Calculus review WACE grade 11

Calculus review WACE grade 11

by Timothy Sullivan

Fill in the Blanks

The rate of change can be found using?

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"