Calculus review WACE grade 11

Calculus review WACE grade 11

by Timothy Sullivan

Multiple Choice

What is the average rate of change between x=3 and x=5 for $$y=2x^{2\ }+4\$$  ?

• 14

• 12

• 8

• $$\frac{2}{5}x^{5\ }-\frac{3}{2}x^2,\ 24$$  

Multiple Choice

Find the derivative and gradient at the pont x=2 $$y=2x^4-3x\$$  

• $$8x^3-3,\ 61$$  

• $$8x^4-3x,\ 138$$  

• $$8x^3-3,\ 67$$  

• $$\frac{2}{5}x^{5\ }-\frac{3}{2}x^2,\ 24$$  

Multiple Choice

The function $$f(x)=x^3\ –\ 6x^2+9x+15$$ is local maxima at 

• x = 1

• x = 3

• no point of maxima and minima

• none of these

Multiple Choice

integrate ∫3x² + 2x + 3 dx

• x³ + x² + 5x + c

• 0

• x³ + x² + 3x + c

• x⁴ + x² + 3x + c

Multiple Choice

For times t > 0, a particle moves on the x axis with its acceleration defined by a(t) = 6t – 2. If the velocity of the particle is -7 at t = 1, then at what time is the particle at rest?

• t = 4

• t = 1

• t = 2

• t = 4/3

Poll

How is our confidence level from 1-5?

1 = "Oh god help me that was complete nonsense and makes no sense"

2 = "some of that seemed familiar but I don't think I could do it"

3 = "i know this stuff but could do with some practice"

4 = "i can do this... I'm pretty sure at least"

5 = "step aside Mr. Tim! there's a new calculus expert in town"

• "Oh god help me that was complete nonsense and makes no sense"

• "some of that seemed familiar but I don't think I could do it"

• "i know this stuff but could do with some practice"

• "i can do this... I'm pretty sure at least"

• "step aside Mr. Tim! there's a new calculus expert in town"