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
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Answer:
Area = 1808.64 cm
Step-by-step explanation:
Circumference of a circle = 2πr
Circumference = 150.72
π = 3.14
r = radius
150.72 = 2 x 3.14 x r
150.72 = 6.28 r
r = 150.72/6.28
r = 24cm
Radius = 24
Area of a circle = πr²
Area = 3.14 x 24²
Area = 3.14 x 576
Area =1808.64 cm
The answer to the equation is 298
Answer:
y=4x-9
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
The HL theorem basically says that two triangles are congruent if their corresponding hypotenuses and one leg are equal.
Here, the hypotenuse of both triangles are each marked with two dashes meaning they're equal. Similarly, QE and ET are both equal.
Therefore we can see that they can be proved congruent by the HL Theorem.
