Question 1

Solve the inequality

Accepted Answer

A) $0 3.77$ C) $x > 4.83$ D) $0 < x < 2.38$ A) $0 3.77$ C) $x > 4.83$ D) $0 < x < 2.38$

Question 2

Solve the equation Restrict your attention to the horizontal span of 0 to 5. $3 e ^ { x } = 68$

Accepted Answer

A)  1.37 
B)  1 
C)  0.18 
D)  2.99 
A)  1.37 
B)  1 
C)  0.18 
D)  2.99

Question 3

What is the minimum value of $y = ( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 231.41 ?$ Consider only positive $x$ -values.

Accepted Answer

A)  $y = 8$ 
B)  $y = - 19$ 
C)  $y = 5$ 
D)  There is no solution. 
A)  $y = 8$ 
B)  $y = - 19$ 
C)  $y = 5$ 
D)  There is no solution.

Question 4

Solve the equation $$3 e ^ { x } - 5 e ^ { - x } = 1$$ Restrict your attention to the horizontal span of 0 to 5.

Accepted Answer

A)  2.3 
B)  0.5 
C)  0.38 
D)  2.65 
A)  2.3 
B)  0.5 
C)  0.38 
D)  2.65

Question 5

Solve the equation $4 x ^ { 2 } + \sqrt { 2 x + 1 } = \sqrt { 2 x + 5000 } .$ Restrict your attention to the horizontal span of 0 to 5.

Accepted Answer

A)  6.19 
B)  4.11 
C)  4.2 
D)  5.51 
A)  6.19 
B)  4.11 
C)  4.2 
D)  5.51

Question 6

The long jump record L , in meters, for the   th Olympics after 1900 is given approximately by the formula $L = 0.14 n + 7.20$ .
When did the long jump record reach 8.88 meters?

Accepted Answer

A)  In the 12th Olympics after 1900 
B)  In the 11th Olympics after 1900 
C)  In the 15th Olympics after 1900 
D)  The record never reached 8.88 meters. 
A)  In the 12th Olympics after 1900 
B)  In the 11th Olympics after 1900 
C)  In the 15th Olympics after 1900 
D)  The record never reached 8.88 meters.

Question 7

Solve the inequality $10 < x ^ { 3 } - 1 < 26$ Restrict your attention to positive values of $x$ .

Accepted Answer

A)  $\quad 3.97 < x < 3$ 
B)  $2.22 < x < 3$ 
C)  $2.22 < x < 7.98$ 
D)  $\quad 3.97 < x < 7.98$ 
A)  $\quad 3.97 < x < 3$ 
B)  $2.22 < x < 3$ 
C)  $2.22 < x < 7.98$ 
D)  $\quad 3.97 < x < 7.98$

Question 8

You got a birthday gift of $43.8, which you choose to spend on music.You pay $12.6 for an iPad app that lets you download songs for $1.3 each. How many songs can you download before your birth-
Day money is used up?

Accepted Answer

A)  26 songs 
B)  21 songs 
C)  24 songs 
D)  26 songs. 
A)  26 songs 
B)  21 songs 
C)  24 songs 
D)  26 songs.

Question 9

What is the minimum value of $y = ( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 230.41 ?$ Consider only positive $x$ -values.

Accepted Answer

A)  $y = 7$ 
B)  $y = - 20$ 
C)  $y = 5$ 
D)  There is no solution. 
A)  $y = 7$ 
B)  $y = - 20$ 
C)  $y = 5$ 
D)  There is no solution.

Question 10

Find the maximum value of $x ^ { 4 } e ^ { - 19 x }$ . Restrict your attention to the horizontal span of 0 to

Accepted Answer

A)  2.11 
B)  0.36 
C)  4.05 
D)  3.78 
A)  2.11 
B)  0.36 
C)  4.05 
D)  3.78

Question 11

What is the minimum value of $4 x ^ { 3 } - 11 x + 9 ?$ Restrict your attention to the horizontal span of 0 to 11.

Accepted Answer

A)  2.47 
B)  1.98 
C)  0.96 
D)  5.19 
A)  2.47 
B)  1.98 
C)  0.96 
D)  5.19

Question 12

You got a birthday gift of $38.94, which you choose to spend on music.You pay $12.69 for an iPad app that lets you download songs for $1.25 each. How many songs can you download before your
Birthday money is used up?

Accepted Answer

A)  27 songs 
B)  18 songs 
C)  21 songs 
D)  23 songs 
A)  27 songs 
B)  18 songs 
C)  21 songs 
D)  23 songs

Question 13

Solve the equation $3 e ^ { x } = 35$ Restrict your attention to the horizontal span of 0 to 5.

Accepted Answer

A)  12.76 
B)  11.67 
C)  3.9 
D)  2.46 
A)  12.76 
B)  11.67 
C)  3.9 
D)  2.46

Question 14

If a man jumps from an airplane with no parachute, his velocity after   seconds is given by $v ( t ) = 173 \left( 1 - 0.83 ^ { t } \right)$ feet per second. Use a table of values to estimate the limiting value for his velocity.

Accepted Answer

A)  173 
B)  0.83 
C)  0 
D)  172.17 
A)  173 
B)  0.83 
C)  0 
D)  172.17

Question 15

Find the maximum value of $16 + 12 x - 7 x ^ { 2 }$ Restrict your attention to the horizontal span of 0 to 12.

Accepted Answer

A)  0.86 
B)  21.14 
C)  1.89 
D)  25.11 
A)  0.86 
B)  21.14 
C)  1.89 
D)  25.11

Question 16

What is the minimum value of $y = ( x - 8 ) e ^ { x } + 4 x ^ { 2 } - 56 x + 1294.63 ?$ Consider only positive $x$ -values.

Accepted Answer

A)  $y = 2$ 
B)  $y = 609$ 
C)  $y = 7$ 
D)  There is no solution. 
A)  $y = 2$ 
B)  $y = 609$ 
C)  $y = 7$ 
D)  There is no solution.

Question 17

Solve the equation $$16 x ^ { 2 } + \sqrt { 4 x + 1 } = \sqrt { 4 x + 5000 }$$ Restrict your attention to the horizontal span of 0 to 5.

Accepted Answer

A)  3.24 
B)  2.06 
C)  2.1 
D)  3.89 
A)  3.24 
B)  2.06 
C)  2.1 
D)  3.89

Question 18

What value of $x$ gives the minimum value of $( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 225.41 ?$ Consider only positive $x$ -values.

Accepted Answer

A)  $$x = 2$$ 
B)  $$x = - 25$$ 
C)  $x = 5$ 
D)  There is no solution. 
A)  $$x = 2$$ 
B)  $$x = - 25$$ 
C)  $x = 5$ 
D)  There is no solution.

Question 19

For which value of $x$ does $7 + 12 x - 6 x ^ { 2 }$ reach a maximum? Restrict your attention to the horizontal span of 0 to 12.

Accepted Answer

A)  2.7 
B)  13 
C)  1 
D)  16.93 
A)  2.7 
B)  13 
C)  1 
D)  16.93

Solve the inequality

Solve the equation Restrict your attention to the horizontal span of 0 to 5. $3 e ^ { x } = 68$

What is the minimum value of $y = ( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 231.41 ?$ Consider only positive $x$ -values.

Solve the equation $3 e ^ { x } - 5 e ^ { - x } = 1$ Restrict your attention to the horizontal span of 0 to 5.

Solve the equation $4 x ^ { 2 } + \sqrt { 2 x + 1 } = \sqrt { 2 x + 5000 } .$ Restrict your attention to the horizontal span of 0 to 5.

The long jump record L , in meters, for the th Olympics after 1900 is given approximately by the formula $L = 0.14 n + 7.20$ . When did the long jump record reach 8.88 meters?

Solve the inequality $10 < x ^ { 3 } - 1 < 26$ Restrict your attention to positive values of $x$ .

You got a birthday gift of $43.8, which you choose to spend on music.You pay $12.6 for an iPad app that lets you download songs for $1.3 each. How many songs can you download before your birth- Day money is used up?

What is the minimum value of $y = ( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 230.41 ?$ Consider only positive $x$ -values.

Find the maximum value of $x ^ { 4 } e ^ { - 19 x }$ . Restrict your attention to the horizontal span of 0 to

What is the minimum value of $4 x ^ { 3 } - 11 x + 9 ?$ Restrict your attention to the horizontal span of 0 to 11.

You got a birthday gift of $38.94, which you choose to spend on music.You pay $12.69 for an iPad app that lets you download songs for $1.25 each. How many songs can you download before your Birthday money is used up?

Solve the equation $3 e ^ { x } = 35$ Restrict your attention to the horizontal span of 0 to 5.

Find the maximum value of $16 + 12 x - 7 x ^ { 2 }$ Restrict your attention to the horizontal span of 0 to 12.

What is the minimum value of $y = ( x - 8 ) e ^ { x } + 4 x ^ { 2 } - 56 x + 1294.63 ?$ Consider only positive $x$ -values.

Solve the equation $16 x ^ { 2 } + \sqrt { 4 x + 1 } = \sqrt { 4 x + 5000 }$ Restrict your attention to the horizontal span of 0 to 5.

What value of $x$ gives the minimum value of $( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 225.41 ?$ Consider only positive $x$ -values.

For which value of $x$ does $7 + 12 x - 6 x ^ { 2 }$ reach a maximum? Restrict your attention to the horizontal span of 0 to 12.

Functions

Straight Lines and Linear Functions

Exponential Functions

Filters

Exam 2: Graphical and Tabular Analysi

Solve the inequality

Solve the equation Restrict your attention to the horizontal span of 0 to 5. 3ex=683 e ^ { x } = 683ex=68

What is the minimum value of y=(x−6)ex+3x2−30x+231.41?y = ( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 231.41 ?y=(x−6)ex+3x2−30x+231.41? Consider only positive xxx -values.

Solve the equation 3ex−5e−x=13 e ^ { x } - 5 e ^ { - x } = 13ex−5e−x=1 Restrict your attention to the horizontal span of 0 to 5.

Solve the equation 4x2+2x+1=2x+5000.4 x ^ { 2 } + \sqrt { 2 x + 1 } = \sqrt { 2 x + 5000 } .4x2+2x+1​=2x+5000​. Restrict your attention to the horizontal span of 0 to 5.

The long jump record L , in meters, for the th Olympics after 1900 is given approximately by the formula L=0.14n+7.20L = 0.14 n + 7.20L=0.14n+7.20 . When did the long jump record reach 8.88 meters?

Solve the inequality 10<x3−1<2610 < x ^ { 3 } - 1 < 2610<x3−1<26 Restrict your attention to positive values of xxx .

You got a birthday gift of $43.8, which you choose to spend on music.You pay $12.6 for an iPad app that lets you download songs for $1.3 each. How many songs can you download before your birth- Day money is used up?

What is the minimum value of y=(x−6)ex+3x2−30x+230.41?y = ( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 230.41 ?y=(x−6)ex+3x2−30x+230.41? Consider only positive xxx -values.

Find the maximum value of x4e−19xx ^ { 4 } e ^ { - 19 x }x4e−19x . Restrict your attention to the horizontal span of 0 to

What is the minimum value of 4x3−11x+9?4 x ^ { 3 } - 11 x + 9 ?4x3−11x+9? Restrict your attention to the horizontal span of 0 to 11.

You got a birthday gift of $38.94, which you choose to spend on music.You pay $12.69 for an iPad app that lets you download songs for $1.25 each. How many songs can you download before your Birthday money is used up?

Solve the equation 3ex=353 e ^ { x } = 353ex=35 Restrict your attention to the horizontal span of 0 to 5.

If a man jumps from an airplane with no parachute, his velocity after seconds is given by v(t)=173(1−0.83t)v ( t ) = 173 \left( 1 - 0.83 ^ { t } \right)v(t)=173(1−0.83t) feet per second. Use a table of values to estimate the limiting value for his velocity.

Find the maximum value of 16+12x−7x216 + 12 x - 7 x ^ { 2 }16+12x−7x2 Restrict your attention to the horizontal span of 0 to 12.

What is the minimum value of y=(x−8)ex+4x2−56x+1294.63?y = ( x - 8 ) e ^ { x } + 4 x ^ { 2 } - 56 x + 1294.63 ?y=(x−8)ex+4x2−56x+1294.63? Consider only positive xxx -values.

Solve the equation 16x2+4x+1=4x+500016 x ^ { 2 } + \sqrt { 4 x + 1 } = \sqrt { 4 x + 5000 }16x2+4x+1​=4x+5000​ Restrict your attention to the horizontal span of 0 to 5.

What value of xxx gives the minimum value of (x−6)ex+3x2−30x+225.41?( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 225.41 ?(x−6)ex+3x2−30x+225.41? Consider only positive xxx -values.

For which value of xxx does 7+12x−6x27 + 12 x - 6 x ^ { 2 }7+12x−6x2 reach a maximum? Restrict your attention to the horizontal span of 0 to 12.

Functions

Straight Lines and Linear Functions

Exponential Functions

Filters

Solve the equation Restrict your attention to the horizontal span of 0 to 5. $3 e ^ { x } = 68$

What is the minimum value of $y = ( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 231.41 ?$ Consider only positive $x$ -values.

Solve the equation $3 e ^ { x } - 5 e ^ { - x } = 1$ Restrict your attention to the horizontal span of 0 to 5.

Solve the equation $4 x ^ { 2 } + \sqrt { 2 x + 1 } = \sqrt { 2 x + 5000 } .$ Restrict your attention to the horizontal span of 0 to 5.

The long jump record L , in meters, for the th Olympics after 1900 is given approximately by the formula $L = 0.14 n + 7.20$ . When did the long jump record reach 8.88 meters?

Solve the inequality $10 < x ^ { 3 } - 1 < 26$ Restrict your attention to positive values of $x$ .

What is the minimum value of $y = ( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 230.41 ?$ Consider only positive $x$ -values.

Find the maximum value of $x ^ { 4 } e ^ { - 19 x }$ . Restrict your attention to the horizontal span of 0 to

What is the minimum value of $4 x ^ { 3 } - 11 x + 9 ?$ Restrict your attention to the horizontal span of 0 to 11.

Solve the equation $3 e ^ { x } = 35$ Restrict your attention to the horizontal span of 0 to 5.

Find the maximum value of $16 + 12 x - 7 x ^ { 2 }$ Restrict your attention to the horizontal span of 0 to 12.

What is the minimum value of $y = ( x - 8 ) e ^ { x } + 4 x ^ { 2 } - 56 x + 1294.63 ?$ Consider only positive $x$ -values.

Solve the equation $16 x ^ { 2 } + \sqrt { 4 x + 1 } = \sqrt { 4 x + 5000 }$ Restrict your attention to the horizontal span of 0 to 5.

What value of $x$ gives the minimum value of $( x - 6 ) e ^ { x } + 3 x ^ { 2 } - 30 x + 225.41 ?$ Consider only positive $x$ -values.

For which value of $x$ does $7 + 12 x - 6 x ^ { 2 }$ reach a maximum? Restrict your attention to the horizontal span of 0 to 12.