Use the root test to determine whether the series converges or diverges. If the test is inconclusive, then say so. k 5k + 4 3k – 2 k=1 If p = + 0, enter "inty".

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A: To sketch the function with the given details.

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A: Given,y'' -10 y' + 25y = 0     .......1this is homogeneous equation.Since,y" = D2yy'=DySo putting in...

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A: We have to evaluate these integration by assuming some terms who convert it in simple integral. 

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A: According to our guidelines , we can answer only first question. Kindly re-post other remaining ques...

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Q: 2. A tonk initially contains 1oO gallons of brine whose concentration is 2 lb/gal. Brine whose salt ...

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Q: Assessment 1: The function is discontinuous at the number. Does the discontinuity appear to be remov...

A: Note:- “Since you have posted multiple questions, we will solve first question for you. To get remai...

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Q: |(1+ sin x)'cos x in x) cos x cOS.

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Q: Evaluate the following limits: x2 + 4x – 12 lim x2 – 2x

A: SOLUTION-

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A: we have to find the solution of  given differential equation.

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A: Differentiating using chain rule of differentiation

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A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

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Q: Question 16 Evaluate: SVX+ sin/x dx. A) None of the given choices 2x+ cos/x + C B 2 x+2cosx +C Ox-2c...

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Q: Examples: Find the limits of the following: 4. lim tanx tan"(-0) = - 2 5. lim secx = lim cos (-) = c...

A: Given:   Limit Equations is given

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Q: I Solve the differential equations [ 2(x+y)- xy]dy = (x+xy²- 2y +3)dx when x=1, y=1 3.

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Q: 5. Let f(x) be the function f(x) = {* T*<7 What is the value of c that makes the function f(x) conti...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

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Q: MY NOTES ASK YOUR TEACHER PRAC Find the exact length of the curve. y = In(1-x), o sxs OSXS

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A: Use geometric series test to solve given problem.

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: Cylindrical shell Method :    If the region between two curves y=f(x) and y=g(x) and f(x)≥g(x) on x∈...

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A: First we find h(x) , using 2sin2x=1-cos2x Then equation of tangent is y-y0 =m(x-x0 ) 

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A: To identify which statement is true or which is not1st:ydx+xdy=0 is the DE of family of lines passin...

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x – 3x? + 4x – 12 2...

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Q: Given that lim f(x) = 2, lim g(x) = – 4, lim h(x) = 7 find the limits. Enter the exact answers. (a) ...

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others parts as...