Question 1

Solve the equation $\frac { 20 } { 1 + 2 ^ { x } } = x$ Restrict your attention to the horizontal span of 0 to 5.

Accepted Answer

A)  4.89 
B)  3.14 
C)  2.69 
D)  4.17

Question 2

A rental car charges $68.15 for insurance and other fees plus a flat rate of $30.67 per day. Write a formula that gives the cost C , in dollars, of renting a car for  days.

Accepted Answer

A)  $C  = 30.67 t + 68.15$ 
B)  $C = 68.15 t + 30.67$ 
C)  $\mathrm { C }=68.15 + 30.67$ 
D)  $C = t ( 68.15 + 30.67 )$

Question 3

Solve the inequality $7 < 3.1 \times 1.6 ^ { x } < 28$ .

Accepted Answer

A)  $\quad 1.73 < x < 4.68$ 
B)  $\quad 3.35 < x < 7.99$ 
C)  $1.73 < x < 7.99$ 
D)  $3.35 < x < 4.68$

Question 4

$$\text { Which of the following is the graph of } e ^ { x } - 4.3 x ^ { 2 } \text { on a horizontal span of } 0 \text { to } 4.5 ?$$ '

Accepted Answer

A)  
B)  
C)  
D)

Question 5

What value of $x$ gives the minimum value of $( x - 4 ) e ^ { x } + 2 x ^ { 2 } - 12 x + 47.09 ?$ Consider only positive $x$ -values.

Accepted Answer

A)  $x = 9$ 
B)  $x = - 7$ 
C)  $x = 3$ 
D)  There is no solution.

Question 6

A rental car charges $53.75 for insurance and other fees plus a flat rate of $30.77 per day. Write a formula that gives the cost C , in dollars, of renting a car for  days.

Accepted Answer

A)  $C = 30.77 t + 53.75$ 
B)  $C = 53.75 t + 30.77$ 
C)  $C = 53.75 + 30.77$ 
D)  $C = t ( 53.75 + 30.77 )$

Question 7

The life expectancy E , in years, for a child born  years after 2000 is given by $E = 76.62 + 0.18 t$ . In what birth year would a child have a life expectancy of 77.34 years?

Accepted Answer

A)  2005 
B)  2004 
C)  2003 
D)  That life expectancy never occurs.

Question 8

What value of $x$ gives the minimum value of $( x - 8 ) e ^ { x } + 4 x ^ { 2 } - 56 x + 1301.63 ?$ Consider only positive $x$ -values.

Accepted Answer

A)  $x = 9$ 
B)  $x = 616$ 
C)  $x = 7$ 
D)  There is no solution.

Question 9

Solve the equation $3 e ^ { x } = 31$ . Restrict your attention to the horizontal span of 0 to 5.

Accepted Answer

A)  11.71 
B)  10.33 
C)  3.44 
D)  2.34

Question 10

Your pricing structure for canoe rentals encourages group rentals. The total price, in dollars, you charge for renting  canoes is $$C = N ( 70 - N )$$ What is the maximum charge for a group canoe rental?

Accepted Answer

A)  $1225 
B)  $70 
C)  $1228 
D)  $35

Question 11

Which of the following is the graph of $e ^ { x } - 4.4 x ^ { 2 }$ on a horizontal span of 0 to 4.5?

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 12

Find the maximum value of $x ^ { 4 } e ^ { - 15 x }$ . Restrict your attention to the horizontal span of 0 to

Accepted Answer

A)  2.67 
B)  0.93 
C)  4.14 
D)  4.28

Question 13

The life expectancy E , in years, for a child born  years after 2000 is given by $E = 76.62 + 0.18 t$ In what birth year would a child have a life expectancy of 78.78 years?

Accepted Answer

A)  2014 
B)  2012 
C)  2010 
D)  That life expectancy never occurs.

Question 14

Solve the equation $\frac { 20 } { 1 + 2 ^ { x } } = x$ Restrict your attention to the horizontal span of 0 to 5.

Accepted Answer

A)  4.66 
B)  3.14 
C)  2.69 
D)  4.66.

Question 15

Find the maximum value of $x ^ { 4 } e ^ { - 13 x }$ . Restrict your attention to the horizontal span of 0 to

Accepted Answer

A)  3.08 
B)  1.64 
C)  4.34 
D)  5.53

Question 16

Solve the inequality

Accepted Answer

A)  $\quad 0  3.77$ 
C)  $x > 5.1$ 
D)  $0 < x < 2.38$

Question 17

If a man jumps from an airplane with no parachute, his velocity after  seconds is given by $\overline { v ( t ) } = 179 \left( 1 - 0.83 ^ { t } \right)$ feet per second. Use a table of values to estimate the limiting value for his velocity.

Accepted Answer

A)  179 
B)  0.83 
C)  0 
D)  178.17

Question 18

You got a birthday gift of $42.62, which you choose to spend on music.You pay $12.49 for an iPad app that lets you download songs for $1.31 each. How many songs can you download before your
Birthday money is used up?

Accepted Answer

A)  26 songs 
B)  20 songs 
C)  23 songs 
D)  25 songs

Question 19

Solve the equation $3 e ^ { x } = 58$ Restrict your attention to the horizontal span of 0 to 5.

Accepted Answer

A)  20.61 
B)  19.33 
C)  4.36 
D)  2.96

Question 20

Solve the inequality $\sqrt { x } + \sqrt { x + 1 } > x + 1$

Accepted Answer

A)  $0  3.77$ 
C)  $x > 5.1$ 
D)  $0 < x < 2.38$

Exam 2: Graphical and Tabular Analysi

Solve the equation $\frac { 20 } { 1 + 2 ^ { x } } = x$ Restrict your attention to the horizontal span of 0 to 5.

Solve the inequality $7 < 3.1 \times 1.6 ^ { x } < 28$ .

$\text { Which of the following is the graph of } e ^ { x } - 4.3 x ^ { 2 } \text { on a horizontal span of } 0 \text { to } 4.5 ?$ '

What value of $x$ gives the minimum value of $( x - 4 ) e ^ { x } + 2 x ^ { 2 } - 12 x + 47.09 ?$ Consider only positive $x$ -values.

A rental car charges $53.75 for insurance and other fees plus a flat rate of $30.77 per day. Write a formula that gives the cost C , in dollars, of renting a car for days.

The life expectancy E , in years, for a child born years after 2000 is given by $E = 76.62 + 0.18 t$ . In what birth year would a child have a life expectancy of 77.34 years?

What value of $x$ gives the minimum value of $( x - 8 ) e ^ { x } + 4 x ^ { 2 } - 56 x + 1301.63 ?$ Consider only positive $x$ -values.

Solve the equation $3 e ^ { x } = 31$ . Restrict your attention to the horizontal span of 0 to 5.

Your pricing structure for canoe rentals encourages group rentals. The total price, in dollars, you charge for renting canoes is $C = N ( 70 - N )$ What is the maximum charge for a group canoe rental?

Which of the following is the graph of $e ^ { x } - 4.4 x ^ { 2 }$ on a horizontal span of 0 to 4.5?

Find the maximum value of $x ^ { 4 } e ^ { - 15 x }$ . Restrict your attention to the horizontal span of 0 to

The life expectancy E , in years, for a child born years after 2000 is given by $E = 76.62 + 0.18 t$ In what birth year would a child have a life expectancy of 78.78 years?

Solve the equation $\frac { 20 } { 1 + 2 ^ { x } } = x$ Restrict your attention to the horizontal span of 0 to 5.

Find the maximum value of $x ^ { 4 } e ^ { - 13 x }$ . Restrict your attention to the horizontal span of 0 to

Solve the inequality

You got a birthday gift of $42.62, which you choose to spend on music.You pay $12.49 for an iPad app that lets you download songs for $1.31 each. How many songs can you download before your Birthday money is used up?

Solve the equation $3 e ^ { x } = 58$ Restrict your attention to the horizontal span of 0 to 5.

Solve the inequality $\sqrt { x } + \sqrt { x + 1 } > x + 1$

Exam 2: Graphical and Tabular Analysi

Solve the equation 201+2x=x\frac { 20 } { 1 + 2 ^ { x } } = x1+2x20​=x Restrict your attention to the horizontal span of 0 to 5.

A rental car charges $68.15 for insurance and other fees plus a flat rate of $30.67 per day. Write a formula that gives the cost C , in dollars, of renting a car for days.

Solve the inequality 7<3.1×1.6x<287 < 3.1 \times 1.6 ^ { x } < 287<3.1×1.6x<28 .

Which of the following is the graph of ex−4.3x2 on a horizontal span of 0 to 4.5?\text { Which of the following is the graph of } e ^ { x } - 4.3 x ^ { 2 } \text { on a horizontal span of } 0 \text { to } 4.5 ? Which of the following is the graph of ex−4.3x2 on a horizontal span of 0 to 4.5? '

What value of xxx gives the minimum value of (x−4) ex+2x2−12x+47.09?( x - 4 ) e ^ { x } + 2 x ^ { 2 } - 12 x + 47.09 ?(x−4) ex+2x2−12x+47.09? Consider only positive xxx -values.

A rental car charges $53.75 for insurance and other fees plus a flat rate of $30.77 per day. Write a formula that gives the cost C , in dollars, of renting a car for days.

The life expectancy E , in years, for a child born years after 2000 is given by E=76.62+0.18tE = 76.62 + 0.18 tE=76.62+0.18t . In what birth year would a child have a life expectancy of 77.34 years?

What value of xxx gives the minimum value of (x−8) ex+4x2−56x+1301.63?( x - 8 ) e ^ { x } + 4 x ^ { 2 } - 56 x + 1301.63 ?(x−8) ex+4x2−56x+1301.63? Consider only positive xxx -values.

Solve the equation 3ex=313 e ^ { x } = 313ex=31 . Restrict your attention to the horizontal span of 0 to 5.

Your pricing structure for canoe rentals encourages group rentals. The total price, in dollars, you charge for renting canoes is C=N(70−N) C = N ( 70 - N ) C=N(70−N) What is the maximum charge for a group canoe rental?

Which of the following is the graph of ex−4.4x2e ^ { x } - 4.4 x ^ { 2 }ex−4.4x2 on a horizontal span of 0 to 4.5?

Find the maximum value of x4e−15xx ^ { 4 } e ^ { - 15 x }x4e−15x . Restrict your attention to the horizontal span of 0 to

The life expectancy E , in years, for a child born years after 2000 is given by E=76.62+0.18tE = 76.62 + 0.18 tE=76.62+0.18t In what birth year would a child have a life expectancy of 78.78 years?

Solve the equation 201+2x=x\frac { 20 } { 1 + 2 ^ { x } } = x1+2x20​=x Restrict your attention to the horizontal span of 0 to 5.

Find the maximum value of x4e−13xx ^ { 4 } e ^ { - 13 x }x4e−13x . Restrict your attention to the horizontal span of 0 to

Solve the inequality

If a man jumps from an airplane with no parachute, his velocity after seconds is given by v(t) ‾=179(1−0.83t) \overline { v ( t ) } = 179 \left( 1 - 0.83 ^ { t } \right) v(t) ​=179(1−0.83t) feet per second. Use a table of values to estimate the limiting value for his velocity.

You got a birthday gift of $42.62, which you choose to spend on music.You pay $12.49 for an iPad app that lets you download songs for $1.31 each. How many songs can you download before your Birthday money is used up?

Solve the equation 3ex=583 e ^ { x } = 583ex=58 Restrict your attention to the horizontal span of 0 to 5.

Solve the inequality x+x+1>x+1\sqrt { x } + \sqrt { x + 1 } > x + 1x​+x+1​>x+1

Solve the equation $\frac { 20 } { 1 + 2 ^ { x } } = x$ Restrict your attention to the horizontal span of 0 to 5.

Solve the inequality $7 < 3.1 \times 1.6 ^ { x } < 28$ .

$\text { Which of the following is the graph of } e ^ { x } - 4.3 x ^ { 2 } \text { on a horizontal span of } 0 \text { to } 4.5 ?$ '

What value of $x$ gives the minimum value of $( x - 4 ) e ^ { x } + 2 x ^ { 2 } - 12 x + 47.09 ?$ Consider only positive $x$ -values.

The life expectancy E , in years, for a child born years after 2000 is given by $E = 76.62 + 0.18 t$ . In what birth year would a child have a life expectancy of 77.34 years?

What value of $x$ gives the minimum value of $( x - 8 ) e ^ { x } + 4 x ^ { 2 } - 56 x + 1301.63 ?$ Consider only positive $x$ -values.

Solve the equation $3 e ^ { x } = 31$ . Restrict your attention to the horizontal span of 0 to 5.

Your pricing structure for canoe rentals encourages group rentals. The total price, in dollars, you charge for renting canoes is $C = N ( 70 - N )$ What is the maximum charge for a group canoe rental?

Which of the following is the graph of $e ^ { x } - 4.4 x ^ { 2 }$ on a horizontal span of 0 to 4.5?

Find the maximum value of $x ^ { 4 } e ^ { - 15 x }$ . Restrict your attention to the horizontal span of 0 to

The life expectancy E , in years, for a child born years after 2000 is given by $E = 76.62 + 0.18 t$ In what birth year would a child have a life expectancy of 78.78 years?

Solve the equation $\frac { 20 } { 1 + 2 ^ { x } } = x$ Restrict your attention to the horizontal span of 0 to 5.

Find the maximum value of $x ^ { 4 } e ^ { - 13 x }$ . Restrict your attention to the horizontal span of 0 to

Solve the equation $3 e ^ { x } = 58$ Restrict your attention to the horizontal span of 0 to 5.

Solve the inequality $\sqrt { x } + \sqrt { x + 1 } > x + 1$