Two balls are thrown simultaneously from the same initial height. For the first ball, the height of a ball in the air off the ground in meters, t seconds after it is thrown, is given by the equation s(t) = -4.9t2 + 12t + 10 For the second ball, its height in the air off the ground in meters, t seconds after it is thrown, is given by the equation s(t) = -4.9t² + 9t + 10 Which ball travels the highest in the air? Show your work.

Q: Use undetermined coefficients to find the particular solution to y'' – 3y' + y = 4t2 + 6t + 5

A:

Q: Solve for x if (3a-2x)/(a²+a-6) = 2/(a+3) + 1/(a-2). а. 1 b. 0.5 C. -0.5 d. -1

A:

Q: 2.3 - Can you show the steps to solving this problem? Differentiate. (33) y = (t^3 + 3t)/(t^2 - 4t…

A: Please see the white board for the quotient rule of differentiation. In this case f(x) = f(t) =  t3…

Q: Solve for y 1y -8 > -6

A: We have to solve  1y - 8 > - 6 Then ,  y - 8 > - 6

Q: solve y(4)-3y'''+2y''=e3x  using undetermined coefficient

A:

Q: 1. The paths of two dolphins playing in the ocean were recorded by some biologists. The first…

A: The equation that describes the paths of the dolphins are provided. We need to determine the…

Q: What is the particular solution of the equation 2ydx - 3xdy = 0 when y=1 and x=1?

A: Solving the differential equation by seperation of variables.

Q: 5olve The simultaneaus.equation 22 tiw - 2 2+ (1ti)w =3;

A: Given :                    2z + i ω = 2 .................(1)2 + (1+i)ω = 3i ..............(2)then we…

Q: The manufacturing of a new smart dog collar costs y=0.25x + 4800 and the revenue from sales of the…

A:

Q: Find the general solution by undetermined coefficients.  y'' + y = 2x2e-x.

A:

Q: Show that the equations xp- 4yq=0 and (32 +2z +1)(p+q)=x'(x+4y) compatible and solve them.

A: 1. Two partial differential equations of first order are said to be compatible if they have a common…

Q: The brochure for the coaster says that, for the first 10 seconds of the ride, the height of the…

A: Given, h(t)=0.3t^3 - 5t^2  + 21t t = Time in seconds h = Height in feet

Q: Find the solution to the equation 4x2 + 5x = 2x + 2 -3± y38 -7± y17 8 X = X = 8 а. -3± V41 X = 8. С.…

A:

Q: find the general solution : 6- y' +4y = 4 sec 2x

A:

Q: 1. The paths of two dolphins playing in the ocean were recorded by some biologists. The first…

A:

Q: Find the extraneous solution for the equation. x = v20 + 8x O-10 5 O 10 O-2

A:

Q: What is the general solution of the equation y '(t) = 3y - 12?

A: We first separate the variables

Q: The concentration of a drug in the bloodstream C(t) at any time t, and hours, is described by the…

A: The concentration of drug reaches its maximum when                         C'(t) = 0find the values…

Q: [1] Solve for the GS of (D4-5D³+9D²-7D+2)y=0

A: By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: Q9: solve x + 2z = 6 -3x + 4y + 6z = 30 -x - y + 3z = 8

A:

Q: The height of an object tossed upward with an initial velocity of 120 feet per second is given by…

A: Given Data: The initial velocity of the object is: dhdtt=0=120 ft/s The formula for the height of…

Q: 2. Solve for x: (a) -3.x* +2=0 4x3 +5x3 – 6=0 4x +5x -6=0 (d)

A:

Q: Solve the following equation using implicit differentation.  x4 +4x3y2 - y4 = 1

A:

Q: Solve for the general solution of (D: - 5D + 6)y = 4e* using method of undetermined coefficients.

A:

Q: Solve the initial value problem (t2 – 5)x' – 2tx = -2t(t² – 5), x(2) = 7.

A: Given differential equation is t2−5x'−2tx=−2tt2−5......1 and x2=7. We have to find the solution of…

Q: A sample of 300g of lead-210 decays to polonium-210 and is described by the equation y=300e^-0.032t,…

A: Solution:

Q: v2,

A: We use Pythagoras theorem

Q: 4y = 2x +3

A:

Q: 4. Solve for the general solution of --y = x²y? a. y-1 = Ce* - 12e* b. y-1 = Cex - 10e2x c. y-1 =…

A: Given that, The differential equation is following, dydx-2xy=x2y2 We have to find the general…

Q: Determine the general solution: y' = x - 2y. *

A:

Q: A popular three-story dollhouse has a price-demand equation given by p=D(x)=207-0.8x and the…

A: The demand equation is: p=207-0.8x The supply equation is: p=0.2x+132

Q: It takes Jose 36 minutes to mow the lawn while it takes Miguel 45 minutes to mow the same lawn. If…

A:

Q: Q4- Solve y"- 4y' + 13y 3x.e*

A: Topic:- differential equations

Q: Solve for t. 4 - 1 - 1 =D4 - 3 -3

A:

Q: The height of an object tossed upward with an initial velocity of 80 feet per second is given by the…

A: Given, The height of an object tossed upward with an initial velocity of 80 feet per second is given…

Q: 16 Solve the equation for for y 3rex 1 r2 x - 0

A: 3xex+x2ex=0

Q: Solve the equation 2x² – 3y² = 6 for y. Is y a func- tion of x?

A: Given equation is 2x2-3y2=6. To solve for y and  to determine whether y is function of x. Solution:…

Q: Find the general solution and particular solution (2X-リ メ

A: Given:     2x-1y''-4xy'+4y=2x-1x2

Q: Solve for y -5y+15=-7(y -5)

A: Given the equation

Q: he equation for free fall at the surface of some planet (s in meters, t in seconds) is s=7.31t^2.…

A: Explanation: According to the give question- Differentiate the given equation with respect to t We…

Q: b. Solve y = -x³ + x² + x- 3 and y = x-3 using Substitution Method. I

A:

Q: A doctor prescribes a 200 mg antibiotic tablet to be taken every eight hours. It is known that the…

A: Given that      A doctor prescribes a 200mg antibiotic tablet to be taken every eight hours. It is…

Q: a. Solve: 5t -4= 0, t = b. Solve: 5t- 4 = 6, t = c. Add: (5t - 4) + (6t + 14)

A: We are solving the first three subparts and for the next subparts post the question again and…

Q: Find the solution of y' = 2(2x-y) which passes through the point (0, -1) the answer should be y=2x-1

A:

Q: Solve the Equaiton for y. 10/4y + 8/2 = 2y - 2

A: Given,

Q: SOLVE 2xyy' = 1 + y² w/ x = 2 and y = 3

A: Solve 2xyy'=1+y2 where x=2 , y=3   dydx=12xy+y22xy       = 12xy+y2xdydx-y2x=12xy-1

Q: solve for y. 9e2y = x2

A: Our Aim is to solve the given equation below:-9e2y=x2 -(i)

Q: Find the value of k if x = 2 , y = 1 is a solution of the equation 2x+3y=K

A:

Q: d) Verify if y = 2e* + x - 1, solves y' = x - y

A: If y=2e-x+x-1, solves y'=x-y