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An object that is 15 cm tall is placed 18 cm from a concave mirror. The real image is formed 20 cm from the mirror. What is the focal length of the concave mirror? Use the formula: f = dodi/do +di

Explain the utility-maximizing rule of a consumer.


89. Outline and explain two characteristics of indifference curves.


Find the angle between the vectors √2i + 2j + 2k and i + √2j + √2k.


Discuss how the law of diminishing marginal utility occurs.


Explain the rationale why buffet or all-you-can-eat restaurants offering unlimited meals.


A piece of wire 36cm long is cut into two, one part being bent in the shape of an equilateral triangle and the other in the form of circle. Find the lengths of these two pieces of wire if the sum of the areas of these two figures is to be minimum.

Cite a real-life example of how you rationally behave as a consumer. 


 Write a complete C program consisting of the main function and a void function. The program uses the void function to display the following menu: 1. Square root of sum 2. Logarithm to base e of sum of squares Please enter your choice The program then prompts for and reads two values x and y each of type double. It then uses a switch statement to do the following, based on the selected choice: • Choice 1: The program displays the value of sqrt(x + y) if x + y is greater than or equal to zero; otherwise it displays an appropriate error message. • Choice 2: The program displays the value of log(x * x + y * y) if x2 + y2 is greater than zero; otherwise it displays an appropriate error message.


Postal regulations require that a parcel post package be no greater than 3m in the sum of its length and perimeter of its cross-section (girth). What is the volume in cubic meter 9f the largest package allowed by the postal regulations if the package is to be rectangular in shape and has square ends?


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