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Exponential Growth
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If birth rate Ub and death rate Ud of number of bacteria are proportional to number of bacteria present than growth rate A' of bacteria will be
A'=Ub-Ud
A'=Ub+Ud
A'=Ub/Ud
A'=UbUd
Simplest form of chain rule is for real-valued functions of one
constant
string
real variable
Complex variable
Integral curves for an electric field or magnetic field are known as
trajectories
orbits
electrical lines
field lines
Integral curves for an electric field or magnetic field are known as
field lines
electrical lines
orbits
trajectories
If A' growth rate of number of bacteria at any time t is proportional to number present at any time t and doubles in 1 week than bacteria after two week is
16A(t)
0.099A(t)
24A(t)
4A(t)
Highest degree of polynomials with non-zero coefficients is
Radian
steradian
revolution
degree
Highest degree of polynomials with non-zero coefficients is
revolution
degree
steradian
Radian
In ∂/∂x (u/v), where u and v are constant, is equals to
( v ∂⁄∂x-u ∂⁄∂x) ⁄ v2
(u/v)∂/∂x
( v ∂u⁄ ∂x-u ∂⁄∂x) ⁄ v2
( v ∂u⁄∂x-u ∂v⁄∂x) ⁄ v2
System in which output characteristics depend explicitly upon time is known as
Constant system
Non-linear system
Time-invariant system
Time-variant system
Ä=-32 notation of derivatives is called
Newton's cross notation
Prime notation
Leibniz notation
Subscript notation
Ä=-32 notation of derivatives is called
Newton's cross notation
Prime notation
Subscript notation
Leibniz notation
A tank contains 400 gal of brine in which 100lb salt is disolved where fresh water runs into tank at rate of 2 gal/min, if C is salt concenteration, A is amount of salt and V is volume of tank than
C=A/V
C=A+V
C=AV
C=V/A
In ∂⁄∂x(u/v), where u and v are variables, is equals to
(u/v)∂⁄∂x
(v∂u⁄∂x-u∂⁄∂x)⁄ v2
(v∂⁄∂x-u∂⁄∂x) ⁄ v2
(v∂u⁄∂x-u∂v⁄∂x) ⁄ v2
A relation between a set of inputs and a set of permissible outputs with property that each input is related to exactly one output is
function
Variable
equation
math equation
In ∂⁄∂x(uv), where u and v are variables, is equals to
uv ∂⁄∂x+∂u⁄∂x(uv)
u∂v⁄∂x+v∂u⁄∂x
uv∂⁄∂x
u∂u⁄∂x+v∂v⁄∂x
A function y=h(x) of a given ODE on some open interval a
solution
separation
Scalar
summation
If A' growth rate of number of bacteria at any time t is proportional to number present at any time t and doubles in 1 week than bacteria after one week is
0.099A(t)
16A(t)
24A(t)
4A(t)
A mathematical function of one or more variables whose range is a set of multidimensional vectors or infinite-dimensional vectors is called
termed-value function
vector-valued function
scalar-valued function
directional-valued function
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Related Topics
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