
Concept explainers
Modeling Data
A company builds a ware house with dimensions 30 feet by 50 feet. The symmetrical shape and selected heights of the roof are shown in the figure.
(a) Use the regression capabilities of a graphing utility to find a model of the form
for the roof line.
(b) Use the numerical
(c) Use the numerical integration capabilities of a graphing utility and the model in part (a) to approximate the surface area of the roof.
(d) Approximate the are length of the roof line and find the surface area of the roof by multiplying the arc length by the length of the ware house. Compare the results and the integrations with those found in part (c).

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Chapter 14 Solutions
Calculus
- A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.arrow_forwardExplain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)arrow_forwarduse Integration by Parts to derive 12.6.1arrow_forward
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- use Corollary 12.6.2 and 12.6.3 to derive 12.6.4,12.6.5, 12.6.6 and 12.6.7arrow_forwardExplain the focus and reasons for establishment of 12.5.1(lim(n->infinite) and sigma of k=0 to n)arrow_forwardExplain the focus and reasons for establishment of 12.5.3 about alternating series. and explain the reason why (sigma k=1 to infinite)(-1)k+1/k = 1/1 - 1/2 + 1/3 - 1/4 + .... converges.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage