Starting with xo = 1.5 , yo = 1.2, for the formulae %3D Xn+1 = 4 – yå ,Yn+1 = |xh – 1, %3D %D Find the values of the ordered pairs x3 and y4

Q: Solve the following using exact equation or linear whichever is applicable. (x + y) dx + (x − y) dy…

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Q: Solve as required : Given : Z = 3x?y³ – 4x*y? From the given, solve the following: Əxðy dx²Əy 2. 1.

A: It is given that, z=3x2y3-4x4y2. 1. Find ∂2z∂x∂y as follows.…

Q: x²y' + 2xy = ln(x), y(1) = 2

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Q: Calculate MN and TN for the value of N indicated.

A: Given ∫12lnxdx, N=5

Q: Given y = , y (0) = 1, h = 0.5. Find y (2) using the fourth-order RK

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Q: Solve for the given DE and indicate the type of DE y" +y = csc x ) ==- 2, y" (G) y' = 3

A: Given the DE is y''+y = csc x ;   y'π2=π2-2,   y''π2=3

Q: Given a level suface 4x?y2 + 3xy = 5 with y = y(x). Find at the point (3, 4). Give your answer…

A: The given surface is:4x2y2+3xy=5To find dydxThe point is 3, 4

Q: If C = 100, k = 0.1, and t is time in minutes, how long will it take a hot cup of coffee to cool to…

A: From Newton’s Law of Cooling, we know that T(t) = Ts + Cekt Given C = 100, k = 0.1 Consider freshly…

Q: Q2):For the formula of the Heating and Cooling below : T=(c".c)+20 a- at t=0, T= 100 , find c b- If…

A: We will use log natural when there will need.

Q: Solve the following DE x y" – 4y' = x e"

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Q: olve the following initial value problem and 1. y" + y' + 9.25y = 0, y(0) = 2 %3D

A: Introduction: Differentials or derivatives are contained in a differential equation (or "DE"). The…

Q: If z = x2 – xy + 4y2 and (x, y) changes from (2, –1) to (1.97, –0.95), compare the values of Az and…

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Q: For x=e2 y= In 2t, find the value of k so that ky'=1 at x=e

A: Given: x=e2ty=ln 2t

Q: In the serially connected RL circuit, with the resistor R = 50Ω, the coil L = 10H and when the…

A: R=50Ω , L=10H , E=100V

Q: Find dy for the given values of x and Ax. y= 2x° - 7x; x= - 2 and Ax = 0.2 dy =D %3D (Round to the…

A: Solution: The objective is to find the value of dy

Q: Find C(n, x)p"q" *for the given values of n, x, and p. (Round your answer to four decimal places. n…

A: Given,

Q: Solve the following first order equations: (e" + y)dx + (2+x + ye")dy = 0, y(0) = 1.

A: First order linear differential equation

Q: From the figure below: a) If valve A is opened while valve B is closed, determine the amount of salt…

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Q: Find dy for the given values of x and Ax. y = 5x° - 9x, x= - 2 and Ax= 0.2 dy =D %3D (Round to the…

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Q: The pressure P, temperature T, and volume V of one mole of an ideal gas are related by the equation…

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Q: For a given table 4 y 5 9 16 23 d’y Find the value of at x = 4 using forward difference formula. dx…

A: The derivative at a point can be calculated using numerical differentiation. The approximate value…

Q: If NK = 6x - 15. NM 4x+11, and KM = 23, solve for e and find N P. %3D K L. N P

A: Given diagram is a kite. We should know few properties of kite. Let's discuss first those properties…

Q: Find the solution of given D.E x?(1 – x)?y" + 2xy' + 4y = 0 |

A: Given:- x2(1-x)2y''+2xy'+4y=0 ⇒y''+2xx2(1-x)2y'+4x2(1-x)2y=0 Standard form…

Q: Find based on the given information. y = e 5y +3 = x

A: Solved below...

Q: Solve the following problem. n = 31 i= 0.037 PMT = $264 PV = ? PV =$__ (Round to two decimal…

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Q: The pressure P and volume V of an expanding gas are related by the formula PV = C, where b and C are…

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Q: as instructed, to find a second solution y,(x).

A: Given, the differential equation                x2y''-5xy'+9y=0;        y1=x3

Q: Solve the following D.Es: 1. (x + 1) = x(y² + 1).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the  formula for the indicated variable. Mechanics F = mv2 / R  for R

A: The given equation is F=mv2R. To solve this equation for R , the variable R needs to be isolated…

Q: 3. Find CH(t) when H(t) = (et-3)(e?-) %3D

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Q: 2) Find the particular solution using the following indicated initial values. (D² +4D+5)y=10e³; when…

A: Given :D2+4D+5y=10e-3x

Q: Find C(n, x)pXqn – x for the given values of n, x, and p. (Round your answer to four decimal…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: For what value(s) of k will y 1 be a solution of ty" + (t – 3)y' + ky = 2te¬2t? e2t

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Q: For what value of k, if any, is * kxe-2a dx = 1?

A: Consider the given equation      ∫0∞kxe-2xdx  = 1⇒  k∫0∞xe-2xdx  = 1⇒ k = 1 ∫0∞xe-2xdx

Q: b. Find the values of dz/8x and dz/dy for the following expression: xe+ ye² + 2 lnx - 2 - 3 ln 2 =…

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Q: Need help with parts a,b, and c.

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Q: Given y = e-2", find y'. %3D

A: We will use the chain rule for derivative

Q: 5. (1+ y² + xy²)dx + (x²y+ y + 2xy)dy = 0

A: The differential equation is given as 1+y2+xy2dx+x2y+y+2xydy=0 Compare it with Mdx+Ndy=0 Here M =…

Q: Given (x + 6y? ) dx - 4xdy = 0, when x = 1, y = 1. Find the particular solution.

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Q: 1. Determine the resultant of the following. Show your complete solution and the illustration. 1. 30…

A: "Since you have asked multiple questions we will solve the first question for you. If you want any…

Q: Find C(n, x)p*q" - *for the given values of n, x, and p. (Round your answer to four decimal places.)…

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Q: Find the solution of the following: 3. y' + ky = e-(kx)

A: The objective is to determine the solution of the differential equation y'+ky=e-kx The auxiliary…

Q: Find dy for the given values of x and Ax. y = /2x+9; x=1; Ax= 0.12

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Q: The given data is: x² + y² + z? = 4 dz To find the value of dx

A: Take the derivative with respect to x and represent all terms for dz/dx.

Q: For y=In 2t, find the value of k so that ¿ky'=1 at x=e

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Q: Solve as required : Given : Z = 3x?y³ – 4x*y? from the given, solve the followin d) e) Zxy f) Zoxy

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Q: of the following models: y = a (1 + r)', y = a (1 – r)', A Pert

A: If the interest is compounded continuously then A=Pert substitute the values…

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.