Using exact differential equation, determine the solution of

Q: Evaluate the following integrals. 2x3 – x² + 2x – 2 dx r²(x² – 2x + 2) | | 1.

A: Since you have posted multiple questions which are not interlinked, i can do first question as per…

Q: I 3n O The region bounded by y = sin x and x- axis on the interval [-

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Q: 4. E+sec"x+1\dx

A: Solving the problem by finding the value of the integral.   NOTE :: As per our Expert guidelines we…

Q: I. Evaluate the following integrals. cln 2 #3. sec-(e")dx

A: integration using integration by parts method if it is helpful appreciate me.

Q: Find Duf at P. 1 1 f (x, y) = 5(4+ xy)3/2; P(3,4); i+ j и %3 V2 NOTE: Enter the exact answer. Duf =

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Q: 3n+1 6-1

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Q: A mathematical model for the rate at which a drug disseminates into the bloodstream is given by dx =…

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Q: 5. If two chords in circle O, MN and XY, intersect at P then ZMPX = 2( MX + NY). 6. If two chords…

A: 5. The given statement is false .

Q: The tangent line equation of 2x6+y4=9xy at the point (1, 2) is ... ....E Persamaan garis singung…

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Q: Evaluate: y6 sech(e™ny) tanh (e 7Iny)dy (A sech (y") + C -sech2(y7) + C 7 В -uch(7") + C (y?) +C D…

A: Given: I=∫y6seche7lnytanhe7lnydy   As we know from the logarithmic rule: (1). logaxb=b·logax, x≥0…

Q: Qeustion 1 Let f(x) = x³. 1. Choose right endpoints in the Riemann Sum to express the area under the…

A: fx = x3∫01fxdx =limn→∞1n ∑i=1nfxi ; where xi = in                                     1∫01fxdx…

Q: (r² – 25)5/2 2.

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Q: 8x2 – 5 dx (2 — 1)(4г2 + 1) 6х —

A: To sove the following integration by using partial fractions.∫6x-8x2-52x-14x2+1 dx

Q: sec“ x (Vtan3 x +1) dx (Vtan3, Px+1) 4

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Q: 8. [sin? x cos' x dx Ssin*

A: (8). Given: I=∫sin2xcos5xdx   As we know from the trigonometric identity; sin2x+cos2x=1 And The…

Q: 2 [ (e² + 1)² dx et

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Q: Let graph (x) as below: -6 Solution of lim f(x)is.... x→0* O -2 O 3 O -3 O 2

A: Consider the graph of f(x)

Q: The cost in dollars for removing p percent of pollutants from a river in Smith County is 72700p 100…

A: Given,            The cost in dollars for removing p percent of pollutants from a river in Smity…

Q: de Evahuale integ. w) partiar frac. calcu larors no

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Q: Determine if the improper integral converges or diverges. If it converges, find its value. In dx

A: Here we have to integrate the given problem.

Q: 4 ds = 1 2.

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Q: (-1)" (2n+1)! Given: sin x = En=0 x2n+1 for x e R 100 What is the exact value of the sum 2n=0…

A: The series given is: sin x=∑n=0∞(-1)nx2n+1(2n+1)!, x∈ℝ...(1) To find the exact value of the series…

Q: What is the area enclosed by the curver = 2 cos 30? Answer is in square units. Use two (2) decimal…

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Q: [ 3x3-2х2-4х-3 х2 (х2+x+1)

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Q: .. ...... .. .. ... .... The formula for the volume of a cone is given below. Find the rate of…

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Q: Let function f interpreted as a picture below. True statement for function fis ... Pernyataan yang…

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Q: Given the following power series, use Alternating Series Test to prove that the series converges…

A: We have to check for x=11 given series is convergent.

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 4, –4) and the vector component of v…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: - Evaluate the following integrals. 1 1. J x(9 – In² x}5/2 dx

A: To evaluate: ∫1x9-ln2x52dx Let, I = ∫1x9-ln2x52dx

Q: IV. Determine if the given is convergent or divergent. n Σ #2. (n² + 1)2 n=1

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Q: Determine whether the following series is convergent or divergent. Vn3 n=1

A: Given problem:-

Q: 2뉴 Consider an = n tan-ln" 1. Determine if the sequence {an} converges or diverges. 2. Is the series…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: True statement of f(x) = is x² – 1 1. O f(x) increase on the interval (-infinite, 1) 2. O f(x)…

A: We know that,  ddxuv =vu'-uv'v2 Where u'=dudx and  v'=dvdx

Q: Please

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Q: dy Find dz and simplify: y = 2534x²

A: we have to find derivative of the given function.

Q: Use AMNP, as needed, to complete the given parts. Part 1: Let h be the height of AMNP. Osino OcosO…

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Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+3k w = i+ 8j + 6k Find the…

A: As per given question  We are going determine the volume

Q: п(х — 2)" 3" (2n – 1)3 Consider the power series n=1 a. Show that the power series converges when x…

A: Given the power series  ∑n=1∞n (x-2)n3n (2n-1)3

Q: 1. y - x+ 4x - 5 S) - x - 3x 3. sC) - x'+ x- 4x'+ 3 4. Sketch the graph and find the relative…

A: Solution of the problem as follows

Q: dx (x2 + 1)(x2 — 2х + 1)

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Q: 3. 6x° cos (x*) dx

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Q: 2. Given: an = In(n + 1) – In(n) for n e N Determine if the following is convergent or divergent.…

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Q: The first derivative of y=cos(tan(x2-7x+1)) is... Turunan pertama dari fungsi y=cos(tan(x2-7x+1))…

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Q: | #(9 – In² x)5/2 dx I. Evaluate the following integrals. 1 1. -d.x x(9 – In? x)5/2

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Q: If substitution technique is used to solve the integral [(12.x+3x* )(10x² +x³ – 2)° dx then the…

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Q: x² + 2 (х - 2)(х2 — dx 2x + 2) **

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Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci. Show…

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Q: х2 — 6х + 9 dx V6x – x²

A: Given,           ∫x2-6x+96x-x2dx

Q: Q2) Solve the D.E xdy + (2y-x* + 3x)dx D %3D

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