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Length of the hypotenuse , A right triangular prism has volume equal to 288...

A right triangular prism has volume equal to 288 cm^3. The height of the prism is 3 cm. One of the bases of the triangular face (not the hypotenuse) is equal to 12 cm, determine th

Calculus, I need help with my calculus

I need help with my calculus

Show that cos12+cos60+cos84=cos24+cos48 , L.H.S. =cos 12+cos 60+cos 84 =c...

L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12   R.H.S =c

Repeated eigenvalues, It is the last case that we require to take a look at...

It is the last case that we require to take a look at. During this section we are going to look at solutions to the system, x?' = A x? Here the eigenvalues are repeated eigen

Harmonic progression (h.p.), Three quantities a, b and c are said to ...

Three quantities a, b and c are said to be in harmonic progression if, In this case we observe that we have to consider three terms in o

Simplex method, max z=3x1+2x2 s.t x1+2x2 3x1+2x2>=6 x1+4x2 ...

max z=3x1+2x2 s.t x1+2x2 3x1+2x2>=6 x1+4x2 x1,x2,x3>=0

Determine principal strains and direction , A 100 by 150 mm rectangular pla...

A 100 by 150 mm rectangular plate is deformed as shown in the following figure. All dimensions shown in the figure are in millimeters.  Determine at point Q: (a) the strain compone

How many times must he mow across the width of the lawn, Allan has been hir...

Allan has been hired to mow the school soccer field that is 180 ft wide through 330 ft long. If his mower mows strips which are 2 feet huge, how many times must he mow across the w

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