(i) The base of a block of metal is square with each side of length X(metres) and the height of the block is (X+3 metres). The volume V (m) of the block is given by V= (X)(X+3) as shown below: X+3 Determine the rate of change of volume with respect to length if x=3m (i) The voltage across a charging capacitive circuit is described by the following equation: V(t) = 10(1 - e 2) Determine the rate of change of V(t) att=2seconds. (iii) The instantaneous power associated with a cutting device is given by the following circular equation: P(t) = 20Sin(100 rt)Cos(100t) Determine the rate of change of P(t) at t=1second.

Delmar's Standard Textbook Of Electricity
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ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter20: Capacitance In Ac Circuits
Section: Chapter Questions
Problem 5PP: Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 -...
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(i)
The base of a block of metal is square with each side of length X(metres) and the height of
the block is (X+3 metres). The volume V (m³) of the block is given by V= (X)(X+3) as shown below:
X+3
Determine the rate of change of volume with respect to length if x=3m
(ii)
The voltage across a charging capacitive circuit is described by the following equation:
(t) = 10(1 - e 2)
Determine the rate of change of V(t) at t=2seconds.
(iii) The instantaneous power associated with a cutting device is given by the following circular
equation:
P(t) = 20Sin(100 rt)Cos(100Trt)
Determine the rate of change of P(t) at t=1second.
Transcribed Image Text:(i) The base of a block of metal is square with each side of length X(metres) and the height of the block is (X+3 metres). The volume V (m³) of the block is given by V= (X)(X+3) as shown below: X+3 Determine the rate of change of volume with respect to length if x=3m (ii) The voltage across a charging capacitive circuit is described by the following equation: (t) = 10(1 - e 2) Determine the rate of change of V(t) at t=2seconds. (iii) The instantaneous power associated with a cutting device is given by the following circular equation: P(t) = 20Sin(100 rt)Cos(100Trt) Determine the rate of change of P(t) at t=1second.
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