Consider the eigenvalue problemφ′′(x) +λφ= 0. Determine the eigenvaluesλandthe corresponding eigenfunctionsφifφsatisfies the following boundary conditions. Consider all three casesλ= 0,λ >0 andλ <0 and assume that the eigenvalues are real.

An object thrown vertically upward from the surface of a celestial body at a velocity of 36 m/s reaches a height of sequalsminus0.9tsquaredplus36t meters in t seconds. a. determine the velocity v of the object after t seconds. b. when does the object reach its highest point? c. what is the height of the object at the highest point? d. when does the object strike the ground? e. with what velocity does the object strike the ground? f. on what intervals is the speed increasing?

Aphysical change is a change in the size, shape,, or stafe of matter true or false

Suppose a diode consists of a cylindrical cathode with a radius of 6.200×10^−2 cm , mounted coaxially within a cylindrical anode with a radius of 0.5580 cm . the potential difference between the anode and cathode is 260 v . an electron leaves the surface of the cathode with zero initial speed (v initial=0). find its speed vfinal when it strikes the anode.