) find the following limits if exist:- x²+3x-4 x-1 limx-17

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A: We can solve the given question as follows:

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A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

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A: NOTE: Refresh your page if you can't see any equations. .

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A: Given quadratic polynomials2+2s+5a.Discriminant,D=b2-4acD=22-4×1×5D=-16D<0so, this quadratic…

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A: Domain of a function is defined as the values of x for which the function is defined.

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A: Let the investment at starting is = x   Increase in first year =1 % increase in second year = 5%…

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Q: 11. Prove the identity: tan²x tan²x + 1 = sin²x

A: Simplification

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A: We want to plot the graph of U(r)= 1/r.   It means U(x)= 1/x

Q: The differential equation dy 18 dx y¹/2 + 4x²y¹/2 has an implicit general solution of the form F(x,…

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A: we will do as per the question.

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A: Please see the below picture for detailed solution.

Q: Which differential equation follows the form y'+p(x)y=q(x)? A (В E dy dx dy 4-+y=6x dx - 3xy=4y² dx…

A: I am attaching image so that you understand each and every step.

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A: NOTE: Refresh your page if you can't see any equations. . the given DE is  here we have A=60

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A: The Solution is given below

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A: Topic:- function and derivatives

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Q: plane

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Q: 1. Simplify: 3x x + 2 a) ÷ 6x² x2 4 b) (y - 3+√2 )(y+3+√2)

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Q: 3.44 3. Test for homogeneity f (x, y) tanx-sec²x - cosy

A: Question : Test for the homogeneity f(x, y) = tanx - sec²x - cosy

Q: 22. Use the Trapezoidal Rule with n = 4 to approximate 1 (x− 1)² dx

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