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Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 3ky + k² = 0 and ...

A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line x=...

Q: Beginning 29 miles directly north of the city of Hartville, a boat travels due east. The boat is tra...

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Q: x* + ах — 2bx — 2аb — хз — 2ах* - 2bx? dx х4 + аx3 — 2bx3 - 2аbx?

A: I=-∫ x3+(2b+2a-1)x2+(2b-a)x+2abx2(x2+ax-2bx-2ab)dxI=-∫ x3+(2b+2a-1)x2+(2b-a)x+2abx2(x+a)(x-2b)dxPerf...

Q: Find the area of the surface obtained by rotating the curve y = +, 1<1<2 about the y-axis. (a) 7(4 +...

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Q: -In 2 e* dx 3 (e2x + 8e*+ 7)2

A:      ∫0ln2exe2x+8ex+732dxLet u=ex.=∫121u2+8u+732du=∫121u+42-932duLet v=u+4.=∫561v2-932dv=∫\arcsec53π...

Q: a) an en 3n

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Q: Determine the set of points satisfying the condition described by Iz – 2i| + |z + 4i| express in the...

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Q: Identify which below is a separable Ordinary Differential Equation 2xy a. y': х(у — 1) — у dy _x+ y ...

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Q: 1. FIND THE AREA BOUNDED BY THE CURVES X= 2Jy and y %3D

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Q: S tan bxsec³bxdx

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Q: Consider the points A(3,-3, 3), B(4, -5, 1), C(-2,-4, 1), and D(6,3,-5). (a) Find the volume of the ...

A: Given: A(3,-3,3) ,B(4,-5,1) ,C(-2,-4,1) and D(6,3,-5)

Q: 1 The time to failure, t, in hours, of a machine is often exponentially distributed with a probabili...

A: The probability density function is: f(t)=ke-kt, 0≤t&lt;∞ where k=1a and a is the average amount of ...

Q: 9— е2х dx a.

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Q: Evaluate f 1+cos 4x dx 1-cos 4x

A: To evaluate the given integral.

Q: 3 dx V9 – x2

A: We know that, ∫dxa2-x2=sin-1xa+C   ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying t...

Q: Q. The curve y = v4 – x², -1 <x<1, is an arc of the circle x? + y? = 4. Find the area of the surface...

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Q: How-2 Find Zxx if Z =frusv),u = xy,V=2xy Ex PresF とhe anfwer in termo ofXッリZu, Zv

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: solve using Integration by Parts Trigonometric Integrals Trigonometric Substitutions

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Q: . Determine an equation of the line of intersection of the planes 2r - y + 3z = -1 and x+ 4y – z = 2

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Q: x dx

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Q: 2 cos 0 de V1 – sin 0

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Q: 4. Find . d?y of the functions x = 1+ cost and y = 1– sin t. dx2

A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint ...(1)y=1-sintdydt=-c...

Q: dx -2 3 (5-4x- х?)2

A: Let's find. 

Q: | In|Vi + 1| dx

A:

Q: Lof the function a(t) - (2n2+2

A: We have to find the antiderivative of the given function

Q: T/2 S sin? x cos5 x dx

A: Topic = Integration

Q: Find S z? sin z dz

A:

Q: (a) lim tanh(x) (b) lim tanh(x) (c) lim sinh(x)

A: As per our guidelines, we are supposed to answer only the first three subparts. Kindly repost other ...

Q: 2. Scientists can determine the age of ancient objects by a method called Radiocarbon dating. The bo...

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Q: dx Evaluate J 2/4+x²

A:    ∫1x24+x2dxLet x=2 tan u.=∫secu4tan2udu=14·∫secutan2udu=14·∫cosusin2uduLet v=sin u.=14·∫1v2dv=14-1...

Q: Find S z? sin z dz

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Q: ( a) Σ-1"+1, 2η+2 Vn3 + n2 + n n=1 ,2η n2n (b) en3 n=1

A: Given

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: EVALUATE THE FOLLOWING INTEGRALS: (BY PARTS OR TIC TAC TOE METHOD)

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Q: How Find 32¢,32¥ ana E and d2f fer the functions: xre ahe |- Rex,y) = = tan (メャッ) 2- fCx,y) = xy + c...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(4,6, 1). NOTE: Enter the exac...

A: Area of triangle is half of cross product of adjecent side of traingle.

Q: Find the standard form of the equation of the ellipse and give the location of its foci Type the sta...

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Q: Find for w = , x = 0', y =r+ 0, z = r – 0 2r2 27 2r 272

A: Given query is to find the derivative.

Q: 1+cos 4x dx 1-cos 4x Evaluate

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Q: Find the real zeros of each polynomial. 11. f(x)=x-2x2-5x+6 12. f(x) =x' +2x'-12x-40x-32 13. f(x)=x'...

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Q: Vx - 2 dx xi(Vĩ + 1)

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Q: f (x) If lim f(x) = 12, and lim g(x) = 3, what is lim Xc Vg(x) А. 1 В. 2 С.4 D. undefined The Limit ...

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Q: arbitrary

A: We have to eliminate the arbitrary constants from the given  function

Q: Find the derivative. y = arctan(4 tanh(x)) y' = Need Help? Read It

A: differentiate y with respect to x. to get the results.

Q: 2 cos e de 2 V1 – sin 0

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Q: 1. A Norman window is constructed by adjoining a semicircular window to the top of a rectangular win...

A: According to bartleby guideliness we can answer only the first question.kindly repost the other ques...

Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index ...

A: This question is based on summation problem.

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

Q: first prove that ()" <n! < ()" forn2 6.

A: We will prove                        n3n≤n!≤n3n for n≥6.