Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state y answer as "DNE" 6 1 dx x2 + 1

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Q: Lesson 13 Find the derivative of the following functions. Show your solution. 1. y = x' cos x 2. y s...

A: This can be solved as follows:

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Q: 1 1 9. dx I (# – 1)(x² + 4x + 5) In |x – 1|+ 10 In a? + 4x + 5| - 20 13 arctan(x + 2) +c 10

A: First we use partial fraction decomposition and then evaluate the integral.

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Q: (a) (6) Decide if the following improper integrals are convergent or divergent using Basic Compariso...

A: To decide the convergence of the improper integrals.

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A: Given query is to find minimum marginal cost.

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A: We have to find the volume generated by rotation the curve about y axis.

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A: The integration of the integral is (6√x - x-3)2

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A: Given query is to find the indicated derivative.

Q: 1. Determine if if r2 /2r is differentiable at r 2.

A: First check for continuity then the derivative if both exist then function is differentiable. 

Q: Find the indefinie intgrel wite 5 sec (2x) tan (2x) dx

A: Topic = Integration

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Q: graph ard fined Domain and Range for yz sin'x-3 ーhm H-zx+ メー→ 3xー5 - greph amel fnd Df f Rf fir ye -...

A: Note:- These are multiple questions and according to our company guideline we can do maximum 3 quest...

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A: we have to verify the solution.

Q: (а) f(«) — У9-г2 (b) f(г) — Vz? — х — 6 V9-x² r-1

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Q: Question 6 - P Consider a room in the shape of a cube, 4 meters on each side. A bug 4 m at point P w...

A: according to our guidelines we can answer only first question and rest can be reposted. 

Q: 1. Evaluate the integral JS aA, where R is the region: {(x,y)|0 < x < 1, –3 < y< 3] x²+1

A: To evaluate the integral: ∫∫Rxy2x2+1dA where R is the region (x,y)|0≤x≤1,-3≤y≤3.

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Q: (9xy-2y2) dx - (6x²- xy) dy =0

A: 9xy-2y2dx-6x2-xydy=0dydx=6x2-xy9xy-2y2dydx=x6x-yy9x-2y  

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Q: Find tue indefinike insegred. Jcostex) sin'ces) de 3 6 (os (2x) Sin

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Q: 1/2 dx r2)2

A: Given problem:-

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Q: IV. Exercises: Find y', y", y'", and y"" for the following expressions: 1. y = x* 2. y = 2x2 + 3x - ...

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Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x*x +...

A: Let's find. 

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A: If y1(t)  and y2(t) are two solutions to the differential equation                   p(t)y''+q(t)y'+...

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A: Explained below

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Q: 25 is what percent of 44? (truncate the percent at tenths)

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