You should only use the delete operator to deallocate memory that was dynamically acquired with the __________ operator.

A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft³/min. How fast is the diameter of the balloon increasing when the radius is 1 ft?

In the following exercise, let V be a finite dimensional vector space over the complex numbers, and let $A: V \rightarrow V$ be an operator. Show that A can be written in the form A = D + N, where D is a diagonalizable operator, N is a nilpotent operator, and DN = ND.

When the increment or decrement operator is placed before the operand (or to the operand’s left), the operator is being used in __________ mode.

T F The = operator and the == operator perform the same operation when used in a Boolean expression.

(Polynomial Class) Develop class Polynomial. The internal representation of a Polynomial is an array of terms. Each term contains a coefficient and an exponent, e.g., the term

$$2x^4$$

has the coefficient 2 and the exponent 4. Develop a complete class containing proper constructor and destructor functions as well as set and get functions. The class should also provide the following overloaded operator capabilities:

• a) Overload the addition operator (+) to add two Polynomials.
• b) Overload the subtraction operator (-) to subtract two Polynomials.
• c) Overload the assignment operator to assign one Polynomial to another.
• d) Overload the multiplication operator (*) to multiply two Polynomials.
• e) Overload the addition assignment operator (+=), subtraction assignment operator (-=), and multiplication assignment operator (*=).

T F In using a pointer with the delete operator, it is not necessary for the pointer to have been previously used with the new operator.

You should only use the delete operator to deallocate memory that was dynamically acquired with the __________ operator.

Mark the following statement as true or false. In C++, the dereferencing operator has a higher precedence than the dot operator.

A sewing machine operator may sew coats or trousers. The trousers require 3 minutes of sewing time, and the operator receives $0.50 each. A coat requires 8 minutes of sewing time, and the operator receives$1.00 each. The operator must sew at least three coats per hour. How many coats and how many trousers should the operator sew each hour to maximize hourly income?

Using the usual vertex labels of strings of 0 's and 1's, give a Hamiltonian circuit for the Hasse diagram of $B_4$.

When the increment or decrement operator is placed before the operand (or to the operand’s left), the operator is being used in _______ mode.

Why shouldn’t a class’s overloaded = operator be implemented with a void operator function?

When the * operator’s left operand is a list and its right operand is an integer, the operator becomes this.

1. The multiplication operator
2. The repetition operator
3. The initialization operator
4. Nothing—the operator does not support those types of operands.