Ineed with parts 3, 6, and 7 you can ignore the graphing parts you!
a cart weighs 8 pounds is attached to the wall by a spring with spring constant k = 2 lb/ft. the cart is pulled 1 ft in the direction away from the wall, and released with the given initial velocity 2 ft/sec.
assuming there's no friction/air resistance (no dumping) , write down the ode
solve the ode and graph it in desmos
what are its natural frequency, period and amplitude?
case a: assuming friction/air resistance (dumping) exists and it's measured as 10 lb/ft proportional to the cart's speed.
write down ode
solve the ode and graph it in desmos
case b: assuming friction/air resistance (dumping) exists and it's measured as 8 lb/ft proportional to the cart's speed.
write down ode
solve the ode and graph it in desmos
case c: assuming friction/air resistance (dumping) exists and it's measured as 2 lb/ft proportional to the cart's speed.
write down ode
solve the ode and graph it in desmos
case d: back to the no dumping case, however a periodic external force latex: f\left(t\right)=2\: \sin\left(4t\right) f(t)=2sin⁡(4t)is applied to the cart
write down the ode
solve the ode

hreryryrranswer:

step-by-step explanation:

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.