Calculus: Early Transcendental Functions 4th. Edition by Roland Minton, Robert Smith | 9780073532325 | 0073532320 | Holooly

Calculus: Early Transcendental Functions

827 SOLVED PROBLEMS

Question: 4.5.2

Computing a Definite Integral Exactly Compute ∫1^4 (√x – 1/x²) dx. ...

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Observe that since

f(x)=x^{1 / 2}-x^{-2}[/l...

Question: 4.2.7

A Sum of Function Values at Equally Spaced x ’s Sum the values of f(x) = 3x² − 4x + 2 evaluated at x = 1.05, x = 1.15, x = 1.25, . . . , x = 2.95. ...

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You will need to think carefully about the x’s. Th...

Question: 3.1.4

Using a Linear Approximation to Perform Linear Interpolation Suppose that based on market research, a company estimates that f(x) thousand small cameras can be sold at the price of $x, as given in the accompanying table. Estimate the number of cameras that can be sold at $7. ...

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The closest x-value to x = 7 in the table is x = 6...

Question: 3.1.3

Linear Approximation to Some Cube Roots Use a linear approximation to approximate ³√8.02, ³√8.07, ³√8.15 and ³√25.2. ...

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Here we are approximating values of the function [...

Question: 2.2.7

Showing That a Function Is Not Differentiable at a Point Show that ...

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The graph (see Figure 2.18) indicates a sharp corn...

Question: 8.5.8

Using the Root Test Use the Root Test to determine the convergence or divergence of the series ∑^∞k=1 (2k + 4/5k − 1 )^k. ...

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In this case, we consider

\lim _{k \rightar...

Question: 8.5.4

Using the Ratio Test ∑^∞k=1 (−1)^k k/2k for convergence. ...

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The graph of the first 20 partial sums of the seri...

Question: 8.5.5

Using the Ratio Test ∑^∞k=0 (−1)^k k!/e^k for convergence. ...

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The graph of the first 20 partial sums of the seri...

Question: 8.3.1

Using the Integral Test Investigate the convergence or divergence of the series ∑^∞ k=0 {1/k² + 1}. ...

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The graph of the first 20 partial sums shown in Fi...

Question: 8.3.6

Using the Comparison Test for a Divergent Series Investigate the convergence or divergence of ∑^∞k=1 5^k + 1/2^k − 1. ...

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From the graph of the first 20 partial sums seen i...

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