MATH 270
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MATH 270 Week 1 iLab
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MATH 270 Week 2 iLab
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1. Given the following geometric series write out the first 5 partial sums. Explain how to do this.
2. Do these partial sums appear to be approaching a finite sum for the entire series? If so, what does that sum appear to be?
3. How do we know for sure that the above infinite geometric se.....

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Directions: Determine the Taylor Series for the following function: for n = 4 where a = 1
1. Determine the first four derivatives of
2. Evaluate and the derivatives above at x = a = 1
3. The formula for the Taylor Series is . Plug the values from question.....

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Part I: Separable Differential Equations
1. What is meant by separable? What should you look for in a differential equation to decide if it is separable or not?
2. Is separable? If so, how can it be separated? Hint: Remember that .
3. Integrate both the left and right side.....

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Part I: Second Order Homogeneous Differential Equations
1.What is meant by homogeneous? What should you look for to determine the order of a differential equation?
2.Solve the characteristic equation above for the roots . Hint: you may need to solve by factoring or by using the quad.....

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MATH 270 Week 7 iLab
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