Determine for the following equations whether y is a function of x. Justy your anwer. -x2+y4=4

Q: f(x, v) = a² + y² - 4zy.

A: We have given f(x,y)= x2 +y2 -4xy Now, for finding the critical point we have to find partial…

Q: y a-2x- 15

A: Given function y=x2-2x-15

Q: Determine whether the following equation defines y as a function of x. x² + y = 9 2 Does the…

A: Given equation is x2+y =9. We have to say whether the equation define y as a function of x. If every…

Q: Find of the function x³ z2 – 5æyz = a? + y %3D

A:

Q: Select all of the following equations for which y is a function of x. Ox + 3y = 3 Oa = y' + 3y O2? +…

A:

Q: find the specific function values. ƒ(x, y) = x2 + xy6 ƒ(-3, -2)

A: Given function:

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: Decide which of the two given functions is linear and find its equatie 1 2 3. 4 f(x) 9. 12 15 18…

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Q: Draw the contour lines of the following function for the values of C = -4, C = 4, C = -8, C = 8 Once…

A: Definition:  The level curves of a function z=f(x,y) of two variables are the curves with equations…

Q: t(x, y) x² + y?

A:

Q: Determine whether the equation defines y as a function of xy = 2x^2 -3x + 4can someone please show…

A: We have

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

A:

Q: For each of the following equations, determine whether y is a function of x. x = 3y + 3 O Function O…

A: x=3y2+3               O  Not a function      x=12y2                   O Not a function…

Q: Determine whether the equation defines y as a function of x 6xy − 2y2 = 5

A:

Q: Represent the following equation functions. (a) (r – h)² + (y – k)² = r²

A: We have given an equation (x-h)2+(y-k)2=r2. Represent given equation as vector valued function.

Q: Select all of the following equations for which y is a function of x. O2? + y? = 3 Ox = 4 Or + 4y =…

A: y is said to be a function if there is only one value of y for each value of x and also y is…

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

A:

Q: Identify the level curve of the function f(x, y) for c 8. x2 Write your answer in terms of y as a…

A: NOTE: Refresh your page if you can't see any equations. . the given function is here we have c=8 so…

Q: Plot the following functions 1. y = -V2x +1 2. y = (x- 1)3 + 2

A:

Q: For the function f(x) = x+7, what is the ordered pair for the point on the graph where x=2b plz…

A: Given f(x)=x+7      ...(1)

Q: Identify the level curve of the function V(x, y) = xy – 6x for c = 1. Write your answer in terms of…

A:

Q: For each of the following equations, determine whether y is a function of x.

A: To determine whether y is the function of x or not. consider that for any value of x , the variable…

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: A small grocer finds that the monthly sales y (in S) can be approximated as a function of the amount…

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Q: Calculate y" for the function y = 5x' – 7x² +16

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Q: does xy=4 describe y as a function of x?

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Q: Find the function g(x) which is obtained by reflecting the graph of f(x) about y axis and moving 2…

A: solution

Q: Identify the level curve of the function g(x, y) гу — Зх for c— — 4. Write your answer in terms of y…

A:

Q: For each of the following equations, determine whether y is a function of x. x = 3y + 3 O Function O…

A:

Q: Graph the function using translations. f(x) 3*+1 4

A: Given, y= 3x+1 Let y=0, 3x+1=0 Therefore, x-intercept doesn't exist.   Let x=0, y= 31+0=31 y= 3…

Q: Determine whether y is a function of x…

A: For a function to be a function of x, the two variables say y and x must be separable…

Q: Evaluate the function: S 4ry(6+y/2)dy

A: topic - indefinite integral

Q: Find y as a function of t if 121y′′+198y′+81y=0, and y(5)=9,y′(5)=9. y=

A:

Q: Find y as a function of x if x²y" – 3xy – 12y = x², y(1) = -7, y(1) = -7. y =

A:

Q: Find the direction in which the function is most repidly at the point P0

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Q: Find y as a function of x if y′′′+25y′=0, y(0)=6,  y′(0)=35,  y′′(0)=−100. y(x)=

A:

Q: Given the function + y-4, find y'. Oy = Oy =

A:

Q: Identify the equation that defines y as a function of x (a) x+(y-1)² = 3 (b) x2-y 3xy (c) 3x+5y = 1…

A: (a) x + (y-1)^2 =3       this equation gives two value x (b) x2 - y2=3xy    it also give two values…

Q: Which of the following is not a function in implicit form? A 3s +1=1 B v = 312– 6t + 19 (c) a²+…

A:

Q: Find y as a function of a if y(0) = 12, y(0) = 21, y"(0) = 18. y(x) = y" 16y" +63y = 144e²,

A: Given: y'''-16y''+63y'=144ex y0=12 y'0=21 y''0=18 To find: Solution to the given differential…

Q: is y=x^2 a function? my book said it was but bartlby says it is not

A: If for one value of x we get only one value of y then it will be a function.

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

A:

Q: Decide which of the two given functions is linear and find its equation. 6. 10 15 f(x) 0 3 23 37 54…

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Q: Differentiate the function with respect to the independent variable. h(t) = t - 7t+2 h'(t) =O

A: Given function, h(t)=92t2-7t+2

Q: Which of the following equations DOESN'T define y as a function of x ? Select one: O y=x³+2 O…

A: To find the equation which doesn't define 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 =

A:

Q: Which of the following equations DOESN'T define y as a function of x ? Select one: O y= x3+2 O…

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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.