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"Those who are governed at the will of another,and whose property may be taken from them by taxes...without their own consent,and against their will,are in the miserable condition of slaves… the British subjects in America,have equal rights with those in Britain;...as an inherent indefeasible right… But it will be said,that the monies drawn from the colonies by duties...will be laid up and set apart to be used for their future defence.This will not at all alleviate the hardship,but serves only more strongly to mark the servile state of the people.Free people have ever thought,and always will think,that the money necessary for their defence lies safest in their own hands."
Stephen Hopkins,The Rights of the Colonists Examined,1764
"The several New England charters ascertain,define,and limit the respective rights and privileges of each colony,and I cannot conceive how it has come to pass that the colonies now claim any other or greater rights than are therein expressly granted to them… Hence it is plain to me that in denying [the jurisdiction of Parliament] we at the same time take leave of the common law and thereby,with equal temerity and folly,strip ourselves of every blessing we enjoy as Englishmen… Believe me,my friend,it gives me great pain to see so much ingratitude in the colonies to the mother country,whose arms and money so lately rescued them from a French government."
Martin Howard,A Letter from a Goodman at Halifax to his Friend in Rhode Island,1765
Using the excerpts above,answer parts a,b,and c.
a)Briefly explain the main point of Hopkins' passage.
b)Briefly explain the main point of Howard's passage.
c)Provide ONE piece of evidence from the era of the American Revolution,not included in the passages,and explain how it supports the viewpoint of one of the passages.
Cubic Polynomial
A polynomial of degree three, characterized by an equation of the form ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.
Quintic Polynomial
A polynomial of degree five, represented as \(ax^5 + bx^4 + cx^3 + dx^2 + ex + f\) where \(a\), \(b\), \(c\), \(d\), \(e\), and \(f\) are constants and \(a \neq 0\).
Scientific Notation
A way of expressing numbers that are too big or too small to be conveniently written in decimal form, using powers of 10.
Position Function
A mathematical function that describes the position of an object as a function of time, often used in physics to study motion.
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