2111130
| Questão | Responda |
| Define an impartial fraction | A fraction whose degree of numerator is equal to, or larger than, the degree of the denominator. |
| ʃ y dx of a set of parametric equations can be found using what formula? | ʃ y x \(\frac{dx}{dt}\) dt |
| ʃ y² dx of a set of parametric equations can be found using what formula? | ʃ y² x \(\frac{dx}{dt}\) dt |
| What what values of x is this binomial expansion valid? √(1-3x) | I-3xI<1 I3xI<1 IxI<\[\frac{1}{3}\] |
| What is the differentiation formula for parametric equations? | |
| What is the implicit differentiation formula? | f(x).g(y) f(x).g'(y) (dy/dx) + g(y).f'(x) |
| What is the differential of \(a^x\)? | \(a^x\)lna |
| If a rate is proportional to x then it can be said that the rate expression = ... | kx |
| A vector quantity has both.... | magnitude and direction |
| What is a scalar? | A single number with only magnitude/size but no direction. |
| What is the triangle law? | A law for adding vectors |
| Adding the vectors PQ and QP gives... | 0 |
| The modulus of a vector gives its... | Magnitude |
| How do you find the unit vector of a vector a? | a ---- I a I |
| If \(\ambda\)a + \(\mu\)b = \(\alpha\)a + \(\beta\)b and the non-zero vectors a+b are not parallel... | \(\ambda\) = \(\alpha\) \(\mu\) = \(\beta\) |
| The distance from the origin to point (x, y, z) is... | √x²+y²+z² |
| THe distance between 2 points: ₂₃₁ (x₁, y₁, z₁) and (x₂, y₂, z₂) is... | √[ (x₁-x₂)² + (y₁-y₂)² + (z₁-z₂)² ] |
| What is a.b called? | The scalar product |
| What is the formula for the scalar product of 2 vectors? | a.b = I a I I b I cos \(\theta\) |
| If two vectors are perpendicular then a.b = ... | a.b = 0 |
| If 2 vectors are parallel a.b = ... | a.b = I a I I b I |
| What is the sec²x identity? | |
| What is the Cot²x identity? | |
| What is the sine double angle identity? | |
| What are the 2 forms of the cosine double angle identity? | |
| What is the integration by recognition formula for a fraction? | |
| What is the integration by recognition formula for functions with powers? | |
| What is the integration by parts formula? | |
| What is the trapezium rule? | |
| What is the formula for calculating h in the trapezium rule? | |
| What is the formula for solids of revolution 360 degrees of f(x)? | |
| Which method can you use to solve this and what is its formula? | Separating of variables |
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