The given curve is rotated about the y-axis. Find the area of the resulting surface. y = x2 - 1 - In(x), 2 < x < 4 4

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Q: 7. ex-4e-3 dx x- A 2 x + + С 2 + С et В х+2 е х + О D х - 2 е * + С

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Q: Calculate the double integral of f(x, y) = x over the region D in the figure. Assume that a = 2, b =...

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A: Distance between two points (a,b)(c,d) is given by      L = d-b2+c-a2given points(3,1)(6,9)a.     L ...

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Q: (a) Sketch the region bounded by the graphs of y = x + 1, y = x2 – 1, x = 1, and x = 2. %3| %3D | (b...

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Q: 1. lim (4x – 7) 2. lim (x3- 2x² + x - 5) X-1 3. lim (x2 - x + 3)(2x – 1) X-2

A: 1. limx→04x-72. limx→1x3-2x2+x-53. limx→-2x2-x+32x-1 Note:     Multiple sub part are given, we are a...

Q: ead Aloud Find the perimeter of each triangle. Write the answer in simplified form. Markup 10. 9. Co...

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Q: Listed beow is the sales of cars (in millons) Year Price 2002 13.81 2003 10.80 2004 13.23 2005 13.72...

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Q: EX8 Find the area of he s had ed of fig show bolwo useng dxdy y = 1+x² x = 1 x = -1 - D x = y² y = –...

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Q: Suppose that f(x) = = (1 – vx) and g(x) = (x + 2). Find f[f (x) + g(x)] dx. %3D

A: We need to find integral value.

Q: find solutions of these differential equations: a. (xy^2 + y − x)dx + x(xy + 1)dy = 0

A: Given differential equation is (xy2+y-x)dx+x(xy+1)dy=0 Find the general solution of the DE

Q: 6. Suppose that the functions f and g and their first derivatives with respect to x have the followi...

A: a) fxg2x , x=1b) fx2+gx, x=0c) fx+gx, x=0

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Q: Write the vector shown below as a combination of vectors i and i shown above Vector = Note: In both ...

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Q: The solution of the integral is always positive number. Select one: O True O False

A: Given statement- The solution of the integral is always positive.   Integral:- solution of integral ...

Q: find solution of this differential equation:  y′ tanx sin2y = sin^2 x + cos^2 y

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Q: Assume that a demand equation is given by q= 7000 – 100p. Find the marginal revenue for the given pr...

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Q: Find the first partial derivatives of the function. f(x, t) = Vx In(t) 1 cln(t) 2Vx fx(X, t) fe(x, t...

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Q: 2x2+4x+4 Estimate the area of the curve y = 2 from x = 1 to x = 3 by using 5 rectangles and right en...

A: We find out the area of given curve usin Rieman sum where dalX=(b-a)/n where n is the number of rect...

Q: dv le2cos(sin¬{w) _ 4 dv dv= 4+ ecos(sin-(x) 1-x2

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Q: al Points and the First x A Lesson 3.4a Certify Mode Questi x O Guides BY SUBJECT - LibGuides x Stat...

A: A point x=a is said to be a critical point of a function f(x) iff f'(a)=0 A function f(x) is said to...

Q: What is the area of the region between the curve y = 3x² and the x -axis on the interval [O, b]

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Q: Consider the following table of values of f(r) = e". %3D 0.0 0.2 0.6 f(x) 1.0 1.22140 1.82212 (a) Ap...

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Q: Consider the function B(x) = xª (1 – x)* on 0 0. Absolute Maximum value (Hint: Your answer may depe...

A: B(x) = xa (1-x)b  B'(x) = xa ddx[(1-x)b] + (1-x)b ddx(xa)B'(x) = -xa b(1-x)b-1 + (1-x)b axa-1B'(x) =...

Q: 2. Evaluate. tham. fe lawing.integrals.after.r.cuening.the ereler.f.integratiom. a. siny 9 .g.coscx....

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Q: Find the areaof the shaded regian of the fing. shown below. y =1+ Area: -x=1 dA=d Xdy *Horizantal m ...

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Q: 8. Find a definite integral for the area of the region that lies inside the polar curve r2 = 8cos(20...

A: Here, given that the region is bounded by the curves: r2=8cos(2θ) &amp; r=2 which is

Q: 5. Construct a rearrangement of E = 1-+-1+.. whose sum is 5.

A: Solution is here

Q: 39. Find the value of a so that the function f(x)= xe" h = Te has a critical point at x = 3.

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Q: 1 dx O (1+ x)1/4 1.

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Q: The domain (over the real numbers) of the function f(x) = V5x + 63 is in the form of either (- o, A]...

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Q: solutions using Integrating Factors Found by Inspection a. ydx + 2(y^4 − x)dy = 0 b. y(x^3 e^xy − ...

A: A detailed solution is given below

Q: 10. S- 6x2-17х+25 -dx (х-1)(х-2)(*-3)

A: To solve:I=∫6x2-17x+25(x-1)(x-2)(x-3)dxNow,we need to first simplify the given expression,Let,6x2-17...

Q: Complete the following steps for f (t) = t³ – 6t² + 4 a) Find f'(t). b) Find the critical points by ...

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Q: xy+yz b) lim (xy2)-(0.0.0) x+y2+2

A: To find the limit: L=lim(x,y,z)→(0,0,0)xy+yzx2+y2+z2

Q: find deri vative gan -? () =

A: Given query is to find the derivative of the expression.

Q: Solve the inequality involving absolute value. Please explain. |x- 2| + 6 ≥ 12

A: Given query is to find solution of the inequality.

Q: 2. Find the area of the region enclosed by y = 3.5x and z 9-y. %3D 2- 1- 1234 5 6 7 8 9 -1 of Use ho...

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Q: Evaluate the integral. 8 sinh O 8 sinh c sin sinh 즐

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Q: tan (x) + 1 dx =?

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Q: solution using Integrating Factors Found by Formulas  xydx − (x^2 + 2y^2 )dy =

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Q: Vx + 9 dx dy The answer should be in the form ' S S(x, y) dy dx, where a < x < band 81(x) < y < 82(x...

A: We will evaluate the double integral.