Instruction: Determine if f is continuous at x = c. Also, determine if f is differentiable at x = c. sx² if x <0 l-x² if x > 0 f(x) = c = 0

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A: This question is based on solution of Homogeneous differential equation.

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A: Here, to write the other method to find the arbitrary constant of the differential equation.

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Q: )-刈+3X-4-3 xy -2X+4y -8 %3D 8.

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A: NOTE: Refresh your page if you can't see any equations. . take derivative so the slope of the ta...

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Q: Lqsudnhlao203=9m] -03P99E90RO[9U3RM7210 Ud8y(,om 301 29u 3 ***#!12ngwe gggd 982eh c y The function f...

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Q: Find the inverse of the given function. log,(r) f'(x) =

A: Given log3x=yWe know that logba=n and this can be written as a=bn

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A: For the solution follow the next step.

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Q: Homogeneous Differential Equation: (x* + 2.xy – 4y° kdx – (x² –8xy – 4y² kdy = 0 y. x=2; d = wdx+ xd...

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Q: 7. The function (x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree

A: .Given,f(x,y) = (2x4+y4) ey2x +x y3Put y= xSo we get,f(x,x)= (2x4+x4) ex2x +x x3 f(x,x)= (3x4) e0.5 ...

Q: Shown above is a slope field for which of the following differential equations? A + y? (B = x – dr y...

A: Here, dydx=y2⇒dyy2=dx⇒∫y-2dy=∫dx+C⇒y-1-1=x+C⇒-1y=x+C⇒y=-1x+C The graph is as shown for c=0.  

Q: dx 2. Evaluate f 7+x2

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Q: e - a) + ? = α a²

A: See the details solution in below