A) similar to what you see in your textbook, you can generally omit the multiplication symbol as you answer questions online, except when the symbol is needed to make your meaning clear. for example, 1⋅105 is not the same as 1105. when you need to be explicit, type * (shift + 8) to insert the multiplication operator. you will see a multiplication dot (⋅) appear in the answer box. do not use the symbol ×. for example, for the expression ma, typing m ⋅ a would be correct, but mxawould be incorrect.

ma=

b) enter the expression 2cos2(θ)−1, where θ is the lowercase greek letter theta.

2cos2(θ)−1 =

c) enter the expression asin(x)+15, where asin(x) is the inverse sine function.

asin(x)+15 =

d) enter the expression (√(2gδy)/m), where δ is the uppercase greek letter delta.

(√2gδy/m)=

e) enter the expression n0e−λt, where n0 is n-naught (an n with a subscript zero) and λ is the lowercase greek letter lambda.

n0e−λt=

The bubba chump shrimp company processes and packages shrimp for sale to wholesale seafood distributors. the shrimp are transported to the main plant by trucks that carry 1,000 pounds (lb) of shrimp. once the continuous flow processing of the shrimp begins, no inventory is allowed in buffers due to spoilage and all of the shrimp must be processed within 12 hours to prevent spoilage. the processing begins at the sorter, where the trucks dump the shrimp onto a conveyor belt that feeds into the sorter, which can sort up to 500 lb per hour. the shrimp then proceed to the desheller, which can process shrimp at the rate of 400 lb per hour. however, after 3 hours and 45 minutes of processing, the desheller must be stopped for 15 minutes to clean out empty shrimp shells that have accumulated. the veins of the shrimp are then removed in the deveining area at a maximum rate of 360 lb per hour. the shrimp proceed to the washing area, where they are processed at 750 lb per hour. finally, the shrimp are packaged and frozen. what is the daily process capacity of the processing plant (excluding the packaging and freezing)?

The total amount of energy contained in an object

The dipole moment of the water molecule (h2o) is 6.17x10^-30 c.m. consider a water molecule located at the origin whose dipole moment p points in the +x-direction. a chlorine ion ( of charge-1.60x10^-19c , is located at x=3.00x10^-9m . assume that is much larger than the separation d between the charges in the dipole, so that the approximate expression for the electric field along the dipole axis can be used. a) find the magnitude of the electric force that the water molecule exerts on the chlorine ion. b) what is the direction of the electric force. -x-direction or +x-direction c) is this force attractive or repulsive?