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20b(4b3)3
Prove that if x is a rational number and y is an irrational number,then x+y is an irrational number. If in addition, x≠0, then show that xy is an irrational number.
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What is the general solution of the differential equation y ′ - 2 x y = x 3 ?
When a polynomial P(x) is idvided by 2x+1 the quotient is x 2 − x + 4 and the remainder is 3 find P(x)
Magnetic force in relation to velocityI'm misunderstanding something very important regarding magnetic force and its relation to velocity.According to the Lorentz force, the magnetic force F B = q v × B . Assuming the charge is not moving, then v = ( 0 0 0 ) . Therefore, F B = 0 So why when I hold a magnet close to a piece of metal, I can feel the magnet applying a force on the piece of metal? Since the piece of metal and the magnet are not moving, shouldn't the net magnetic force be 0? I assume the force I am feeling is from the magnetic field from the magnet and the charges in the piece of metal.
Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $12,000/day to operate, and it yields 50 oz of gold and 3000 oz of silver each of x day. The Horseshoe Mine costs $14,000/day to operate, and it yields 75 oz of gold and 1000 oz of silver each of y day. Company management has set a target of at least 650 oz of gold and 18,000 oz of silver. How many days should each mine be operated so that the target can be met at a minimum cost?(x,y):what is the minimum cost?
Solve the equation over the complex numbers. 5 x 2 − 6 x + 5 = 0
How does ∫ cos 4 x 1 − sin x d x simplify to − ∫ − ( 2 − u ) 3 2 u d u
4x2−x−23x−1 Use polynomial long division to perform the indicated division. Write the polynomial in the form p(x) = d(x)q(x) + r(x)
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