Pre Calc Final calculator part

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20 Terms

1

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<p><strong>A</strong></p><p class="dap_body">The ball begins at its maximum height of <span>15.240</span> meters. The height of the ball decreases until it reaches the ground <span>1.820</span> seconds after it leaves the window.</p><p><strong>B</strong></p><p class="dap_body">The ball begins at its maximum height of <span>15.240</span> meters. The height of the ball decreases until it reaches the ground <span>2.269</span> seconds after it leaves the window.</p><p><strong>C</strong></p><p class="dap_body">After leaving the window, the height of the ball increases to its maximum height of <span>16.228</span> meters. Then the height of the ball decreases until it reaches the ground <span>1.820</span> seconds after reaching its maximum height.</p><p><strong>D</strong></p><p class="dap_body">After leaving the window, the height of the ball increases to its maximum height of <span>16.228</span> meters. Then the height of the ball decreases until it reaches the ground <span>2.269</span> seconds after reaching its maximum height.</p>

A

The ball begins at its maximum height of 15.240 meters. The height of the ball decreases until it reaches the ground 1.820 seconds after it leaves the window.

B

The ball begins at its maximum height of 15.240 meters. The height of the ball decreases until it reaches the ground 2.269 seconds after it leaves the window.

C

After leaving the window, the height of the ball increases to its maximum height of 16.228 meters. Then the height of the ball decreases until it reaches the ground 1.820 seconds after reaching its maximum height.

D

After leaving the window, the height of the ball increases to its maximum height of 16.228 meters. Then the height of the ball decreases until it reaches the ground 2.269 seconds after reaching its maximum height.

C

After leaving the window, the height of the ball increases to its maximum height of 16.228 meters. Then the height of the ball decreases until it reaches the ground 1.820 seconds after reaching its maximum height.

2

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<p><strong>A</strong></p><p class="dap_body">For any interval of <span>x</span>, the function always has a positive rate of change.</p><p><strong>B</strong></p><p class="dap_body">For any interval of <span>x</span>, the function always has a negative rate of change.</p><p><strong>C</strong></p><p class="dap_body">For any interval of  <span>x<-1.5</span>, the function has a positive rate of change, and for any interval of <span>x>-1.5</span>, the function has a negative rate of change.</p><p><strong>D</strong></p><p class="dap_body">For any interval of  <span>x<-1.5</span>, the function has a negative rate of change, and for any interval of <span>x>-1.5</span>, the function has a positive rate of change.</p><p><br></p>

A

For any interval of x, the function always has a positive rate of change.

B

For any interval of x, the function always has a negative rate of change.

C

For any interval of x<-1.5, the function has a positive rate of change, and for any interval of x>-1.5, the function has a negative rate of change.

D

For any interval of x<-1.5, the function has a negative rate of change, and for any interval of x>-1.5, the function has a positive rate of change.

D

For any interval of x<-1.5, the function has a negative rate of change, and for any interval of x>-1.5, the function has a positive rate of change.

3

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<p><strong>A</strong></p><p class="dap_body"><span>x=-2.303</span> and <span>x=1.000</span> only</p><p><strong>B</strong></p><p class="dap_body"><span>x=-1.643</span> and <span>x=1.144</span> only</p><p><strong>C</strong></p><p class="dap_body"><span>x=-2.303</span>, <span>x=1.000</span>, and <span>x=1.303</span> only</p><p><strong>D</strong></p><p class="dap_body"><span>x=-2.303</span>, <span>x=-1.643</span>, <span>x=1.000</span>, <span>x=1.303</span>, and </p>

A

x=-2.303 and x=1.000 only

B

x=-1.643 and x=1.144 only

C

x=-2.303, x=1.000, and x=1.303 only

D

x=-2.303, x=-1.643, x=1.000, x=1.303, and

C

x=-2.303, x=1.000, and x=1.303 only

4

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<p><strong>A</strong></p><p class="dap_body">The contextual situation restricts the domain of <span>V</span> to <span>0<x<13.3</span>, and the relative maximum value of <span>V</span> on this domain is <span>2724.106</span>. This is because the longer side of the cardboard determines the domain restriction.</p><p><strong>B</strong></p><p class="dap_body">The contextual situation restricts the domain of <span>V</span> to <span>0<x<11.2</span>, and the relative maximum value of <span>V</span> on this domain is <span>1141.504</span>. This is because the shorter side of the cardboard determines the domain restriction.</p><p><strong>C</strong></p><p class="dap_body">The contextual situation restricts the domain of <span>V</span> to <span>0<x<6.65</span>, and the relative maximum value of <span>V</span> on this domain is <span>133.929</span>. This is because half of the longer side of the cardboard determines the domain restriction.</p><p><strong>D</strong></p><p class="dap_body">The contextual situation restricts the domain of <span>V</span> to <span>0<x<5.6</span>, and the relative maximum value of <span>V</span> on this domain is <span>133.929</span>. This is because half of the shorter side of the cardboard determines the domain restriction.</p>

A

The contextual situation restricts the domain of V to 0<x<13.3, and the relative maximum value of V on this domain is 2724.106. This is because the longer side of the cardboard determines the domain restriction.

B

The contextual situation restricts the domain of V to 0<x<11.2, and the relative maximum value of V on this domain is 1141.504. This is because the shorter side of the cardboard determines the domain restriction.

C

The contextual situation restricts the domain of V to 0<x<6.65, and the relative maximum value of V on this domain is 133.929. This is because half of the longer side of the cardboard determines the domain restriction.

D

The contextual situation restricts the domain of V to 0<x<5.6, and the relative maximum value of V on this domain is 133.929. This is because half of the shorter side of the cardboard determines the domain restriction.

D

The contextual situation restricts the domain of V to 0<x<5.6, and the relative maximum value of V on this domain is 133.929. This is because half of the shorter side of the cardboard determines the domain restriction.

5

New cards

A

St=-2.55t+114.157

B

St=-2.55t+5239.657

C

St=-8.099t+113.820

D

St= -0.369t+42.308

A

St= -2.55t+114.157

6

New cards

A

VP=11.458P

B

VP=1650P

C

VP=11.458 / P

D

VP= 1650 / P

D

VP= 1650 / P

7

New cards

A

-0.382

B

-0.306

C

0.375

D

5.625

A

-0.382

8

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<p><strong>A</strong></p><p class="dap_body">The terms could be part of a geometric sequence with a common ratio of <span>-2</span>.</p><p><strong>B</strong></p><p class="dap_body">The terms could be part of a geometric sequence with a common ratio of <span>-1/2</span>.</p><p><strong>C</strong></p><p class="dap_body">The terms could be part of a geometric sequence with a common ratio of <span>1/2</span>.</p><p><strong>D</strong></p><p class="dap_body">The terms are part of a sequence other than a geometric sequence because the common ratio of a geometric sequence must be positive.</p>

A

The terms could be part of a geometric sequence with a common ratio of -2.

B

The terms could be part of a geometric sequence with a common ratio of -1/2.

C

The terms could be part of a geometric sequence with a common ratio of 1/2.

D

The terms are part of a sequence other than a geometric sequence because the common ratio of a geometric sequence must be positive.

B

The terms could be part of a geometric sequence with a common ratio of -1/2.

9

New cards

A

The second term of the arithmetic sequence must be less than the second term of the geometric sequence.

B

The second term of the arithmetic sequence must be greater than the second term of the geometric sequence.

C

The second term of the arithmetic sequence must be the same value as the second term of the geometric sequence.

D

The relationship between the values of the second terms cannot be determined from the given information.

B

The second term of the arithmetic sequence must be greater than the second term of the geometric sequence.

10

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<p><strong>A</strong></p><p class="dap_body"><span>2</span></p><p><strong>B</strong></p><p class="dap_body"><span>7</span></p><p><strong>C</strong></p><p class="dap_body"><span>14</span></p><p><strong>D</strong></p><p class="dap_body">288</p>

A

2

B

7

C

14

D

288

C

14

11

New cards

A

5,267

B

15,187

C

42,159

D

1,972,745

C

42,159

12

New cards

A

0.230

B

0.259

C

0.863

D

1.259

A

0.230

13

New cards

A

3.996

B

4.983

C

9.966

D

19.932

D

19.932

14

New cards

<p><strong>A</strong></p><p class="dap_body">Because point <span>P</span> is above the <span>x</span>-axis, for the student with a height of <span>175</span> cm, the model overestimates the actual arm span value by <span>23.4</span> cm.</p><p><strong>B</strong></p><p class="dap_body">Because point <span>P</span> is above the <span>x</span>-axis, for the student with a height of <span>175</span> cm, the model underestimates the actual arm span value by <span>23.4</span> cm.</p><p><strong>C</strong></p><p class="dap_body">Because point <span>P</span> is above the <span>x</span>-axis, for the student with an arm span of <span>175</span> cm, the model overestimates the actual height value by <span>23.4</span> cm.</p><p><strong>D</strong></p><p class="dap_body">Because point <span>P</span> is above the <span>x</span>-axis, for the student with an arm span of <span>175</span> cm, the model underestimates the actual height value by <span>23.4</span> cm.</p>

A

Because point P is above the x-axis, for the student with a height of 175 cm, the model overestimates the actual arm span value by 23.4 cm.

B

Because point P is above the x-axis, for the student with a height of 175 cm, the model underestimates the actual arm span value by 23.4 cm.

C

Because point P is above the x-axis, for the student with an arm span of 175 cm, the model overestimates the actual height value by 23.4 cm.

D

Because point P is above the x-axis, for the student with an arm span of 175 cm, the model underestimates the actual height value by 23.4 cm.

B

Because point P is above the x-axis, for the student with a height of 175 cm, the model underestimates the actual arm span value by 23.4 cm.

<p><strong>B</strong></p><p class="dap_body">Because point P is above the x-axis, for the student with a height of 175 cm, the model underestimates the actual arm span value by 23.4 cm.</p>

15

New cards

<p><strong>A</strong></p><p class="dap_body">The residual plots for the linear and exponential regressions are without pattern,  and the residual plot for the quadratic regression shows a pattern. Therefore, the quadratic model is appropriate.</p><p><strong>B</strong></p><p class="dap_body">The residual plot for the quadratic regression is without pattern, and the residual plots for the linear and exponential regressions show patterns. Therefore, the linear and exponential models are appropriate.</p><p><strong>C</strong></p><p class="dap_body">The residual plots for the linear and exponential regressions are without pattern,  and the residual plot for the quadratic regression shows a pattern. Therefore, the linear and exponential models are appropriate.</p><p><strong>D</strong></p><p class="dap_body">The residual plot for the quadratic regression is without pattern, and the residual plots for the linear and exponential regressions show patterns. Therefore, the quadratic model is appropriate.</p>

A

The residual plots for the linear and exponential regressions are without pattern, and the residual plot for the quadratic regression shows a pattern. Therefore, the quadratic model is appropriate.

B

The residual plot for the quadratic regression is without pattern, and the residual plots for the linear and exponential regressions show patterns. Therefore, the linear and exponential models are appropriate.

C

The residual plots for the linear and exponential regressions are without pattern, and the residual plot for the quadratic regression shows a pattern. Therefore, the linear and exponential models are appropriate.

D

The residual plot for the quadratic regression is without pattern, and the residual plots for the linear and exponential regressions show patterns. Therefore, the quadratic model is appropriate.

D

The residual plot for the quadratic regression is without pattern, and the residual plots for the linear and exponential regressions show patterns. Therefore, the quadratic model is appropriate.