Find the volume of the solid obtained by rotating about the x-axis the region under the curve y= from x= 2 to x= 6- X =

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A: Given query is to find the solution of the differential equation.

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Q: Find V. (F x G), if F(x, y, z) = 10ci +j+13yk and G(x, y, z) = xi + yj – zk. V. (F × G) :

A: To solve the following problem

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Q: 3. If f(x) = [ v19 +r² dt , find f'(3).

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Q: Solve the seperable differential equation 10yy' = x. Use the following initial condition: y(10) = 7.…

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Q: lim (1+ sin(18a))/(2«) (A) e? (B) eº (C) e18 (D) ∞ (E) 1 we the question carefully edited 8:11 PM /

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Q: 4) Compare your answers

A: answer is in next step

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Q: X= 6 The area enclosed by the curves Y= and y= 2x from x= 1 to x= e is 2) e +1 O 3) +1 O 4) 2-2

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Q: about the line, x- | (E'1) puo (!!)'(0) squiad %3D V= T RG) 3-X y= 2x+1 Idy 3 - 23. x- V= T 29 12

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A: Here's the solution... please have a look at it...

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Q: Find the distance from the point to the plane. (5,7,6), 10y +z= 0 The distance is

A: We can find the distance as below.

Q: Find V· (V × F), if F(x, y, z) = 3ei+ 4.xe®j – 2ev²k. V·(V × F) =

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Q: Express the limit lim E (4 cos (272;) + 6)A¤; [2, 4] over as an integral. n- 00 i=1

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Q: as (x*ty3) dx -2メydy =0 a.) prove if the given DE is exact or non -exact - Given DE b.) Find its…

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Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B=26°. (The figure is not…

A: Sine Laws : asin A=bsin B=csin C

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Q: Evaluate the following improper integrals. Tell whether it is convergent or divergent. dx

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Q: Find the particular solution determined by the given condition. F(x) = 3x2 - 2x; f(O) = 9 %3D %3D O…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: 3. For the given differential equation xy' – 4y = x*e* a) Find P(x) and Q(x) functions of a FOLDE.…

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Q: Evaluate the following improper integrals. Tell whether it is convergent or divergent. 1.

A: The given integral,     ∫1+∞dxx

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A: To find: Discribe the graph of the equation

Q: Find V x (V x F) if F(x, y, z) = 9xyj+ 6xyz k. V × (V × F) =

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Q: Find the series' interval of convergence and, within this interval, the sum of the series as a…

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Q: 10 10 f (x) dr=17 and | f (x) dr=12, then f (x) dr=5. A) True B) False

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Q: an +1 an +1 an + 1 Recall the Ratio Test which states that, if is a series with nonzero terms, and…

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Q: Write the sum in sigma notation. 4 3 1. +- 6. 6. 26 | ... 8. 10 12 52 3+n Ce tn an= fram T 26 26 3+n…

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Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

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Q: Solve the initial value problem. 4 y(x) = 4 sec(3.x) tan(3.x) ; y(7) = %3D 3

A: y'(x) =4 sec(3x) tan(3x)y(x)=∫ 4 sec(3x) tan(3x) dx3x=t,dx=dt3y(x)=43∫ sec(t) tan(t) dt     =43 sect…