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We want to find the integral of a function at an arbitrary location x from the origin. Thus,
where I(x=0) is the value of the integral for all times less than 0. (Essentially, I(x=0) is the unknown constant of integration or the initial condition.) From the class lecture on the trapezoidal rule for numerical integration, it can be seen that this function can be approximated by
Write a Matlab function to perform numerical integration of a set of evenly spaced data points using the trapezoidal rule. Your function should accept two vectors as inputs, x and f.
The first vector (x) contains the independent variable data (the points at which the values of the function are known. The second vector (f) should contain the values of the function at the points provided in the first vector. Your function should return the integral of f with respect to x, as a function of x.
Question: (a) Suppose that a cookie shop has four different kinds of cookies. Assuming that only the type of cookie, and not the individual cookies or the order in which they
Find the 14th term in the arithmetic sequence. 60, 68, 76, 84, 92
If the diameter of a circle is tripled times, the circumference is a. multiplied by 3. b. multiplied by 6. c. multiplied by 9. d. multiplied by 12. a. The formula fo
One integer is four times other. The sum of the integers is 5. What is the value of the lesser integer? Let x = the lesser integer and now let y = the greater integer. The ?rst
One of two complementary angles is 80& of the other. What is the degree measure of the smaller angle?
intigration techiniqes
Use the graph of y = x2 - 6x to answer the following: a) Without solving the equation (or factoring), determine the solutions to the equation x 2 - 6x = 0 usi
Consider a class of 55 students. The student names are placed in a hat & 3 names are randomly drawn without replacement. a) If the first person drawn was named the class presi
defination of uper boundarie .
What is the greatest common factor of 24 and 64? List the factors of 24 and 64. The largest factor that they have in common is the greatest common factor. Factors of 24: 1,
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