Approximating Arc Length or Surface Area In Exercises 65-68, write the definite integral for finding the indicated arc length or surface area. Then use the
Bulb Design An ornamental light bulb is designed by revolving the graph of
about the x-axis, where x and y are measured in feet (see figure). Find the surface area of the bulb and use the result to approximate the amount of glass needed to make the bulb. Assume that the thickness of the glass is 0.015 inch.
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Calculus (MindTap Course List)
- Derive the cauchy Integral formula.?( Mathematical methods for physicists)arrow_forwardCalculus 2 HW Please calculate the improper integral and explain it.arrow_forwardIn Exercises 10-37, evaluate the indefinite integral. Remember, there areno Product, Quotient, or Chain Rules for integration.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage