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Applications of Integration: Word Problems & Newton's Method

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10 pts. 2. A farmer with 750 feet of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible area of the four pens?

10 pts. 3. Use Newton's method to find the approximations from x1 to x3 to find the third approximation of the root of the given equation x5 + 2= 0 Start with x1 = -1

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10 pts. 4. Evaluate ∫ (x2 + 2x - 5) dx using the summation definition of a definite integral.....
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Solution:

Let l and w denote the length and width of the rectangle. The total amount of fencing used is 2l + 5w, and we know ...

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  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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