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Lessons In Industrial Instrumentation-16

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2984

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

2985

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.

2986

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

2987

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.

2988

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

2989

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.

2990

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

2991

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.

2992

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

2993

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.