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Lessons In Industrial Instrumentation-16

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3004

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

3005

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.

3006

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

3007

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.

3008

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

3009

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.

3010

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

3011

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.

3012

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

3013

Note how the height increase of the volume graph directly relates to the area accumulated by the flow 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.