Explain the relationship between the roots and coefficients of a polynomial.

For a polynomial $$ax^2 + bx + c$$ , the sum of the roots is $$-\frac{b}{a}$$ and the product of the roots is $$\frac{c}{a}$$ .

What is the Pythagorean identity?

The Pythagorean identity states that $$sin^2x + cos^2x = 1$$ .

Define cotangent in terms of sine and cosine.

Cotangent is defined as $$cot(x) = \frac{cos(x)}{sin(x)}$$ .

What is the derivative of sin(x)?

The derivative of sin(x) is cos(x).

State the quadratic formula.

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

What is the difference between a rational and an irrational number?

A rational number can be expressed as a fraction $$\frac{p}{q}$$ where p and q are integers, while an irrational number cannot be expressed as a simple fraction.

Explain the concept of limits in calculus.

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

What is the definition of a function?

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

Precalculus review

Flashcard

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.BF.A.2, HSA.APR.B.3, HSA.SSE.B.4

Standards-aligned

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FLASHCARD QUESTION

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Express the series 5 + 11 + 17 + ... + 95 using sigma notation.

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