Determine the value of ksuchthatf (x)= kx2 ifx ≤ 2 2x+k ifx>2 iscontinuouseverywhere.Then, kerk

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Q: nd the differential equation of (1-x)y'=y²

A: To out the solution of the differential equation.

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Q: 7x √4x6 +x5 x² + 3x³ lim X418 X -

A: Topic = Limits

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Q: Find all constant solutions, then solve explicitly: dz/dθ −(z^2)(θ^3)e^(θ^2)= 7(z^2)

A: This question can be solved using the concept of solution of differential eqution using variable…

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A: Answers are correct but both point of discontinuities are non removable.

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A: The Differentiation is given below-

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Q: 1. Integrate the following: 7x2 (10x3 + 79 )0.5 within the range 5 and 9. (Please give your answer…

A: Please see the below picture for detailed solution.

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Q: Find the limits. ‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒ 3 f(x) = 2x²-3x + 41, g(x)=√x + 3 (a) lim f(x) X-4 = (b) lim…

A: To find the given limits of the function.

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A: Note : As per our Guidelines , we can solve first one as your all parts are not too small . Please…

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A: To solve the following problems.

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A: Given data÷ y=xx-1 Useful formula÷ dydx=ddxuv=vdu-udvv2

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Q: For the curve: f(x) = 3x^2- 12 : i. determine the x and y intercepts.  ii. locate the stationary…

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Q: (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(3, -4).

A: Given that y=42-xSolution :equation of tangent line at x1,y1 having slope m.y-y1=mx-x1x1,y1=3,-4m=4…

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Q: N C 0 O N RE Ⓡ O

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A: The general notation of Maclaurin series is given by  F(x)=∑n=0∞fn0n!xn

Q: find the solution of the differential equation of ye^2xdx=(4+e^2x)dy

A: Here is the solution:

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