1 / 6

Analyzing Functions and Volume Calculations in Advanced Mathematics

This task involves several mathematical problems including determining function values from a given table, identifying exponential functions from graphs, computing the volume of solids generated by rotation, and finding derivatives of inverse functions using established theorems. Each exercise helps reinforce concepts such as function evaluation, graph interpretation, and volume integration techniques, which are pivotal in calculus and analysis.

kiet
Télécharger la présentation

Analyzing Functions and Volume Calculations in Advanced Mathematics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 1. 2. 3. Determine f(x) from the table: x f(x) -1 0.5 0 1 1 2 2 4 Choose the answer from the following: • {image} • {image} • {image}

  2. 1. 2. 3. Determine f(x) from the table. The values from the table are given to the nearest ten thousandth: x f(x) -1 20.0855 0 1 1 0.0498 2 0.0025 Choose the answer from the following: • {image} • {image} • {image}

  3. 1. 2. 3. 4. Find the exponential function {image} whose graph is given. {applet} • {image} • {image} • {image} • {image}

  4. Find b from the following graph of: {image} {applet} • 6 • 5 • 3

  5. 1. 2. 3. 4. 5. Find the volume of the solid obtained by rotating about the y - axis the region bounded by the curves {image} • {image} • {image} • {image} • {image} • {image}

  6. 1. 2. 3. 4. If f ( x ) = 6 + 5x + e x, find ( f -1)' ( 7 ). Use the theorem on the derivative of the inverse function. • {image} • {image} • {image} • {image}

More Related