Question 1

Use your graphing calculator to graph the equation y =  
-  
- 36  
- 29.Zoom in on the graph to approximate the roots of the equation.Use Newton's method to verify your results.

Accepted Answer

The answer of Use your graphing calculator to graph the...

Question 2

If f(x)= ln  
,find  
  
.

Accepted Answer

The answer of If f(x)= ln  
,find  
...

Question 3

If f(x)=  
,find f''(x).

Accepted Answer

The answer of If f(x)=  
,find f''(x)....

Question 4

If f(x)= (2x -  
,find f'''(x).

Accepted Answer

The answer of If f(x)= (2x -  
,find f'''(x)....

Question 5

The altitude (in feet)of a rocket t seconds into flight is given by h = -  
+ 20  
+ 900t + 10,t ≥ 0.Use Newton's method to approximate when the rocket will hit the ground.

Accepted Answer

The answer of The altitude (in feet)of a rocket t...

Question 6

If the total profit (in dollars)from the sale of x radios is P(x)= 50x - 0.05  
- 700 + 5 ln(x),use Newton's method to approximate the break-even points for profit.(Note: There are 2 break-even points; one is between 10 and 50,and the other is between 900 and 1000.)

Accepted Answer

The answer of If the total profit (in dollars)from the...

Question 7

If f(x)= x(  
+ 9x + 3),find the rate of change of f'.

Accepted Answer

The answer of If f(x)= x(  
+ 9x +...

Question 8

If y =  
,find  
.

Accepted Answer

The answer of If y =  
,find  
....

Question 9

Use your graphing calculator to graph the equation y =  
+ 3  
+  
+  
+ x - 1.Zoom in on the graph to approximate the roots of the equation.Use Newton's method to verify your results.

Accepted Answer

The answer of Use your graphing calculator to graph the...

Question 10

If f(x)= 8  
- 6  
+ 7x - 2,find f'''(x).

Accepted Answer

The answer of If f(x)= 8  
- 6 ...

Question 11

Use your graphing calculator to graph the equation y =  
-  
+ x.Zoom in on the graph to approximate the roots of the equation.Use Newton's method to verify your results.

Accepted Answer

The answer of Use your graphing calculator to graph the...

Question 12

If f(x)=  
,find the rate of change of f'.

Accepted Answer

The answer of If f(x)=  
,find the rate of...

Question 13

Use your graphing calculator to graph the equation y = ln(  
)- 2  
+  
+ 11.Zoom in on the graph to approximate the roots of the equation.Use Newton's method to verify your results.

Accepted Answer

The answer of Use your graphing calculator to graph the...

Question 14

If f(x)=  
,find f''(x).

Accepted Answer

The answer of If f(x)=  
,find f''(x)....

Question 15

If f(x)=  
,find f''(x).

Accepted Answer

The answer of If f(x)=  
,find f''(x)....

Question 16

If y =  
,find  
.

Accepted Answer

The answer of If y =  
,find  
....

Question 17

If f(x)= 4  
+ 7  
- 5x - 3,find f'''(x).

Accepted Answer

The answer of If f(x)= 4  
+ 7 ...

Question 18

The altitude (in feet)of a rocket t seconds into flight is given by h = -2  
+ 114  
+ 480t + 1,t ≥ 0.Use Newton's method to approximate when the rocket will hit the ground.

Accepted Answer

The answer of The altitude (in feet)of a rocket t...

Question 19

The altitude (in feet)of a rocket t seconds into flight is given by h = -  
+ 80  
+ 750t + ln t + 200,t ≥ 0.Use Newton's method to approximate when the rocket will hit the ground.

Accepted Answer

The answer of The altitude (in feet)of a rocket t...

Question 20

If the total profit (in dollars)from the sale of x dishwashers is P(x)= 40x - 0.02  
- 1000 + 2 ln(x),use Newton's method to approximate the break-even points for profit.(Note: There are 2 break-even points; one is between 10 and 50,and the other is between 1900 and 2000.)

Accepted Answer

The answer of If the total profit (in dollars)from the...

Quiz 13: Additional Differentiation Topics

Use your graphing calculator to graph the equation y = - - 36 - 29.Zoom in on the graph to approximate the roots of the equation.Use Newton's method to verify your results.

If f(x)= ln ,find .

If f(x)= ,find f''(x).

If f(x)= (2x - ,find f'''(x).

The altitude (in feet)of a rocket t seconds into flight is given by h = - + 20 + 900t + 10,t ≥ 0.Use Newton's method to approximate when the rocket will hit the ground.

If the total profit (in dollars)from the sale of x radios is P(x)= 50x - 0.05 - 700 + 5 ln(x),use Newton's method to approximate the break-even points for profit.(Note: There are 2 break-even points; one is between 10 and 50,and the other is between 900 and 1000.)

If f(x)= x( + 9x + 3),find the rate of change of f'.

If y = ,find .

Use your graphing calculator to graph the equation y = + 3 + + + x - 1.Zoom in on the graph to approximate the roots of the equation.Use Newton's method to verify your results.

If f(x)= 8 - 6 + 7x - 2,find f'''(x).

Use your graphing calculator to graph the equation y = - + x.Zoom in on the graph to approximate the roots of the equation.Use Newton's method to verify your results.

If f(x)= ,find the rate of change of f'.

Use your graphing calculator to graph the equation y = ln( )- 2 + + 11.Zoom in on the graph to approximate the roots of the equation.Use Newton's method to verify your results.

If f(x)= ,find f''(x).

If f(x)= ,find f''(x).

If y = ,find .

If f(x)= 4 + 7 - 5x - 3,find f'''(x).

The altitude (in feet)of a rocket t seconds into flight is given by h = -2 + 114 + 480t + 1,t ≥ 0.Use Newton's method to approximate when the rocket will hit the ground.

The altitude (in feet)of a rocket t seconds into flight is given by h = - + 80 + 750t + ln t + 200,t ≥ 0.Use Newton's method to approximate when the rocket will hit the ground.

If the total profit (in dollars)from the sale of x dishwashers is P(x)= 40x - 0.02 - 1000 + 2 ln(x),use Newton's method to approximate the break-even points for profit.(Note: There are 2 break-even points; one is between 10 and 50,and the other is between 1900 and 2000.)