Determine whether the sequence is convergent or divergent. If it converges, find the limit. S(3(n – 1))! (3n + 1)!

Q: Solve the following problems, Write your solutions and answers in a sheet of paper. 1. A crcular…

A: Area of circle A=πr2a)r=32 cmPool area =π r2                 =π(322)                 =1024π  cm2The…

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A: To find,  d2 dt28 cos2(t)

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Q: 2.x h(x) = 5x3 + 6 Select the correct response: 8.x3 15x2 +6 10x + 48x (5r + 6)2 10. + 6x® 5x3 + 6…

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Q: Using "Numerical Differentiation (Backward Finite Difference)" Problem Solving f(x) = 2cos (3x-2)…

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Q: d/dx integral from e to x^3 ln(t^2+1)?

A: If Fx=∫b(x)axf(t)dtthen dFxdx=ddx∫b(x)axf(t)dt=faxa'x-fbxb'x

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Q: tan x d. y = sec? t dt 3 е. y = dx 1— х2. its

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Q: 10 The conic whose equation is x 2 + y 2 = 36 is a point-circle a circle an ellipse

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Q: Write the center of the circle x 2 + y 2 - 6x + 10y - 2 = 0 (-3, 5) (3, -5) (6, -10)

A: Centre of circle

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Q: Question 8 of 10 v(x) = 4 cos(sin(3x)) Select the correct response: –12 sin(3x) cos²(3x) -12 cos(3x)…

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Q: Find the graph of the equation 9x 2 + 25y 2 = 225.

A: Here we have to graph the given equation 9x2+25y2=225

Q: e the given graph of the function ƒ to determine the type of discontinuity at each æ-value.…

A: Given problem:-

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Q: 4+x a) lim- 1+(3+ x)

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Q: Write the general equation for the circle that passes through the points (- 5, 0), (0, 4), and (2,…

A: Given -5,0, 0,4, 2,4 To find general equation of circle:

Q: The best method for finding the antiderivative of / V5 – x²dxis | integration by parts algebraic…

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Q: Find the curvature of ƒ(x) = ln cos x, < x < 2 -- 2°

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Q: Write the radius of the circle x 2 + y 2 + 5x - 4y = 0. √(29) √(41) √(41)/2

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Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r?h. (a) Find a…

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Q: Use double integration to find the volume of the solid bounded by the cylinder x? + y? = 64 and the…

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Q: 9. Find the equation of the tangent plane to f(x, y) = x In(y) + x²y+3 at the point (x, y) = (2, 1).…

A: We have to find the equation of the tangent.

Q: 5. Suppose a is a positive real number. Determine the area of the triangle enclosed by the lines y =…

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Q: FindS( 3x* – 2x³ + 4x² – 5x + 2) dx -

A: Given; I=∫3x4-2x3+4x2-5x+2dx   As we know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule;…

Q: Determine whether the series converges. If it does, find the sum: SUMMATION from n = 0 to infinity…

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Q: a · Va? +1 dæ: 3 Consider the indefinite integral This can be transformed into a basic integral by…

A: We have to find the given integral.

Q: Fin volume of the object formed by rotating f(x)=1/x about the x-axis on the domain 1<x<infinity.…

A: We have to find the volume of the object.

Q: 4. Use limits to determine the values of a and b that guarantee the function below is continuous.…

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Q: 1. For the shaded region shown, determine the following using vertical strip: 5 a. Area x= 2y - 3 4…

A: The given equations are: x=2y-3 and y=x-22-12. Fromx=2y-3, we get: y=x+32. Plug this into the other…

Q: Q11. Suppose z = f(x, y), x = g(t), and y = h(t) satisfy: h(7) = -2 h'(7) = 1 f-(2, –2) = 2 fy(2,…

A: Suppose z=fx, y, x=gt, and y=ht satisfy: g7=2, h7=-2, fx2, -2=2g'7=-3, h'7=1, fy2, -2=0By using the…

Q: 2x4 h(x). 5x3 + 6 Select the correct response:

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Q: Determine the value of 4A+10B if 8x2 + 18x + 6 A Cx + B (x – 1)(x+1)2 x - 1 (æ +1)2

A: Simplify and take the suitable value of x such that A , B &amp; C can be calculated easily.

Q: 1. Let f(r, y) Find: I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1,y)

A: Let fx,y=x-yx+y+1. Finda f2,1b f1,2c fa,ad fy+1,y

Q: Find the gradient of the function at the given point. w = x tan(y + z), (14, 11, -6) Vw(14, 11, -6)…

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Q: 1. Let the matrices be 0 41 -1 2 2 6. [o 21 C = 2 4 li 3 -5 -31 A B =|-5 2 4 %3D 3] 5 41 1] D =|-4…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Let ü = and v =. If üxi = then determine the value of 3A+B+C. Yanıt:

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Q: In Exercises 1-3, find the general solution of the differential equation specifie lip 2. dt 1+t

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Q: To evaluate the integral xe2" da using integration by parts, the best choices for u and dv are: u =…

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Q: Consider the indefinite integral 26 dx: (x7 + 6)"

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Q: @ d(uV)- udv +vdu V du-udv prove the following du O dlnu)= #an dhan'v)= dv

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Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: corresponding limit after changing the order of integration  here y = z so only this limit is change…

Q: Draw the Root Locus curve for the equation s (s + 2) (s + 3) + K (s +1) = 0.

A: We have to draw the root locus curve.