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
let's firstly convert the mixed fractions to improper fractions and then add them up.
![\bf \stackrel{mixed}{36\frac{4}{9}}\implies \cfrac{36\cdot 9+4}{9}\implies \stackrel{improper}{\cfrac{329}{9}} \\\\\\ \stackrel{mixed}{10\frac{2}{9}}\implies \cfrac{10\cdot 9+2}{9}\implies \stackrel{improper}{\cfrac{92}{9}}~\hfill \stackrel{mixed}{18\frac{2}{9}}\implies \cfrac{18\cdot 9+2}{9}\implies \stackrel{improper}{\cfrac{164}{9}} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B36%5Cfrac%7B4%7D%7B9%7D%7D%5Cimplies%20%5Ccfrac%7B36%5Ccdot%209%2B4%7D%7B9%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B329%7D%7B9%7D%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7Bmixed%7D%7B10%5Cfrac%7B2%7D%7B9%7D%7D%5Cimplies%20%5Ccfrac%7B10%5Ccdot%209%2B2%7D%7B9%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B92%7D%7B9%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B18%5Cfrac%7B2%7D%7B9%7D%7D%5Cimplies%20%5Ccfrac%7B18%5Ccdot%209%2B2%7D%7B9%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B164%7D%7B9%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
Answer:
I think the answer may be D. I am not certain but I would choose D.
Step-by-step explanation:
<u>Answer:</u>
is changing more quickly.
<u>Step-by-step explanation:</u>
This is because the equation has a larger slope. The speed of change is determined entirely by the slope; the larger the slope, the faster the line goes up or down. It doesn't matter if it's negative or positive. -29 is the slope of the equation.
<em>Please mark Brainliest.</em>
7 3/4
Step 1: Multiply 7 and 4.
7 x 4=28
Step 2:Add 3 to their product.
28+3=31
Step 3:The number so obtained is the numerator and the denominator remains the same.
Answer: 31/4
I think that is what you are looking for!
Hope that helps!!!
