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An ant lives on the surface of a cube with edges of length 7cm. It is currently
located on an edge x
cm from one of its ends. While traveling on the surface of the cube,
it has to reach the grain located on the opposite edge (also a
t a distance xcm from one of its ends)
.
(i) What is the length of the shortest route to the grain if x = 2cm? How many routes of
this length are there?
(ii) Find an x for which there are four distinct shortest length routes to the grain.
located on an edge x
cm from one of its ends. While traveling on the surface of the cube,
it has to reach the grain located on the opposite edge (also a
t a distance xcm from one of its ends)
.
(i) What is the length of the shortest route to the grain if x = 2cm? How many routes of
this length are there?
(ii) Find an x for which there are four distinct shortest length routes to the grain.
Terry is buying juice. He needs 3 L. A half liter of juice cost $2.39. A 250 mL container of juice c Play needs 3 L. A half liter of juice cost $2.39. A 250 mL container of juice costs $1.69.What should Terry buy so he gets 3 Liters at the lowest price? Explain
The waveform of a voltage in an electrical circuit has the following parameters:
A continuous series of right-angled triangles, each with a base length equivalent to 3 ms, 9 V maximum
-Voltage ramps up over the 3 ms and then drops back to zero instantaneously
-Sketch the waveform and mark on the relevant parameters.
-Derive the function which defines the waveform.
-Using integral calculus, find the RMS value of the voltage.
The acceleration of a sliding component in a packaging machine is given by the following expression: (d^2 s)/(dt^2 ) =12t+3
A continuous series of right-angled triangles, each with a base length equivalent to 3 ms, 9 V maximum
-Voltage ramps up over the 3 ms and then drops back to zero instantaneously
-Sketch the waveform and mark on the relevant parameters.
-Derive the function which defines the waveform.
-Using integral calculus, find the RMS value of the voltage.
The acceleration of a sliding component in a packaging machine is given by the following expression: (d^2 s)/(dt^2 ) =12t+3
Obtain a solution of the wave equation
∂^2u(x,t)/∂t^2=16(∂^2u(x,t)/∂x^2)
for 0≤ x ≤ π and t > ,0 and the following boundary and initial conditions:
u(0,t)=u(π,t)=0,
u(x,0)=x(π-x) and ∂u(x,0)/∂t=0
∂^2u(x,t)/∂t^2=16(∂^2u(x,t)/∂x^2)
for 0≤ x ≤ π and t > ,0 and the following boundary and initial conditions:
u(0,t)=u(π,t)=0,
u(x,0)=x(π-x) and ∂u(x,0)/∂t=0
Reduce the following PDE to a set of three ODEs by the method of separation of
variables (1/r)(∂/∂r)(r(∂V/∂r)+(1/r^2)(∂^2V/∂θ^2)+(∂^2V/∂z^2)+(k^2)V=0
variables (1/r)(∂/∂r)(r(∂V/∂r)+(1/r^2)(∂^2V/∂θ^2)+(∂^2V/∂z^2)+(k^2)V=0
Reduce the following PDE to a set of three ODEs by the method of separation of
variables (1/r)(∂/∂r)(r(∂V/∂r)+(1/r^2)(∂^2V/∂θ^2)+(∂^2V/∂z^2)+(k^2)V=0
variables (1/r)(∂/∂r)(r(∂V/∂r)+(1/r^2)(∂^2V/∂θ^2)+(∂^2V/∂z^2)+(k^2)V=0
132t+120 what is the greatest common number for this problem.
Let Xi belongs to R such that 0<X1≤X2≤X3..........≤Xn, n≥2 And 1/1+X1+1/X2+......+1/1+Xn=1.Then show that __ __ __
. /X1+ /X2.....+/Xn ≥ (n-1)
__ __
{1//X1+....+1//Xn}
.
. /X1+ /X2.....+/Xn ≥ (n-1)
__ __
{1//X1+....+1//Xn}
.
Determine a unique polynomial f(x) of degree <=3 such that
f(x0)=1, f'(x0)=2, f(x1)=2, f'(x1)=3 where x1 - x0 =h
f(x0)=1, f'(x0)=2, f(x1)=2, f'(x1)=3 where x1 - x0 =h
Determine the spacing h in a table of equally spaced values for the function
f(x)= (2+x)^4, 1<=x<=2, so that the quadratic interpolation in this table satisfies |error| <=10^-6
f(x)= (2+x)^4, 1<=x<=2, so that the quadratic interpolation in this table satisfies |error| <=10^-6
