Difference between revisions of "8AF11Final"
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| − | Question 2. Find f(5) for f(x) given in problem 1. | + | [[8A_F11_Q2|Question 2]]. Find f(5) for f(x) given in problem 1. |
| − | Question 3 a) Find the vertex, standard graphing form, and X-intercept for <math>x = -3y^2-6y+2</math> | + | [[8A_F11_Q3|Question 3]] a) Find the vertex, standard graphing form, and X-intercept for <math>x = -3y^2-6y+2</math> |
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| − | Question 4. Provide your solution in interval notation. <math>(x-4)(2x+1)(x-1)<0</math> | + | [[8A_F11_Q4|Question 4]]. Provide your solution in interval notation. <math>(x-4)(2x+1)(x-1)<0</math> |
| − | Question 5. Graph the system of inequalities <math>y < \vert x\vert +1 </math> <math>x^2 + y^2 \le 9</math> | + | [[8A_F11_Q5|Question 5]]. Graph the system of inequalities <math>y < \vert x\vert +1 </math> <math>x^2 + y^2 \le 9</math> |
| − | Question 6. Sketch <math>4x^2 + 9(y+1)^2 =36</math>. Give coordinates of each of the 4 vertices of the graph. | + | [[8A_F11_Q6|Question 6]]. Sketch <math>4x^2 + 9(y+1)^2 =36</math>. Give coordinates of each of the 4 vertices of the graph. |
| − | Question 7. Solve <math>2\vert 3x-4\vert -7 = 7</math> | + | [[8A_F11_Q7|Question 7]]. Solve <math>2\vert 3x-4\vert -7 = 7</math> |
| − | Question 8. Given a sequence <math> 27, 23, 19, 15, \ldots </math> use formulae to compute <math>S_{10}</math> and <math>A_{15}</math>. | + | [[8A_F11_Q8|Question 8]]. Given a sequence <math> 27, 23, 19, 15, \ldots </math> use formulae to compute <math>S_{10}</math> and <math>A_{15}</math>. |
| − | Question 9 a) List all the possible rational zeros of the function <math>f(x) = x^4 + 5x^3 - 27x^2 +31x -10</math><br> | + | [[8A_F11_Q9|Question 9]] a) List all the possible rational zeros of the function <math>f(x) = x^4 + 5x^3 - 27x^2 +31x -10</math><br> |
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b) Find all the zeros, that is, solve f(x) = 0 | b) Find all the zeros, that is, solve f(x) = 0 | ||
| − | Question 10. Graph the function. Give equations of any asymptotes, and list any intercepts <math>y = \frac{x-1}{2x+2}</math> | + | [[8A_F11_Q10|Question 10]]. Graph the function. Give equations of any asymptotes, and list any intercepts <math>y = \frac{x-1}{2x+2}</math> |
| − | Question 11. Decompose into separate partial fractions <math>\frac{3x^2+6x+7}{(x+3)^2(x-1)}</math> | + | [[8A_F11_Q11|Question 11]]. Decompose into separate partial fractions <math>\frac{3x^2+6x+7}{(x+3)^2(x-1)}</math> |
| − | Question 12. Find and simplify the difference quotient <math>\frac{f(x+h)-f(x)}{h}</math> for f(x) = <math>\frac{2}{3x+1}</math> | + | [[8A_F11_Q12|Question 12]]. Find and simplify the difference quotient <math>\frac{f(x+h)-f(x)}{h}</math> for f(x) = <math>\frac{2}{3x+1}</math> |
| − | Question 13. Set up, but do not solve, the following word problem. <br>One evening 1500 concert tickets were sold for the Riverside Jazz Festival. Tickets cost $25 for a covered pavilion seat and $15 for a lawn seat. Total receipts were $28,500. How many of each type of ticket were sold? | + | [[8A_F11_Q13|Question 13]]. Set up, but do not solve, the following word problem. <br>One evening 1500 concert tickets were sold for the Riverside Jazz Festival. Tickets cost $25 for a covered pavilion seat and $15 for a lawn seat. Total receipts were $28,500. How many of each type of ticket were sold? |
| − | Question 14. Compute <math> \displaystyle{\sum_{n=1}^\infty 5\left(\frac{3}{5}\right)^n}</math> | + | [[8A_F11_Q14|Question 14]]. Compute <math> \displaystyle{\sum_{n=1}^\infty 5\left(\frac{3}{5}\right)^n}</math> |
| − | Question 15 a) Find the equation of the line passing through (3, -2) and (5, 6).<br> | + | [[8A_F11_Q15|Question 15]] a) Find the equation of the line passing through (3, -2) and (5, 6).<br> |
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b) Find the slope of any line perpendicular to your answer from a) | b) Find the slope of any line perpendicular to your answer from a) | ||
| − | Question 16. Solve. <math> \log_6(x+2)+\log_6(x-3) = 1 </math> | + | [[8A_F11_Q16|Question 16]]. Solve. <math> \log_6(x+2)+\log_6(x-3) = 1 </math> |
| − | Question 17. Compute the following trig ratios: a) <math> \sec \frac{3\pi}{4}</math> b) <math> \tan \frac{11\pi}{6}</math> c) <math>\sin(-120)</math> | + | [[8A_F11_Q17|Question 17]]. Compute the following trig ratios: a) <math> \sec \frac{3\pi}{4}</math> b) <math> \tan \frac{11\pi}{6}</math> c) <math>\sin(-120)</math> |
| − | Question 18. Compute <math>\cos(\arctan\frac{5}{3})</math> | + | [[8A_F11_Q18|Question 18]]. Compute <math>\cos(\arctan\frac{5}{3})</math> |
| − | Question 19 | + | [[8A_F11_Q19|Question 19]] Compute <math>\arcsin -\frac{\sqrt{3}}{2}</math>. Provide your answer in radians. |
Revision as of 19:49, 20 March 2015
Question 1. Find
Question 2. Find f(5) for f(x) given in problem 1.
Question 3 a) Find the vertex, standard graphing form, and X-intercept for
b) Sketch the graph. Provide the focus and directrix.
Question 4. Provide your solution in interval notation.
Question 5. Graph the system of inequalities
Question 6. Sketch . Give coordinates of each of the 4 vertices of the graph.
Question 7. Solve
Question 8. Given a sequence use formulae to compute and .
Question 9 a) List all the possible rational zeros of the function
b) Find all the zeros, that is, solve f(x) = 0
Question 10. Graph the function. Give equations of any asymptotes, and list any intercepts
Question 11. Decompose into separate partial fractions
Question 12. Find and simplify the difference quotient for f(x) =
Question 13. Set up, but do not solve, the following word problem.
One evening 1500 concert tickets were sold for the Riverside Jazz Festival. Tickets cost $25 for a covered pavilion seat and $15 for a lawn seat. Total receipts were $28,500. How many of each type of ticket were sold?
Question 14. Compute
Question 15 a) Find the equation of the line passing through (3, -2) and (5, 6).
b) Find the slope of any line perpendicular to your answer from a)
Question 16. Solve.
Question 17. Compute the following trig ratios: a) b) c)
Question 18. Compute
Question 19 Compute . Provide your answer in radians.
