hours.
Thats 32 1/2 hours.
Answer:
962
Step-by-step explanation:
MMM for step by step its kinda just plug and check
962/3 = 320 R2
962/6 = 160 R2
962/8 = 120 R2
962/10 = 96 R2
962/12 = 80 R2
and finally 962/13 = 74
You need to give a little more detail. I don't understand what you are asking.
Answer:
its D, i just took the test lol
Step-by-step explanation:
Answer:
a. 
b. ![\mathbf{ \dfrac{1}{108} [ 145 \sqrt{145} - 1]}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%20%5Cdfrac%7B1%7D%7B108%7D%20%5B%20145%20%5Csqrt%7B145%7D%20-%201%5D%7D%7D)
Step-by-step explanation:
Evaluate integral _C x ds where C is
a. the straight line segment x = t, y = t/2, from (0, 0) to (12, 6)
i . e

where;
x = t , y = t/2
the derivative of x with respect to t is:

the derivative of y with respect to t is:

and t varies from 0 to 12.
we all know that:

∴


![= \dfrac{\sqrt{5}}{2} \ \ [\dfrac{t^2}{2}]^{12}_0](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B%5Csqrt%7B5%7D%7D%7B2%7D%20%5C%20%5C%20%5B%5Cdfrac%7Bt%5E2%7D%7B2%7D%5D%5E%7B12%7D_0)

= 
b. the parabolic curve x = t, y = 3t^2, from (0, 0) to (2, 12)
Given that:
x = t ; y = 3t²
the derivative of x with respect to t is:

the derivative of y with respect to t is:


Hence; the integral _C x ds is:

Let consider u to be equal to 1 + 36t²
1 + 36t² = u
Then, the differential of t with respect to u is :
76 tdt = du

The upper limit of the integral is = 1 + 36× 2² = 1 + 36×4= 145
Thus;



![\mathtt{= \dfrac{2}{216} [ 145 \sqrt{145} - 1]}](https://tex.z-dn.net/?f=%5Cmathtt%7B%3D%20%5Cdfrac%7B2%7D%7B216%7D%20%5B%20145%20%5Csqrt%7B145%7D%20-%201%5D%7D)
![\mathbf{= \dfrac{1}{108} [ 145 \sqrt{145} - 1]}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%20%5Cdfrac%7B1%7D%7B108%7D%20%5B%20145%20%5Csqrt%7B145%7D%20-%201%5D%7D%7D)