Numerade

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For the large conical water tank at your warehouse, the volume $V$ of water in the tank measured in cubic feet is related to the height $h$ of water in the tank in feet by the formula $V = \frac{1}{9}\pi h^3$. The tank is being filled with water at a constant rate of 1.6 cubic feet per second. Find the rate at which the height is increasing when the height is 8 feet. (Round your answer to two decimal places.) Rate:

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Johanna, age 4, believes that her parents will always be with her and even talks about how they can go to college with her. This is an example of.

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Price $100 S 80 60 50 40 20 D 0 10 20 30 40 50 60 70 80 90 100 Quantity

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1. Three vibration data sets have been posted on the course website, which were collected by using the following experimental setup. The tested bearings have three health conditions: healthy, faulty with an outer race defect, and faulty with an inner race defect. The testing conditions are: shaft rotating speed is 1200 rpm, and the sampling frequency is 32,700 Hz (selected by the monitoring system). NC: normal (healthy condition); OR: out race damage; IR: inner race damage. (a) Compute the theoretical characteristic frequencies on the amplitude spectra, corresponding to these three bearing health conditions. (b) Do fault diagnosis for these three bearings. Motor Testec bearing Gearbox Ch #1 Ch #2 Ch #3 (1) Drive motor: 3 HP. (2) Tested bearing parameters: deep-groove ball bearing, d = 7.937mm, D = 33.503mm, a = 0, Z = 8

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A quadratic function has equation y = x^2 - 14x + 33. What is the equation of the function's axis of symmetry?

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Suppose $F(t)$ has the derivative $f(t)$ shown below, and $F(0) = 6$. Find values for $F(4)$ and $F(7)$

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Program #2: Upper or Lower? This program will prompt the user as to whether they wish to view upper or lowercase letters. The user will then enter a response (for example, the letter 'u' for uppercase or 'l' for lowercase). So if the user were to select uppercase, the program should then display all the alphabetic letters in uppercase; if the user specifies lowercase, the program should display all the lowercase letters. In order to test to see which character the user enters at the keyboard, you'll need to test the value of variable and determine what's stored in it. This will require a simple "if" statement, which you can read about beginning on p.75. An example dealing with an integer is on p.76, and the syntax requirements is on p.77. (It would probably be wise to first write some quick throw-away code to experiment with if/else statements so you have a good feeling about them.) Another restriction on this program -- you can't simply display a string literal containing the alphabet! Instead, you must figure out how to generate the alphabetic display with a "while" loop. If you're stuck, read up on the "char" data type, and also check out the ASCII chart on p.1038 in your book. Save your code in a file called upper_or_lower.cpp in the HW03 subdirectory. Have fun!

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Q5: Provide C++ class definitions that define a base class A, which has a subclass B publically derived from A, which itself has a subclass C publically derived from B. The A class must implement a method, which is overridden in both B and C. Provided C++ statements that instantiate A, B, and C and includes three calls to the method. One of the calls must be statically bound to A's method. One call must be dynamically bound to B's method, and one must be dynamically bound to C's method. All of the method calls must be through a pointer to class A. (Hint: slide # 38 of Chapter 12)

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Find the first three terms of the Taylor series in x - a. $e^x$, a = 3 $e^3[1 + (x - 3) + \frac{1}{2}(x - 3)^2 + ...$ $e^3[(x - 3) + \frac{1}{2}(x - 3)^2 + \frac{1}{6}(x - 3)^3 + ...$ $e^3[1 + (x - 3) + \frac{1}{2}(x - 3)^2 + ...$ $e[(x - 3) + \frac{1}{2}(x - 3)^2 + \frac{1}{6}(x - 3)^3 + ...$

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3. A system has a transfer function $g(t) = 12te^{-4t}u(t)$. Using Laplace transforms, find the time domain output if the time domain input to the system is $4u(t)$.

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lidia r.