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1) The Arc Length of the curve f(x) = coshx, 0≤x≤ In3 is: d. 312 12 3 C. b. 2²/2 0.33 lorod by y=8-x²,y=-2 is

1) The Arc Length of the curve f(x) = coshx, 0≤x≤ In3 is: d. 312 12 3 C. b. 2²/2 0.33 lorod by y=8-x²,y=-2 is

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Below is the transcription of the provided image, optimized for an educational website: --- ### Calculus Practice Problems **1) The Arc Length of the curve f(x) = cosh x, 0 ≤ x ≤ ln 3 is:** a. \(\frac{4}{3}\) b. \(\frac{3}{4}\) c. \(\frac{12}{5}\) d. \(\frac{5}{12}\) **2) The Volume of the solid obtained when the region enclosed by \(y = 8 - x^2\), \(y = -2\) is revolved about \(y = -3\):** a. \(\pi \int_{-\sqrt{10}}^{\sqrt{10}} ((11 - x^2)^2 - (1)^2) dx \) b. \(\pi \int_{-\sqrt{10}}^{\sqrt{10}} ((12 - x^2)^2 - (2)^2) dx \) c. \(\pi \int_{-\sqrt{10}}^{\sqrt{10}} ((13 - x^2)^2 - (3)^2) dx \) d. \(\pi \int_{-\sqrt{10}}^{\sqrt{10}} ((5 - x^2)^2 - (5)^2) dx \) **3) \(\lim_{{x \to \infty}} (3x + e^{-x})^{\frac{4}{x}} =\)** a. \(e^{12}\) b. 0 c. 1 d. \(\infty\) **4) \(\int_{-\infty}^{\infty} \frac{e^{3x}}{1 + e^{6x}} \, dx =\)** a. Diverges b. Converges to \(\frac{\pi}{8}\) c. Converges to \(\frac{\pi}{6}\) d. Converges to \(\frac{\pi}{4}\) **5) One of the following sequences is a decreasing sequence:** a. \(\{ne^{n}\}\) b. \(\left\{\frac{n^3}{n+2}\right\}\) c. \(\{\ln n^3\}\) d. \(\{n - 2^n
Transcribed Image Text:Below is the transcription of the provided image, optimized for an educational website: --- ### Calculus Practice Problems **1) The Arc Length of the curve f(x) = cosh x, 0 ≤ x ≤ ln 3 is:** a. \(\frac{4}{3}\) b. \(\frac{3}{4}\) c. \(\frac{12}{5}\) d. \(\frac{5}{12}\) **2) The Volume of the solid obtained when the region enclosed by \(y = 8 - x^2\), \(y = -2\) is revolved about \(y = -3\):** a. \(\pi \int_{-\sqrt{10}}^{\sqrt{10}} ((11 - x^2)^2 - (1)^2) dx \) b. \(\pi \int_{-\sqrt{10}}^{\sqrt{10}} ((12 - x^2)^2 - (2)^2) dx \) c. \(\pi \int_{-\sqrt{10}}^{\sqrt{10}} ((13 - x^2)^2 - (3)^2) dx \) d. \(\pi \int_{-\sqrt{10}}^{\sqrt{10}} ((5 - x^2)^2 - (5)^2) dx \) **3) \(\lim_{{x \to \infty}} (3x + e^{-x})^{\frac{4}{x}} =\)** a. \(e^{12}\) b. 0 c. 1 d. \(\infty\) **4) \(\int_{-\infty}^{\infty} \frac{e^{3x}}{1 + e^{6x}} \, dx =\)** a. Diverges b. Converges to \(\frac{\pi}{8}\) c. Converges to \(\frac{\pi}{6}\) d. Converges to \(\frac{\pi}{4}\) **5) One of the following sequences is a decreasing sequence:** a. \(\{ne^{n}\}\) b. \(\left\{\frac{n^3}{n+2}\right\}\) c. \(\{\ln n^3\}\) d. \(\{n - 2^n
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