3. An astronaut on the Moon throws a baseball upward with an initial velocity of 12 meters per second letting go of the baseball 3 meters above the ground. The equation for the height of the baseball at time t is giver by h(t) = -0.8t² + 12t + 3. The same experiment is done on Earth, in which the height of the ball is modelec by the equation h(t) = -4.9t2 + 12t + 3. At what time does the baseball reach its greatest height on the Moon, with units? а. b. What is that height, with units? с. How much longer would the ball stay in the air on the Moon compared to the Earth?

Q: Suppose a 1000L tank contains 400 L of fresh water at time t = 0. At that time, a salt water…

A: The solution of above question is written below.

Q: 2. To the discrete population model for P with constant birth and death rates add a constant…

A:

Q: For what value of x will the curve y = x3 – 3x2 + 4 be concave upward?

A:

Q: An object is propelled straight up from ground level with an initial velocity of 80 feet per second.…

A: Given that,  s(t) = -16t2 + 80t We have to find t for which s(t)>64

Q: Present your work in a clean and formal way!.. 1. Solve the initial value problem and determine the…

A:

Q: 2x усха=<,ex + Czerx + зе + 3х. у сол=а, ў' сог=0

A:

Q: Q3) Use Euler's method to estimate y(0.02) ey-x 1+ e2y y(0) = 1 ( h=0.01) .What is the error in the…

A: Given ; h = 0.01 y(0) = 1

Q: A tank initially holds 245 liters of brine solution containing 25 Ibm (pound mass) of salt. At t =…

A: Initial amount in tank = 245 liters, in which 25lb Fresh water is poured into @ 7g/m. Well stirred…

Q: A large tank originally contains 1000 litres in which 5 kilograms of salt is dissolved. Pure water…

A:

Q: f the population of a certain county was 100,000 in 1998 and 110,517 in 2008 and the for- mula y 5…

A: Given, the population of a certain county was 100,000 in 1998 and 110,517 in 2008             and…

Q: 2. a) Use the Trapezoid Rule to estimate the value of: [V10-7e-03x dx. Letn=6. x |f (x) Round each f…

A: The equation for calculating the integral of a function y=f(x) by trapezoidal rule is; I=∫x0xny…

Q: Suppose that t years from now, one investment plan will be generating profit at the rate of…

A:

Q: A study shows that if the government implemented energy conservation measures in 2009, the country's…

A:

Q: Suppose we have two 1 metre long rods. Each rod has a temperature of 0° on its left end with the…

A:

Q: If a projectile is launched vertically upward from the ground with an initial velocity of 80ft per​…

A:

Q: Suppose that we need to find the solution of y" = y², y(a) = 0, y(b) = 2 by finite difference…

A: This question is about application of numbers theory

Q: • Consider the (nonlinear) initial value problem =-2y. y(0) = 9% • Does it have a solution for a) 36…

A:

Q: the semi-axes of the ellipse 4x^2 + 9y^2 = 36 are each increased by 0.15 cm, find the approximate…

A:

Q: Find the solution of the equation yy' = x ex-y with initial condition y (0) = 0. Is it possible that…

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: at

A:

Q: Find the Bolution to Hhe initial value problem - Please Write the folution with the computer.

A: Solution of Linear Differential Equation with Constant Coefficients: The general form of linear…

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given population of world in 2015  was 9.75 billionlet   for t=0 , we have year 2015

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given problem:- The population of the world in 2015 was 9.75 billion people and was growing at a…

Q: Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N =…

A:

Q: Choose the solution value of x'' + w2x = fsinwt with initial conditions x(0) = 0 and x'(0) = 0

A:

Q: A tank initially contains 400 gal of fresh water. At time t= 0, a brine solution with a…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflov are both 175 cubic…

A:

Q: Solve the initial value problem given by y' = (x − y)2 ,  y(0) = 0 What is the interval of…

A:

Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

A:

Q: 3) For an ideal gas, the pressure is related to temperature and volume by the formula 8.31T V . If…

A:

Q: 2. Suppose a ball is thrown downward with an initial velocity of 3.00 m/s, instead of being dropped.…

A:

Q: A manufacturer estimates that she can sell a maximum of 165 thousand cell phones in a city. By…

A:

Q: A body of an unknown temperature is placed in a room which is held at a constant temperature of 30 .…

A: Given that, A body of an unknown temperature is placed in a room which is held at a constant…

Q: Based on historical data for population growth rates and the initial number of eagles present in a…

A: Topic-basic maths

Q: What is the value of the coefficient d of the equation y = ax + bx² + cx + d so that it will have…

A:

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A:

Q: A bacteria culture starts with 960 bacteria and grows at a rate proportional to its size. After 4…

A: The exponential growth formula is given by: P(t)=P0 ekt...(1) where P0 is initial population, k is a…

Q: A manufacturer estimates that she can sell a maximum of 30 thousand cell phones in a city. By…

A:

Q: 2. It takes a car salesman 2.5 hours to drive from one city to another if he drives at a constant…

A: We know that , distance = velocity×Time

Q: Jesaki Inc will sellN units of product after spending $a thousand in advertising, as given by N = 73…

A:

Q: What is the initial condition at x = 0 of the solution plotted on graph c)?

A: From the given graph in part (c), it can be seen that the graph crosses x-axis when its x-value is 0…

Q: What is the initial condition at x = 0 of the solution plotted graph c)? on

A: From the given graph, it can be concluded that y = 1 at x = 0 (where graph crosses y-axis).

Q: 9. From 1975 to 2009, the age-adjusted incidence rate of invasive lung and bronchial cancer among…

A:

Q: Does the function y(t) = 2e -5t satisfy the following initial value problem? y'(t) – 5y(t) = 0, y(0)…

A: Given function yt=2e-5t. Given initial value problem y't-5yt=0, y0=2. The main objective is to tell…

Q: The estimated Philippine population is 90 million in 2010 and the estimated growth rate was  2.4 %…

A:

Q: which 20 grams of salt is dissolved. Pure water is being pumped into the tank at a rate of 5…

A:

Q: Find the Bolution to the initial value problem. | -y = 2€ %3D %3D

A: Given IVPy'''-y'=2e-t+9e2t  ; y(0)=0 ,  y'(0)=-1   , y"(0)=2 to find the the general solution use…

Q: Consider a poputation Piti satistying the extinction expiosion equation-ap - bP. where B= aPis the…

A: Given- Consider a population Pt satisfyinf the extinction explosion equation dPdt = aP2 - bP, where…

Q: When the price of a certain commpdity is p dollars per unit, the manufacturer is willing to supply x…

A: Given  5p2 - 2x2 = 27 where p is the price of a certain commodity in dollars per unit x is the…

Q: Total net shipments of aluminum (in billions of pounds) are approximated by g(x) = 16.2 + 2.86 In(x…

A: Given: The total net shipments of aluminum (in billions of pounds) are approximated by…

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.