dY vector function Y(t) =( 8) that satisfies r(t) y(t) AY dt -(:) 3 2 and Y(0) = ) where A = 0 3 (i) Find the solution of the initial-value problem y(t) (ii) Find lim if it exists t-00 r(t)

Q: 3. The value in pounds of a fund at time t = 0 is Vo= 50, 000. After one year (at t = 1) it has…

A: V0=50,000V1=51,500V2=50,800Withdrawn amount after 1 year=£1,500

Q: d. To simplify calculations, a student uses a tangent line approximation to P(t) at 1=0 as a model…

A: (d)

Q: Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C,…

A: Here we have to find distance between point S and A.

Q: 1. Consider the function f(x) = 7x3 – 8x + 4. Find the solution of the equation f(x) = 0, within…

A:

Q: 3.The population of birds in a region was measured to be 6300 birds in the year 2015, and 8700 birds…

A: 3. The population of birds in a region was measured to be 6300 birds in the year 2015,and 8700 birds…

Q: The population of a small town is growing at a constant rate. In 2007 the population was 15,400 and…

A: To write a linear model of the form f(t)=mt+b based on the data points (7, 15400) and (13, 22600),…

Q: Find the producers' surplus for the supply curve p = 0.02x + 7 at x = 100. O $800 O $100 O $200 O…

A: The producer surplus formula is given below.

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.