What is the period of the function $$y = -5sin(3x)$$ ?

The period is $$\frac{2\pi}{3}$$ .

What is the difference quotient of a function $$f(x) = x^2 - 4x$$ ?

The difference quotient is $$\frac{f(x+h) - f(x)}{h} = 2x - h - 4$$ .

Simplify the expression $$\frac{6m^7}{(4m^3)^2}$$ .

The simplified form is $$\frac{3}{8}m$$ .

What is the formula for the period of a sine function $$y = a\sin(bx)$$ ?

The period is given by $$\frac{2\pi}{|b|}$$ .

What is the quadratic formula?

The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What is the sum of angles formula for sine?

$$\sin(a + b) = \sin(a)\cos(b) + \cos(a)\sin(b)$$ .

What is the formula for the area of a triangle?

The area is given by $$\frac{1}{2} \times base \times height$$ .

What is the chain rule in calculus?

If $$y = f(g(x))$$ , then $$\frac{dy}{dx} = f$$ .

What is the formula for the slope of a line?

The slope is given by $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ .

What is the definition of a function?

A function is a relation that assigns exactly one output for each input.

What is the definition of a limit in calculus?

A limit is the value that a function approaches as the input approaches a certain value.

Lecture #23 - Final Exam Review - Math 1113 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

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2.

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What is the double angle identity for sine?

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3.

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4.

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5.

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6.

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What is the Pythagorean identity for sine and cosine?

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7.

FLASHCARD QUESTION

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What is the formula for the difference of squares?

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