Determine whether the equation defines y as a function of x. x =  |3y|

Q: Find y as a function of a if y(0) = 7, y/(0) = -12, y'(0) = 108. y(x) = y" + 36y' = 0,

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Q: Solve the equation for y and then determine whether the equation defines y as a function of x:  x2 +…

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Q: Find and simplify the function values. f(x, y) = 8x + y2 Exercise (a) f(x + Дх, у) — f(x, у) Дх

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Q: Does the equation y = x+32 define y as a function of x? O Yes O No

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Q: Determine whether the equation represents y as a function of x: 10. y = 4 – x2 11. 4xy = 16 12. 2x +…

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Q: Determine which of the following equations defines y as a function of x. (a) x-y = 16 (b) x-2y = 8

A: x-y2=16 On simplification, we get ⇒y2=x-16⇒y=±x-16 Clearly for each value of x, there are two values…

Q: Which of the following functions has a graph that issymmetric about the y-axis?(a) y = 2x (b) y = x…

A: We have to see which of the following equation is symmetric about the y - axis.

Q: Let f(x)= 4x2 + An equation of the line L tangent to the graph of f at the point ( ) is (fill in the…

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Q: y = ±5x

A: Given data:   The given expression is y=±5x.   A relation is said to be a function when every…

Q: Determine whether the equation xy - 5y = 1 defines y as a function of x.

A: Here we determine whether the equation xy-5y=1 defined y as a function of x.

Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

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Q: Find y as a function of a if x?y" + 15xy + 49y = 0, |3D y(1) = -5, y'(1) = 4. y =

A: Given differential equation is  x2y''+15xy'+49y=0 given y(1)=-5,y'(1)=4

Q: Determine whether the equation x − 1 = 0 represents y as a function of x.

A: Determine whether the equation x − 1 = 0 represents y as a function of x.

Q: Determine whether the following equation defines y as a function of x. x-9=y? Does the equation x-9=…

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Q: Write the function in the form y = f(u) and u = g(x). Then find dy as a function of x. - 12x y = e

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Q: eliminate the parameter to find an explicit equation for y as a function of x.  x=4 - 2t, y=5 + 3t

A: x=4-2t x+2t=4 2t=4-x t=0.5(4-x)

Q: Determine whether the equation defines y as a function of x : xy + 2y = 1

A: we have to determine whether the given equation defines y as  a function of x. given:  xy+2y=1

Q: Determine whether the equation defines y as a function of x. y = 1/x

A: Given y=1x

Q: Decide whether the equation defines y as a function of x. x?y - x2 + 14y = 0 O Yes, y is a function…

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Q: Determine whether y is a function of x…

A: The given function is  y2 = x2 − 1

Q: Find and simplify the function values. f(x, y) = xy

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Q: Consider the implicit relation yx +1= 7y. In the box below, solve the equation for y as a function…

A: In this question, we have to separate y in terms of x.  i.e. y=f(x)

Q: Determine which equation represents y as a function of X. O x² + y = 16 Oy= 4 o lyl – 5= x ox = y-2y

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Q: Graph the function y x over the interval |-1, 1].

A: Graph

Q: Determine whether the equation represents y as a function of x.then fine the domain! y=square root…

A: The given function is y=2x+3. Clearly, this equation represents y as a function of x. It is known…

Q: Solve the equation for y and then determine whether the equation defines y as a function of x:  2x +…

A: Given: Linear equation 2x+y=6 To determine: Solve  the equation for y & to determine whether the…

Q: ) Find y as a function of x if x?y" + 2xy' – 42y = 0, y(1) = 5, y'(1) =-3. y =

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Q: Does the equation x = y2 define y as a function of x? 00 Yes No

A: Definition of x

Q: Determine whether the equation defines y as a function of x.; |y|=2x+3

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Q: Determine whether the equation defines y as a function of x. a. x2+y=25 b. x+y2=25 c. x= y3

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Q: Determine whether the equation y = ±√1 − 2x defines y as a function of x.

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Q: determine whether the equation defines y as a function of x.   y = { 21 - 2x

A: y=21-2x

Q: Determine whether the equation defines y as a function of x X^2-4y2=1

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Q: Determine whether the equation defines y as a function of x. 22. Зх — 5у %3D7 23. Зх2 -

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

Q: Determine whether the equation defines y as a function of x. x + y2 = 14

A: x+y2=14y2=14-xy=14-x2so y is function of  x but every value does not satisfy for example if we take…

Q: Determine whether the following equation defines y as a function of x. x? +y? = 144 Does the…

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Q: Does the equation x + y = 49 define y as a function of x? Yes O No

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Q: Consider the function defined by f(x,y) = 4x² + y? (a) Find the domain and range of f.

A: Given function: fx,y=4x2+y2To find: Domain and range of f.

Q: Determine whether the following equation defines y as a function of x. x+y = 13 Does the equation x…

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Q: Determine whether each equation defines y as a function of x x=|2y|

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Q: 1) Determine whether the equation defines y as a function of x. x = y3

A: Givenx=y3

Q: Find y as a function of x if y′′′+49y′=0, y(0)=8,  y′(0)=49,  y′′(0)=98.

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Q: Plot the following function as a 3D plot: (x + y)* + (x – y)² - f(x, y) = 2(x + y)² 4

A: Plot the function:f(x,y)=2(x+y)2-(x+y)4+(x-y)24

Q: Determine whether the equation defines y as a function of x. .2 =1-x Does the equation define y as a…

A: Given that Y2 =1-X2.

Q: Find y as a function of x if x?y" – 2xy – 40y = 0, y(1) = 7, y'(1) = -5. y =

A: We have to find the solution of differential equation.

Q: Determine whether the equation defines y as a function of x. x3 - y3 = 27

A: Given, x3-y3=27     Determine whether the equation defines y as a function of x:

Q: Find y as a function of x if x'y" – 9xy' + 25y = x", y(1) = 2, y'(1) = -5. y =

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Q: Find y' if 3x2- (ry?) = 2y.

A: Given that, 3x2-xy212=2y3 Find the derivative of the given equation.

Q: Determine whether the equation represents y as a function of x: 10. y = 4 – x² 11. 4xy = 16 %3D 12.…

A: use the definition of 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.