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For any four vectors a^ vector, b ^ vector, C ^ vector and d ^ vector determine : (a^ vector × b^ vector)(c ^ vector × d ^ vector) + (b^ vector × c^ vector) (a^vector × d^vector) + (c^vector × a^ vector) ( b^vector × d^ vector).
Obtain a unit vector perpendicular to the plane of the vectors A^vector = 3i^cap - 4j^cap +2k^cap and B ^vector = i^cap + j ^ cap +3 k^ cap.
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
8, -14, and 3 + 9i
8, -14, and 3 + 9i
1/2 is a limit of the interval] - 2.5,1.5[, true or false
ind the number of integer solutions to the equation x1+x2+x3=40 where, 6<=x1>=15, 5<=x2>=20 and 10<=x3>=25
show that the Galois groups of x^4 -1 and x^2 - x +1 over Q are isomorphic
The differential equation of a damped vibrating system under the action of an external periodic force is: d^2x/dt^2 + 2m° dx/dx +n^2x = acts pt Show that, if n>m°>0 the complementary function of the differential equation represents vibrations which are soon damped out. Find the particular integral in terms of periodic functions.
Solve the DE : {(dy/dx - 1)^2)} ×{ (d^2y/dx^2+1)^2} ×y =, sin^2(x/2)+e^x+x.
Solve x×dy/dx +y ln y =x×y×e^x.
Find the charge on the capacitor in an RLC circuit at the =0.01sec. when L=0.05 Henry, R= 2 ohms, C=0.01 Farad.E(t)=0,q(0)=5 Columbus and i(0)=0.
