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Questions and Answers
Define the set N.
Define the set N.
N is the set of all natural numbers.
What is a set?
What is a set?
A set is a well defined collection of objects.
How are sets represented in roster form?
How are sets represented in roster form?
Sets are represented by listing the elements separated by commas and enclosed with braces.
What is the binomial theorem?
What is the binomial theorem?
What does the set builder form represent?
What does the set builder form represent?
Explain the concept of limits and derivatives.
Explain the concept of limits and derivatives.
Find the limit as $x$ approaches 3 of $(2x^2 - 5x - 3)/(x-3)$.
Find the limit as $x$ approaches 3 of $(2x^2 - 5x - 3)/(x-3)$.
Using derivatives, find the limit as $x$ approaches 3 of $(x^4 - 81)/(x-3)$.
Using derivatives, find the limit as $x$ approaches 3 of $(x^4 - 81)/(x-3)$.
Calculate the derivative of $x^2 - 2$ at $x = 10$.
Calculate the derivative of $x^2 - 2$ at $x = 10$.
Differentiate $(x-1)(x-2)$ with respect to $x$.
Differentiate $(x-1)(x-2)$ with respect to $x$.
Find $f'(x)$ if $f(x) = \sin(x)\cos(x)$.
Find $f'(x)$ if $f(x) = \sin(x)\cos(x)$.
Write a short answer essay question on trigonometric derivatives.
Write a short answer essay question on trigonometric derivatives.
Write a short answer essay question on the binomial theorem.
Write a short answer essay question on the binomial theorem.
Find the value of sin 15°.
Find the value of sin 15°.
Calculate sin 765°.
Calculate sin 765°.
What is sin(𝜋 - 𝑥)?
What is sin(𝜋 - 𝑥)?
Prove that cos 𝑥+cos 𝑦 = 1.
Prove that cos 𝑥+cos 𝑦 = 1.
State the trigonometric identity: sin 7x - sin 5x = cot x.
State the trigonometric identity: sin 7x - sin 5x = cot x.
Prove that sin 45° cos 30° - cos 45° sin 30° = 1.
Prove that sin 45° cos 30° - cos 45° sin 30° = 1.
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