Monthly sales of a particular computer are expected to decline at a rate of d(t) = −25t 2/3 computers per month, where t is time in months. Currently, monthly sales are 2,000 computers. Determine monthly sales 8 months from now.

Q: 5. The number of new visits to a website is decreasing exponentially. It can be modeled by the…

A: Given function is : hd=21700.92d To find the average rate of change of h over the interval 2≤d≤4

Q: A firm uses simple exponential smoothing with trend adjustment to forecast demand, "a = 0.7" and…

A: Given that smoothing constants α=0.7 and β=0.6 FITt-1=413At-1=457Tt-1=21

Q: Pilar owns a parcel of land whose value tyears from now will be V (t) = 8000e" dollars. If the…

A: Given: Pilar owns a parcel of land whose value t years from now will be V(t) = 8000et dollars. The…

Q: if the population of Palestine is 6 million in 2020  with a growth rate of 3%/yr when it is expected…

A: Given: The population of Palestine is 6 million in 2020  with a growth rate of 3%/yr

Q: When a deposit of $1000 is made into an account paying 4% interest, compounded annually, the…

A: Given :   Formula for average rate of change :

Q: Approximate to four decimal places f(x)=ex when x=-2.7183

A: Given function is f(x) = ex  Given that x = -2.7183

Q: 5. The amount of pollution in the air is decreasing by 2.3% per week. (a) Approximately when will…

A: Let the current value of the pollution is= x     Given that the amount of pollution in the air is…

Q: The continuous rain causes the current of the water of the river to increase its rate. After each…

A: Initial current of the water = 12 km/hAfter every hour current increases by 2%.Current after 1 hour…

Q: What rate is required to grow 750 to 7500 in 14 years?

A:

Q: 11. A tree currently stands 7 feet tall. Its height is changing at a rate of t´ + 4 ft./year after t…

A:

Q: If the population of a country doubles in 90 years, in how many years will it treble under the…

A:

Q: 00 books in a library, growing at a cont - of books to triple from the current am decimal places if…

A:

Q: Suppose that the online retailer Amazon needs to use larger and larger cardboard boxes over time.…

A: It is given that, the volume increases by 80 cubic inches each year and  height increases by 0.5…

Q: The following function represents the amount of the radioactive material present at time t (in…

A: Decay simply means the disintegration(loss of mass) of any material. If the material is radioactive…

Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function,  V(t) = 500(0.82)t Where t is time in years

Q: If in the year 2000 there were 1.26 million metric tons of beef produced and demand is growing at a…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.