The length of the curve 
from x = 3 to x = 6 is 192 units
<h3>How to determine the length of the curve?</h3>
The curve is given as:
from x = 3 to x = 6
Start by differentiating the curve function
Evaluate
The length of the curve is calculated using:
This gives
![L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx](https://tex.z-dn.net/?f=L%20%3D%5Cint%5Climits%5E6_3%20%7B%5Csqrt%7B1%20%2B%20%5Bx%289x%5E2%20%2B%206%29%5E%5Cfrac%2012%5D%5E2%7D%5C%20dx)
Expand
This gives
Express as a perfect square
Evaluate the exponent
Differentiate
Expand
L = (6³ + 6) - (3³ + 3)
Evaluate
L = 192
Hence, the length of the curve is 192 units
Read more about curve lengths at:
brainly.com/question/14015568
#SPJ1
17128.........................
5 x 11.75 = $58.75 (admission ticket)
5 x 5 = $25.00 (box lunch)
$25.00 + $58.75 = $83.73 (total)
Answer:
Step-by-step explanation:
The expression relating the distance and the time is:
velocity = distance / time
We are given the velocity as 12 km/h
Part a:
for t = 3.5 hours
velocity = distance / time
distance = velocity x time
distance = 12 x 3.5 = 42 km
Part b:
for s = 30 km
velocity = distance / time
time = distance / velocity
time = 30 / 12 = 2.5 hours
