Question #25139

consider a polynomial ax^4-bx^2+x+5. suppose of a(-3)^4 - b(-3) + 5= 2. what is the numerical value of a(3)^4 + b(3) + 5

Expert's answer

Suppose, the top of the light house is H metres high. The distance to the ship:

L = H/tan(alpha)

alpha - the angle of depression

The speed of the ship equals:

V = S/t = H( 1/tan(alpha1) - 1/tan(alpha2) ) /t

In our case,

alpha1= 30, alpha2 = 45

t = 10 minutes

V = H( Sqrt[3] - 1)/ t

the ship reach the light house after time:

T = S/V = H/ (tan(alpha2) *V ) = H/V

Therefore:

T = t / ( Sqrt[3] - 1) = 10/( ( Sqrt[3] - 1) min = 13.66 minutes

L = H/tan(alpha)

alpha - the angle of depression

The speed of the ship equals:

V = S/t = H( 1/tan(alpha1) - 1/tan(alpha2) ) /t

In our case,

alpha1= 30, alpha2 = 45

t = 10 minutes

V = H( Sqrt[3] - 1)/ t

the ship reach the light house after time:

T = S/V = H/ (tan(alpha2) *V ) = H/V

Therefore:

T = t / ( Sqrt[3] - 1) = 10/( ( Sqrt[3] - 1) min = 13.66 minutes

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