Find the point at which the line f(x)=−x−4 intersects the line g(x)=5x+14.

Q: Find the general solution of y' = y secx

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Q: Find the linearization of-ƒ(x, y) = x2 - xy + 1- 2 y2 + 3?

A: Here we have,  f(x,y) = x2-xy+1-12y2+3 at (3,2)

Q: The management of Titan Tire Company has determined that the weekly demand and supply functions for…

A: Givendemand function p = 144-x2supply function P = 48+12x2

Q: Verify whether y(x) = 2e-*+xe-* is a solution of y" + 2y + y = 0.

A: Topic = Differential equation

Q: Find d2y/dx2 implicitly in terms of x and y.    x2y − 4x = 5

A: To find the second derivative of y implicitly in terms of x and y.

Q: y=Cie3x + C2e¯ 2x + x

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

A: We first separate the variables

Q: Suppose the equation y" – 4y' – 5y = f(x) has y= 3x as a solution.

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Q: , y = X = t+2 t+2,

A: The solution of the problem is given in the next step.

Q: Find d2y/dx2 in terms of x and y. x2 + y2 = 3

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Q: () Find the solution that satisfies Y(0) 1

A: We will find out the required solution.

Q: solve for y in terms of t or x, as appropriate.

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Q: Q3- Solve nonexact D. E x dx+(3y4+y+3x2y2) dy 0.

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Q: Find a constant solution of y′ = t2y - 5t2.

A: we have to find a constant solution of  y'=t2y-5t2

Q: use Separation of Variables to find the general solution. y' + x2y = 0

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Q: The cost per day to society of an epidemic is C(x, y) = 40x + 230y where C is in dollars, x is the…

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Q: Solve the nonlinear equation f(x) = e*-3x using: %3D

A: Muller method

Q: Find d2y/dx2 implicitly in terms of x and y.    x2 + y2 = 4

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Q: Solve using D-Operator 3. y + 2y + y = x²

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

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Q: Using partial equation, solve for: xy3dx + (y+1)e -xdy =0

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Q: Solve using the chain rule f(x) = 6/2x – 5 12 A. 6V2x- 5 В. 2х-5 6. C. 12x/2x –5 С. D. V2x-5 - O A O…

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Q: Consider the linear equation 3(x+1) = 3x + 3 Is x = -3 a solution to this linear equation?

A: Given data,                   3  x + 1  = 3 x + 3

Q: y" – 6y' + 9y = :

A:

Q: Determine-for the implicit equation x2-10 y = 3x dy

A: We, differentiate both sides with respect to y. We use the product rule of differentiation which…

Q: Solve using Methods of Undetermined Coefficient (D² – 1)y = x – 1

A: To solve the following problem using method of undetermined coefficients

Q: [v= -y +2x ,x' = 4y + x + t

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Q: Solve Hhe difforenhal aquahon d3y dx3 2X (I+x)e -7 -

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Q: Use Separation of Variables to find a solution in the domain (-∞, 1] with h(1) = 0.

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Q: Solve (x + 2)x 4 geometrically by constructing a line segment of length x .

A: We can expand it by multiplying x inside bracket then it is parabola equation then draw the parabola…

Q: Find d3y dx3 of y = x³e-x

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Q: Consider the linear equation: 3(x+1) = 3x + 3 Is x = -3 a solution to this linear equation?

A: Given equation is, 3(x+1) = 3x + 3

Q: Solve for the domain and range of. f(x.y,z) = 4-x2-y?

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Q: y = x2 - 2x over the interval (0, 2]:

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Q: Jx² +y° =16 (x+2)* + y² = 25 Solve graphically:

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Q: Evaluate d2y/dx2 at the point (0, -9). x = t3 - 3t y = 3t2 - 9

A: Given: x = t3 - 3t y = 3t2 - 9

Q: y" – 2y' + y = e*/x

A: The given differential equation is…

Q: Solve for the values of “x" in the equation x+2y+y^2=3x-x^2+5, using Secant Method *

A: The secant method uses the formula, xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn) to perform the iterations.…

Q: Find the point at which the line f(x)=−5x−3f(x)=-5x-3 intersects the line g(x)=−x+1g(x)=-x+1

A: The given functions are fx=-5x-3gx=-x+1

Q: Find the general solution of y" = 6y' – 9y where y is a function of x.

A: Given differential equation, y''=6y'-9y Find the general solution of the differential equation.

Q: f(x) = v2x2 – 13 s %3D -

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Q: Find the value of the fx(2 − x) dx - 0

A: Solution :- 1250·∫02x2-x49dx Substitute u = x-2dudx=1du = dx-1250∫u49(u+2)du

Q: What points (x, y, z) satisfy the equations x2 + y2 = 4 and z = 3?

A: Given: x2+y2=4, z=3

Q: Solve the simultaneous equations y = 1 + 3x – x2 and y = 3 – x graphically. %3D fom

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Q: Find DF of fcx,y)=x²e° at the point (-2,0)-

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Q: g(x) = t² - t dt g'(4)

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the general solution of (2x –y) = 2y – x

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Q: Find the general solution for y' = y – xy³e-2x

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Q: "+y = sec³ x

A: