The position of a particle according to the appropriate coordinate set can be vectorially specified in meters as r=i(sin2πt)- 16j(1-e^((-t)⁄4) )+kt^2/4 where t is the movement time of particle in seconds after passing its origin. If the mass of the particle is 2.1 kg, calculate the x component of its R force and the magnitude of its resultant force R at time t = 4s.

Two rigid transformations are used to map δhjk to δlmn. the first is a translation of vertex h to vertex l. what is the second transformation? a reflection across the line containing hk a rotation about point h a reflection across the line containing hj a rotation about point k

At the negative terminal of the battery the electron has electric potential energy. what happens to this energy as the electron jumps from the negative to the positive terminal?

The temperature in gavin's oven is a sinusoidal function of time. gavin sets his oven so that it has a maximum temperature of 280°f and a minimum temperature of 240°. once the temperature hits 280°, it takes 20 minutes before it is 280° again. gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 270°. he puts the cake into the oven when it is at 260° and rising. how long will gavin need to leave the cake in the oven? (round your answer to the nearest minute.)