Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. y' = y – y, y(0) = 0.4; y(0.5) y(0.5) - 0.5234 X (h = 0.1) y(0.5) × 0.5234 X (h = 0.05)

Q: For the following function y=4sin(2(x-3pi/4))+1, match the following.

A: Given:- y=4 sin(2(x-3π/4))+1  To find:- Amplitude , minimum , maximum

Q: B. USING GAUSS QUADRATURE WHEN N=6 5 -3 (4x − 3)³ dx

A:

Q: For each situation, find zcritical and area under the curve (AUC) beyond zcritical to fill out the…

A: For 0.06. The level of significance is 0.06.

Q: A tank initially contains 300 gallons of water with 50lbs of salt disolved in the water. A brine…

A:

Q: (2х — 3)* y = - х +1 .2 х*у + 3ху3 — х %3D 3 X =

A:

Q: A respiratory cycle is defined as the beginning of one breath to the beginning of the next breath.…

A:

Q: The displacement from equilibrium of a weight oscillating on the end of a spring is given by y =…

A: For the equation: y=1.62e-0.22tcos4.9t, we need to determine the value of t such that the value of y…

Q: 16. 0"(t)(t) = t sint

A: The objective of this question is to find the derivative of the function f(t) = t * sin(t).

Q: If n=10 and p=0.5, find P(x=8) Give at least 4 decimal places.

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Q: Given the function f(x) – x² + tanx – 2x (Use radians]

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Q: You are given P[AUB]=0.7 and P[AUB']=0.9. Calculate P[A].

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Q: If P(B)=0.25, P(A |B)=0.50, P(B')=0.75, and P(A |B')=0.60, find P(BA). (Round to the three decimal…

A:

Q: dy for y =loge(l-Sin( 3x) Xア

A: We use chain rule to solve this differentiation

Q: 8. Approximate the value of xIn(x+1)dxusing left endpoints with n-4. Round to three decimal places.

A: We have to approximate given integral.

Q: Use the Newton-Raphson Method to approximate to three decimal places the root of f(x) = e-x - x…

A: Newton Raphson method Steps  Step-1: Find points a and b such that a<b and f(a)⋅f(b)<0.…

Q: Differentiate the given function. y=XV8X-5 y'= (Type an exact answer, using radicals as needed.)

A:

Q: a)    Determine the rate of change for the following functions (i) to (iii):   B=10 B is the value…

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Q: 1 ,-(x-a)/b dx a

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Q: Which of the following graphs is the slope field for 15/1 1~/1ST ~\~ in 13t-ii-i ~~~ -1 1 2 3 4 5…

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Q: 3. A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. If passengers board the lowest…

A: Given: Diameter of Ferris wheel=18.5 m, Rotation rate of wheel=0.2 radsTo find: The cosine function…

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.