F(1/n)=0 for all n€N then prove F'(0)= F"(0)=0

Two poles 20 and 28 feet high respectively are 30 feet away. It must be fastened with cables fixed at a single point, from the ground to the ends of the points. Where are the cables to be fixed so...

Floor joist are rectangular beams of wood used to support floors in buildings. The joists are cut from circular logs with a radius of 15 centimetres. The strength of a joist is proportional to the...

Calculate (y^(k))(0) for 0 is less than or equal to k which is less than or equal to 5, where y=5x^4+ax^3+bx^+cx+d (with a, b, c, d the constants)

The atmospheric CO2 level A(t) at Mauna Loa, Hawaii at time t (in parts per million by volume) is recorded by the Scripps Institution of Oceanography. The values for the months January-December...

A man on the 12th floor of a building sees a bucket (dropped by a window washer) pass his window and notes that it hits the ground 1.3 s later. Assuming a floor is 12 ft high (and neglecting air friction),...

I think the question is false. Knowing that a critical point MUST be a point where the derivative is 0 or undefined, then of it can be a local min/local max. Please correct me if im wrong

Good morning,   I hope somebody can help me.  I have the following problem regarding Reverse Convertible Notes. The , 4-month RCN has the following data:  S0 underlying:...