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Chapter 2: Problem 15
Convert each of the following mathematical formulas to a C++ expression: \\[ 3 x \quad 3 x+y \quad \frac{x+y}{7} \quad \frac{3 x+y}{z+2} \\]
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Consider the quadratic expression \\[ x^{2}-4 x+3 \\] Describing where this quadratic is negative involves describing a set of numbers that are simultaneously greater than the smaller root (+1) and less than the larger root \((+3) .\) Write a \(\mathrm{C}++\) Boolean expression that is true when the value of this quadratic is negative.
Consider a quadratic expression, say \\[ x^{2}-x-2 \\] Describing where this quadratic is positive (that is, greater than 0 ). involves describing a set of numbers that are either less than the smaller root (which is -1 ) or greater than the larger root (which is +2 ). Write a \(\mathrm{C}++\) Boolean expression that is true when this formula has positive values.
Give a \(\mathrm{C}++\) statement that will change the value of the variable product to its old value multiplied by the value of the variable \(n\). The variables are all of type int.
Give an input statement that will fill the variable the_number (of type \(i n t)\) with a number typed in at the keyboard. Precede the input statement with a prompt statement asking the user to enter a whole number.
Write a short program that declares and initializes double variables one, two, three, four, and five to the values \(1.000,1.414,1.732,2.00 \theta,\) and \(2.236,\) respectively. Then write output statements to generate the following legend and table. Use the tab escape sequence It to line up the columns. If you are unfamiliar with the tab character, you should experiment with it while doing this exercise. A tab works like a mechanical stop on a typewriter. A tab causes output to begin in a next column, usually a multiple of eight spaces away, Many editors and most word processors will have adjustable tab stops, Our output does not. The output should be:
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