1. Determine the number of planting materials for each of the following crops given the distance of planting in each planting system for 500m x 100m field employing the three (3) lay-outing methods or techniques. Planting Distance (m) Crop Abaca 2 x 2 Coffee Рарaya Lanzones 3 x 3 4 x 4 6 x 6 8 x 8 Coconut Formula: A a. Quincunx Np + [L/S – 1] [W/S – 1] s2 ----- - Where: Np= no. of plants A = area (m2) S = planting distance (m) L = length of the field (m) W= width of the field (m)

Q: 1- Use Euler Method to find value of y at x = 1.5 for the D.E. y' = x/y with initial value y(o) =…

A: We first find the solution by Euler method using the step size h=0.3 of the given differential…

Q: 2. The finance department of a car company conducted a study of their weekly sales in the past…

A:

Q: During the design of the spring-support system for the m, = 3590 kg weighing platform, it is decided…

A:

Q: a. Use the 2nd-order Runge-Kutta Method to approximate y(t) with h= 0.25 b. Use the 4th-order…

A: Given y′=0.4y(1-y20)-y21+y2,y(0)=2.44,h=0.25,y(0.5)=?Second order R-K…

Q: Consider the following initial value problem involving Legendre's equation (1 – a² )y/" –…

A:

Q: H.W2:- Estimate y(0.3) ,using Euler method with step size h=0.1 where y' = x + y y(0) = 1

A:

Q: An investment grows according to the DE dy = ry + I(t), dt %3D where 100r is the nominal interest…

A:

Q: 1 1 lim t->0 tv1+t t ou upload at the end of this c

A:

Q: Given that y' = 2x2 – y + 3y2, where y = 0.5 at x = 2. Estimate the values of y(2.4) using the…

A: Let y'=f(x, y). Runge-kutta method of  fourth order also known as RK-4 method uses the formulas…

Q: 3. As part of his summer job at a restaurant, Bren learned to cook up a big pot of soup late at…

A: Given- As part of his summer job at a restaurant, Bren learned to cook up a big pot of soup late at…

Q: Solve the following initial value problem using Picard's successive approximation method. d²y dr? +…

A: Let z=dydx then the given equation is dzdx=-y Therefore solving two simultaneous equations…

Q: A spring with spring constant k = 0.6 N/m has an equilibrium length of 1.7 m. How much work is…

A: To determine the energy stored in the spring.

Q: The temperature distribution of a long, thin aluminium rod with a length of 12 cm can be determined…

A: The heat equation k∂2u∂x2=∂u∂t---1 is given with k=0.835cm2s-1, ∆x=2cm, ∆t=0.1s, t≥0. The B.C's are…

Q: Use the information given in Figure 1 to construct a mathematical model for the number of kilograms…

A: Let consider the figure

Q: Solve the following DE, using Separable method. 1.50 point y'In ly+ x*y 0.

A:

Q: (a) The speed of a motor supplied with a voltage input of 30V, assuming the system is without…

A: (a) The speed of a motor supplied with a voltage of 30V, assuming without damping, can be expressed…

Q: Find the solution to the following initial value problem using Laplace Trans- form: a" + 9x' + 14.x…

A:

Q: Use Euler's method with specified step size to determine the solution to the given IVP at the…

A: We can solve this using Euler method

Q: C) Determine the largest interval on which a unique solution of the following initial value problem…

A:

Q: An investment grows according to the DE dy = ry + I(t), dt where 100r is the nominal interest rate…

A:

Q: (. ) If a mass of 7 kg stretches a spring 3 cm beyond its natural length, what is the spring…

A:

Q: Find the maximum possible temperature of an ideal gas undergoing the process p=p0e−βV, where β is a…

A: The given function is where p is the pressure ,β is a positive constant and V is the molar volume…

Q: 1-Use Euler's method to approximate the solution of the following initial value problem fy 1-(t-y)2…

A:

Q: E2 + 3 x t49 19 %3D %3D

A:

Q: The wall (thickness L) of a furnace is comprised of brick material (thermal conductivity, k = 0.2…

A: Given heat equation is ρc∂u∂t=k∂2u∂x2                    (1) initial condition is u(x,0)=x2(L-x)…

Q: Consider solving the following IVP using Euler's method with h = 0.1 y' = -y, 0<t < 1, y(0) = 1.

A:

Q: find the suprimum, in! infimum maximum and minimum of { c,1": (1+):ne w}, if t)ine w}

A: Supremum: Let A⊂ℝ then, least upper bound of the set is called supremum  of the set A. Supremum may…

Q: Fix each of the following statements regarding reversible processes. a) For a reversible process,…

A:

Q: For each of the initial value problems, apply Euler's method twice to approximate the olution on the…

A:

Q: For an auditorium: Room condition: 26oC DPT, 19 oC WPT; Outside conditions: 35 oC DPT 27 oC WPT;…

A:

Q: Suppose that the mass in a mass-spring-dashpot system with m = 10, c= 13 and k = 4 is set in motion…

A:

Q: 4. In one model of the changing population P(t) of a community, it is assumed -, where and are the…

A:

Q: Consider the IVP y'= -y + t + 1 with y(0) = 1, for t e [0, 5]. What is the corresponding Lipschitz…

A:

Q: A spring with spring constant k = 5 N/m has an equilibrium length of 0.8 m. How much work is…

A: Given that k= 5 N/m So, F(x)=kx=5x We will have to stretch the spring (1.1-0.8)=0.3 m from its…

Q: This content X (in percent) and impurity Y (in percent). LtX 4.2-10. A certain raw mnaterial is…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Solve the following initial boundary value problem au ou 0 ), (0,1)=u(z,1) = 0, (>0, u(x.0) = f(x),…

A:

Q: In the gas pipeline of Cactus, Tab. to Reynosa, Tamps. The cost W(Ton/hr) is determined periodically…

A:

Q: . Classify the following PDE as (i) Linear or Nonlinear, (ii) Homogeneous or nonhomogen eous a ru -V…

A:

Q: 7. Given a set of N concentration measurements C, at times t, set up the formulas for numerically…

A: We will solve this question using basic knowledge of trapezoidal rule only. Recall that for some "n"…

Q: In the Romer model output is given by ü = e where j = ALy = A(1-sR) %3D Assume that = ALA Further…

A: Introduction:-

Q: Solve the iniliál value problems. dy MA Using Mihe's method 22A).

A:

Q: 10. Use Euler's method with specified step size to determine the solution to the given IVP at the…

A:

Q: Consider the following initial value problems. Use improved Euler's method, with the step size h =…

A: The given inital value problem is y'=e-y and y0=0. The value of h is given as 0.1. Compute the value…

Q: A tank containing 10 kilograms of salt dissol- utions pumped in. The first solution of 0.2 kg min.…

A: Given:

Q: 1. Solve Laplace's equation inside a rectangle 0 0 and H > 0), with the following boundary…

A: Given, Laplace's equation                    ∂2u∂x2+∂2u∂y2=0                   ...(1) (0≤x≤L,…

Q: 1. Use Euler's method to find the approximate value of y correct up to 4 decimal places for x = 0.4…

A: Euler's method for the appropriate value of the differential equation

Q: For the following stirred tank​ reaction, carry out the following analysis.   a. Write an initial…

A: a. Given that, the volume of the tank is 400L, the concentration of copper sulfate is 25g/L and the…

Q: Obtain the particular solution satisfying the indicated condition. lnx/e^ydy=xdy ; y(1)=0

A: Follow next step

Q: Solve the following initial value problem: æ" +w?x = Fsin(wt) (0) = 0, a'(0) = 0

A:

Q: 4.1. Derive the heat equation with a metal rod with variable cross-sectional area A(x). Using the…

A: Cross section area of metal rod is Ax. Energy density per unit volume is hx,t. Energy in the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.