Question

AP CALCULUS Phrases for Rates of Change Match each phrase in the first column of the table with the corresponding term or set of units in the second column. Each letter will be used only once. Indicate your answers in the Answer Table that follows. 1. instantaneous rate of change of position 2. possible units for acceleration 3. units for instantaneous rate of change of volume, V(t), where V is measured in gallons and t is measured in hours 4. possible units for position 5. instantaneous rate of change of velocity 6. possible units for velocity 7. units for instantaneous rate of change of R(t), R is measured in gallons per hour and t is measured in hours A. velocity B. acceleration C. gallons per hour per hour D. meters E. meters per second F. meters per second per second G. gallons per hour Answer Table: 1 | 2 | 3 | 4 | 5 | 6 | 7

          AP CALCULUS
Phrases for Rates of Change
Match each phrase in the first column of the table with the corresponding term or set of units in the second column. Each letter will be used only once. Indicate your answers in the Answer Table that follows.

1. instantaneous rate of change of position
2. possible units for acceleration
3. units for instantaneous rate of change of volume, V(t), where V is measured in gallons and t is measured in hours
4. possible units for position
5. instantaneous rate of change of velocity
6. possible units for velocity
7. units for instantaneous rate of change of R(t), R is measured in gallons per hour and t is measured in hours

A. velocity
B. acceleration
C. gallons per hour per hour
D. meters
E. meters per second
F. meters per second per second
G. gallons per hour

Answer Table:
1 | 2 | 3 | 4 | 5 | 6 | 7

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AP CALCULUS
Phrases for Rates of Change
Match each phrase in the first column of the table with the corresponding term or set of units in the second column. Each letter will be used only once. Indicate your answers in the Answer Table that follows.

1. instantaneous rate of change of position
2. possible units for acceleration
3. units for instantaneous rate of change of volume, V(t), where V is measured in gallons and t is measured in hours
4. possible units for position
5. instantaneous rate of change of velocity
6. possible units for velocity
7. units for instantaneous rate of change of R(t), R is measured in gallons per hour and t is measured in hours

A. velocity
B. acceleration
C. gallons per hour per hour
D. meters
E. meters per second
F. meters per second per second
G. gallons per hour

Answer Table:
1 | 2 | 3 | 4 | 5 | 6 | 7

Added by Jacob V.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Eduard Sanchez

01/05/2023

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Step 1: To find the instantaneous rate of change of velocity, we need to first find the position. Show more…

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Phrases for Rates of Change Match each phrase in the first column of the table with the corresponding term or set of units in the second column. Each letter will be used only once. Indicate your answers in the Answer Table that follows. 1. instantaneous rate of change of position 2. possible units for acceleration 3. units for instantaneous rate of change of volume, V(t), where V is measured in gallons and t is measured in hours 4. possible units for position 5. instantaneous rate of change of velocity 6. possible units for velocity 7. units for instantaneous rate of change of R(t), R is measured in gallons per hour and t is measured in hours A. velocity B. acceleration C. gallons per hour per hour D. meters E. meters per second F. meters per second per second G. gallons per hour Answer Table:

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Transcript

00:01 Hi there, so for this problem, we are told to match each phrase in the first column of the table with the corresponding term or set of units in the second column.

00:14 Each letter will be used only once.

00:17 Okay, so first, the first phrase is that the instantaneous rate of change of position.

00:25 Now we know that the instantaneous rate of change of position, corresponds to velocity.

00:33 So, 1 corresponds to a.

00:38 Now, the second one, we're told that possible units for acceleration.

00:49 Now, the possible units of acceleration will be in meters per second square or meters per second per second.

00:58 So 2 corresponds to the option f, because the option f is meters per second per second.

01:06 Now, the third phrase in here tells us about the units for instantaneous rate of change of volume, where the volume is measuring gallons and the time is measuring seconds.

01:23 So we need to find 40 units of this.

01:26 So as you can see, this will corresponds to the option c from the ones that we are given because option c is gallons per hour per hour.

01:41 Oh, let me verify this.

01:44 Oh, no.

01:45 I think...

01:46 Okay, it is units for instantaneous rate of change of volume.

01:51 Okay, so this is not the correct answer.

01:54 The current answer is option g.

01:57 Okay, so we go from 3 to g...

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