5. Evaluate the following improper integral, if possible. Show all work! (2x-1)

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A: Notes:limn→∞an exist if and only if all the subsequence converges to same limit.Suppose, limn→∞an = ...

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A: Since the student has mentioned to solve question numbers (12) and (13), but we can solve only one q...

Q: Find the sum of the convergent series. 6 0.6 +0.06 + 0.006 +. .

A: Given,Sn = 6 + 0.6 + 0.06 + 0.006 + 0.0006 + ..... = 6.66666...    110 Sn = 66.66666....            ...

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A: This question is based on definite integral.

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Q: How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate...

A: Given problem:- How fast is the volume of a cube changing when the edge is 15 cm if the edge is chan...

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A: Using pythagoras theorem;Right angle triangle ABC, x2 + y2 =252      ....(1)

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A: Solving the problem by finding the exact value.   NOTE :: As per our Expert guidelines we are suppos...

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A: The given question can be solved as shown instep2.

Q: 10. Find the equation of tangent line to the graph of f(x) = 2x – x³, at the point(-1, –1). %3D

A: Find your answer below 

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Q: following

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A: In the graph we can see that graph is continuous at interval (-♾️,-5) because in between (-♾️,-5) th...

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Q: 22, what is

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A: we know that(x,y,z) is nothing but distace of a point from origin along the x,y,z-axis

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A: We have to find the value of a that will make the function continuous at every real number.         ...

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A: We put x2=u and differentiate both sides with respect to u and solve it. Follow 2nd step.

Q: . The derivative of y = xe + e" is D. ex А. хе В. хе + е^ С. exе-1 + е‑

A: Given: y=xe+eπ

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Q: 1. Determine the following information regarding each function step by step and then sketch its grap...

A: find the attributes of a graph

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Q: *+9x +20x Determine all the vertical asymptote/s of f(x) = if there are any. x* +x-12 X=-5

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A: solution

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A: Range of a function is the set of all possible output values (y values) of the function.

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Q: Find the value of b for which the differential equation (yel0zv + x) dx + (bxe10wv) dy = 0 10xy is e...

A: Let's find. 

Q: S-) dx 5.

A: Formula:∫ 1x dx = ln x+ C∫1a2+x2dx = 1atan-1(xa)+ C I=∫1x-5x2+1 dx=∫dxx - 5∫1x2+1dxI= ln x - 5 tan-1...

Q: (x* + y° ) In (x² + y* ). (x,y)= (0,0) f(x, y) = k +1, (x, y) = (0,0)

A: If f is continuous then lim (x, y) tends to (0, 0) =k+1 And using l hospital rule. 

Q: -4 The number of tangents to the curve of y=- x³ + 6x? which have a slope of 8 is:

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Q: of e dydx

A: