Evaluate the improper integral if it converges, or else show that it diverges. 16 dx

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Q: Given: sin a= & in Quadrant I and cos 8= - 12 in Quadrant Il; evaluate the following expression. tan...

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Q: 1. dx てナメてナて

A: We have to evaluate the integral

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Q: SvX (n x dx

A: Let I=∫xlnx2dxApply integration by part.I=lnx2∫xdx-∫∫xdxddx(ln(x))2dx I=lnx2x12+112+1-∫x12+112+12ln(...

Q: ese B tane dr fr Osco t tan'o) de =o Xyz le

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to g...

Q: 5] Sketch the graph of r(t) direction of increasing t. (sin t, 2 cos t) and show the %3D

A: Given: r(t) = (sint, 2cost)

Q: 3. Determine the divergence or convergence of the series 00 a) Σ (1.075)" п n=0 4n+1 b) E Зп-1 n=1 c...

A: NOTE: Refresh your page if you can't see any equations. . here the sequence is  compare this serie...

Q: [5] 0 v2 = 9 v1 2 V3 4 -81

A: The given vectors are ; v1=5 , v2=7 , v3=9       0.       2.         4       0.        -6.       -8.

Q: DIFFERENTIAL EQUATIONS Solve using variation of parameters or reduction of order Show your step-by-s...

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Q: A. (1+ 4xy – 4x² y) dx + (x² – æ³) dy = 0 | - B. (y – sin? x) da + sin æ dy = 0

A: A detailed solution is given below 

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. (1) an = tan-1 (...

A: Here we have to determine the given limit.  We have, an=tan-11-4n

Q: Martin went to the store and bought toilet paper and paper towels in March of 2020 and sold them to ...

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Q: 4. y = sin(cos 3x) – sin x cos 3x

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Q: 343 | lim x → 7 x – 7 - O - 28 O 147 O 98 O – 147

A: Topic:-  limits and continuity  

Q: [3 1 B = [4 3 1] [1 21 and C = 3 4 Compute ABC if A = 11

A: Given:- A=12-13 , B=312431 ,C=123410 To find:- ABC

Q: Pennstase 2) 2Determine whether the given sequence converges or n2+ 1 ldiverges. If it converges, ca...

A: The objective is to determine whether the given sequence converges or diverges .

Q: x2 +4 dx 2x2 + x

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Q: The graph of f', the derivative of f, is shown below. Determine all possible inferences that can be ...

A: Let's find. 

Q: Sketch the region enclosed by the given curves. 1 у %3 2/х, у 3 8х, у %3D —х, 2 x > 0 y 5 4

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Q: A point has rectangular coordinates (2, – 2). Convert to polar coordinates, with r > 0 and 0 <0< 27....

A: Given query is to find the polar coordinates.

Q: A house sells for $81528 at the end of 2010 and for $161637 at the end of 2017.   If the market val...

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Q: Find the radius of convergence and the interval of convergence. 2 K(k + 1) 1) First apply the Ratio ...

A: The given series is: ∑k=1∞xkk(k+1)...(1) So, ak=xkk(k+1); k≥1

Q: Volume of a Cube The volume V of a cube with sides of length x in. is changing with respect to time....

A: This question can be solved by applying the concept of rate of change of quantities.

Q: CAlculus in Context #3 Math 113 Chapter 3 How does our understanding of derivatives give us insight ...

A: Hello  According to Bartleby guidelines we are supposed to answer only first question so  for rest o...

Q: х+1 3. J 25 – x²)3/2

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Q: e"; xo = 6

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: Put 8x=15tanw =[12×(15/8)³tan³w]/[5×15√1+tan²w] =(79.10/75)×(sin³w/cos³w)/[sec²w] =1.05sin³w/cos²w

Q: cos² x d.x 4 sin* x 2.

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Q: x+1 dx 3. (25 – x²)3/2

A: Solve by separate integral

Q: y - 3y + 2y = 3e + 2e2 %3D

A: Given: -The ordinary differential equation is, y''-3y'+2y=3ex+2e2x To find: -The solution of the giv...

Q: Determine (in ordered pair) the point of intersection of the lines 2x – 5y = 10 and 3x + 2y = 6.

A: Intersection of two lines- Intersection point will satisfy the equation of both lines .

Q: Part 2 There is an antenna on the top of a building. From a location 300 feet from the base of the b...

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Q: Activity x -1 a. Find lim f(x) if f(x)=. x+1 b. Complete the table of values. -2 -1.5 -1.1 -1.001 -1...

A: Limit  and function values 

Q: Vx dx 1+ Vx

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Q: Given: sin A= and A is in the second quadrant; evaluate the following expression. %3D tan 20 = 4V5 -...

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Q: Use the General Power Rule to find the derivative of the function. g(x) = V7- Sx

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Q: Find the equation of the tangent and normal line to the following curves at a given specified point....

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Q: cof z-csc z dx So 2cotzcosz

A: a detailed solution is given below 

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (E...

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

Q: 10 10 Evaluate 5x dx using the trapezoidal rule and Simpson's rule. Determine The value of 5x dx is ...

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Q: 1. (2x³y² + 4x?y + 2xy² + xy+ + 2y)dx + 2(y³ + x?y + x)dy = 0 %3D

A: note : as per our company guidelines we are supposed to answer only one question. Kindly post other ...

Q: Refer to the figure and find the volume V generated by rotating the given region about the specified...

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Q: integrate [7x ^ (- 2/3) + (x + 2) ^ 2] dx

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: 2. Verify that the infinite series converges 00 п a) E (:)" 6 n=0 00 n b) Σ-0. 6" n=0

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Q: What are the roots of the auxiliary equation corresponding to the DE 6y"+11y"-y'-6=0? Write the gene...

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Q: Integration by trigonometric integrals/substitution: (4-3 cos (x)) sin²(x)dx

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

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Q: sin° x Vcos x

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