Questions: Identify the graphs that have the property that the instantaneous velocity at time t=6 is less than or equal to the average velocity over [0,6]. Select ALL graphs that have the stated property. Graph A Graph C Graph B Graph D

Identify the graphs that have the property that the instantaneous velocity at time t=6 is less than or equal to the average velocity over [0,6]. Select ALL graphs that have the stated property. Graph A Graph C Graph B Graph D
Transcript text: Identify the graphs that have the property that the instantaneous velocity at time $t=6$ is less than or equal to the average velocity over $[0,6]$. Select ALL graphs that have the stated property. $\square$ Graph A Graph C Graph B Graph D
failed

Solution

failed
failed

Solution Steps

Step 1: Analyze Graph A

The instantaneous velocity at _t_ = 6 is the slope of the tangent line to the curve at _t_ = 6. In graph A, the tangent line at _t_ = 6 has a small negative slope. The average velocity over [0, 6] is the slope of the secant line connecting the points at _t_ = 0 and _t_ = 6. This slope is clearly positive. Therefore, the instantaneous velocity at _t_ = 6 is less than the average velocity over [0, 6].

Step 2: Analyze Graph B

The graph is a straight line, which means the instantaneous velocity at any point is equal to the average velocity over any interval. So, the instantaneous velocity at _t_ = 6 is equal to the average velocity over [0, 6].

Step 3: Analyze Graph C

The instantaneous velocity at _t_ = 6 is positive and quite large (steep slope). The average velocity on [0, 6] is also positive, but significantly smaller. Hence, the instantaneous velocity at _t_ = 6 is greater than the average velocity.

Step 4: Analyze Graph D

The instantaneous velocity at _t_ = 6 is positive and large. The average velocity over the interval [0,6] is also positive. It appears that the instantaneous velocity at t=6 is greater than the average velocity over the interval [0,6].

Final Answer: The graphs that satisfy the condition are A and B.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Pregunta 7 10 puntos Si el precio sombra de una restricción es positivo y la función objetivo está relacionada con la minimización de costos, se puede decir, qué el aumento permisible del recurso de dicha restricción aumentará el costo final. (A) Verdadero (B) Falso Borrar selección
failedAnswered
What are the ceiling and visibility conditions for LIFR (Low IFR Flight)? A. Ceiling less than 500 feet and/or visibility less than 1 mile B. Ceiling 500 to less than 1000 feet and/or visibility 1 to less than 3 miles C. Ceiling 1000 to 3000 feet and/or visibility 3 to 5 miles inclusive D. Ceiling greater than 3000 feet and visibility greater than 5 miles, inclusive sky clear
failedAnswered
Solve: 1/(x-1)-1/(x-3)=1/(x^2-4x+3) x=
failedAnswered
How many atoms of hydrogen (H) are present in 200 molecules of ammonia (NH3)? Express your answer numerically.
failedAnswered
A company issued 7%, 5-year bonds with a par value of 100,000. The market rate when the bonds were issued was 7.5%. The company received 97,948 cash for the bonds. Using the effective interest method, compute the amount of interest expense for the second semiannual interest period (round to 2 decimals). Multiple Choice 3,679.54. 7,346.03 7,000.00 3,500.00 3,673.01.