University of Nevada Las Vegas Mathematics Quiz Problems

Question Description

For non-numerical answers, answer questions with only the right hand solution. Do not include any spaces. Answer with x first

1. Given LaTeX: fleft(xright)=-4x^2+20x+25

at what value of x is the function optimized?

2. Given LaTeX: fleft(xright)=-4x^2+20x+25

what is $LaTeX: frac{d^2fleft(xright)}{dx^2}$

3. Given LaTeX: fleft(xright)=-4x^2+20x+25

at the value of x that optimizes the function, it is a relative ________

Min, Max, Neither Min or Max

which one?

4. Given LaTeX: fleft(xright)=6x^3+4x^2+8x+16

what is LaTeX: f"left(xright)

5. Given LaTeX: fleft(xright)=-4x^3-2x^2+5x+6

What is the value of x that is a relative max for this function?

6. Given LaTeX: fleft(xright)=-4x^3-2x^2+5x+6

What is the value of x that is a relative minimum for this function?

7. Given the following equation representing the relationship between distance (in meters) and time (in seconds) of a shiny black race car that is launched out of cannon.

LaTeX: distanceleft(tright)=-t^2+20t

What was the average speed of the car (in meters per second) if the race was 100 meters long?

Hint: If you figure out how long the race took to complete, you can figure out meters per second.

8. Given the following equation representing the relationship between distance (in meters) and time (in seconds) of a shiny black race car that is launched out of cannon.

LaTeX: distanceleft(tright)=-t^2+20t

How fast was the car going when the clock said exactly 2 seconds?

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