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(a) Show that the following quadrature formula has degree of precision equal to 3,
-1∫1 f(x) dx = f(-√3 / 3) + f( -√3 / 3).
(b) Approximate the following integral using Gaussian quadrature with n = 2, 3, 5,
1∫1.5 x2 ln x dx.
In a genetics experiment 5 flowers out of 8 were bicolor, and the rest were solid color. If 3 of the flowers are selected at random without replacement, what is the probability that all 3 are bicolor?
How many times more energy is released by a magnitude 6 earthquake than by a magnitude 2 earthquake?When you are 2 meters away from the speakers at a concert, the sound level is 130 db. How far away should you sit to reduce the level to 110 dB?
A dilation has a scale factor of 1/4. What term best describes this type of dilation?
verifying some important results over real valued functions.prove or disprovelet fgh be real-valued functions and let
in a homeless shelter 572 men were counted. this number was 2and 34 times the number of children and 2 and 12 times
Explain why you would use grouping when factoring 6x4 - 9x3 + 2xy - 3y and describe the steps in the process.
imeter of the rectangle is 310ft. the width is 35ft less than the length. Find the width and length of the rectangle.
1)What does m^3 ≡2^3 ≡3 (mod5) means? Where does 3 come from?
How long do you have to pay that monthly amount? Over the course of each loan, how much total do you pay? How much of that is interest? How much interest will you pay in total?
A constant force F= -3i + 8j +10k moves an object along a straight line from point (-6, -5, -4) to point (-3, 1, -6). Find the work done if the distance is measured in meters and the magnitude of the force is measured in Newtons.
Use the graph to find the domain and the range. Choose the correct domain. Choose the correct range.
What are the different methods that can be used to solve a differential equation? Please provide a numbered list.
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