Answer:
Step-by-step explanation:
Well, since it was not given the interval let's use the interval [0,5] with n=10
So now, for the Trapezoidal Rule to approximate the area enclosed by the Integral of: ![f(x)=7\pi \sin(x)](https://tex.z-dn.net/?f=f%28x%29%3D7%5Cpi%20%5Csin%28x%29)
Plugging in:
![T_{10}=\frac{5-0}{2*10}[f(0)+2f(\frac{1}{2})+2f(1)+2f(\frac{3}{2})+2f(2)+2f(5/2)+2f(3)+2f(7/2)+2f(4)+2f(9/2) +f(5)]](https://tex.z-dn.net/?f=T_%7B10%7D%3D%5Cfrac%7B5-0%7D%7B2%2A10%7D%5Bf%280%29%2B2f%28%5Cfrac%7B1%7D%7B2%7D%29%2B2f%281%29%2B2f%28%5Cfrac%7B3%7D%7B2%7D%29%2B2f%282%29%2B2f%285%2F2%29%2B2f%283%29%2B2f%287%2F2%29%2B2f%284%29%2B2f%289%2F2%29%20%2Bf%285%29%5D)
![T_{10}=\frac{1}{4}[0+21.086+37+43.87+39.99+26.322+6.20-15.43-33.285-42.99-21.087]](https://tex.z-dn.net/?f=T_%7B10%7D%3D%5Cfrac%7B1%7D%7B4%7D%5B0%2B21.086%2B37%2B43.87%2B39.99%2B26.322%2B6.20-15.43-33.285-42.99-21.087%5D)
![T_{10}\approx 15.419](https://tex.z-dn.net/?f=T_%7B10%7D%5Capprox%2015.419)
Now the same area according to Simpson rule:
![S_{10}=\frac{b-a}{3n}[f(a)+4f(x_{1})+2f(x_{2})+4f(x_{3} )+2f(x_{4})+4f(x_{5})+2f(x_{6})+4f(x_{7})+2f(x_{8})+4f(x_{9})+f(b)]\\S_{10}=\frac{5}{3*10}[0+74.01+43.87+79.98+26.322+12.413-15.43-66.571-42.99-21.08]\approx 15.085](https://tex.z-dn.net/?f=S_%7B10%7D%3D%5Cfrac%7Bb-a%7D%7B3n%7D%5Bf%28a%29%2B4f%28x_%7B1%7D%29%2B2f%28x_%7B2%7D%29%2B4f%28x_%7B3%7D%20%29%2B2f%28x_%7B4%7D%29%2B4f%28x_%7B5%7D%29%2B2f%28x_%7B6%7D%29%2B4f%28x_%7B7%7D%29%2B2f%28x_%7B8%7D%29%2B4f%28x_%7B9%7D%29%2Bf%28b%29%5D%5C%5CS_%7B10%7D%3D%5Cfrac%7B5%7D%7B3%2A10%7D%5B0%2B74.01%2B43.87%2B79.98%2B26.322%2B12.413-15.43-66.571-42.99-21.08%5D%5Capprox%2015.085)
![S_{10}\approx 15.0585](https://tex.z-dn.net/?f=S_%7B10%7D%5Capprox%2015.0585)
Answer:
5.34
Step-by-step explanation:
f(-2) requires that we change x with -2 in the f(x) equation, yet the f(x) =5.34 so it has no x, therefore f(-2) =5.34
The mass of the regular hippo at birth to that of the pygmy hippo is 49/11
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
The pygmy hippo had a mass of 5 1/2 kg at birth = 5.5 kg.
The regular hippo had a mass of 24 1/2 kg at birth = 24.5 kg
Hence:
Ratio of regular hippo to pygmy hippo = 24.5 / 5.5 = 49/11
The mass of the regular hippo at birth to that of the pygmy hippo is 49/11
Find out more on equation at: brainly.com/question/2972832
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12x4 48
9x6 54
48x54 2592 is the total area