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Lessons In Industrial Instrumentation-16

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2994

APPENDIX A. FLIP-BOOK ANIMATIONS

Note how the height of the flow graph directly relates to the slope of the volume graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

+Max.

Q 0

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

2995

Note how the height of the flow graph directly relates to the slope of the volume graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

+Max.

Q 0

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

-Max.

2996

APPENDIX A. FLIP-BOOK ANIMATIONS

Note how the height of the flow graph directly relates to the slope of the volume graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

+Max.

Q 0

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

2997

Note how the height of the flow graph directly relates to the slope of the volume graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

+Max.

Q 0

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

-Max.

2998

APPENDIX A. FLIP-BOOK ANIMATIONS

Note how the height of the flow graph directly relates to the slope of the volume graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

+Max.

Q 0

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

2999

Note how the height of the flow graph directly relates to the slope of the volume graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

+Max.

Q 0

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

-Max.

3000

APPENDIX A. FLIP-BOOK ANIMATIONS

Note how the height of the flow graph directly relates to the slope of the volume graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

+Max.

Q 0

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

3001

Note how the height of the flow graph directly relates to the slope of the volume graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

+Max.

Q 0

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

-Max.

3002

APPENDIX A. FLIP-BOOK ANIMATIONS

Note how the height of the flow graph directly relates to the slope of the volume graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

+Max.

Q 0

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

-Max.

A.4. DIFFERENTIATION AND INTEGRATION ANIMATED

3003

Note how the height of the flow graph directly relates to the slope of the volume graph . . .

Max.

V

0

Flow rate (Q) is the derivative of volume with respect to time

Q =

dV dt

+Max.

Q 0

Differentiation

Integration

Volume (V) is the integral of flow rate with respect to time

V = ò Q dt

-Max.