Find the centroid of the region bounded by the graphs of the functions 1 y = 3 sin(x), y and x = and 9. touching the origin. The centroid is at (x, j) where = II 18

Q: Find the area of the surface generated by revolving the curve Y = 8/x, 2 < x < 7 around the -axis.

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Q: (1+cot 0) de sin ? e14 - cot?e

A: Our Aim is to evaluate the integral given below:-∫1+cot θdθsin2 θ4-cot2 θ -(i)

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Q: 1 -dx; 2x²-3x+2 1 - dx + 16 A+ ( - x) none of the choices Option 2 1 1 -dx (x - }) (x - 3) dx 9. Opt...

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Q: EX:- Show that f dw = VE Terfcb) -erf ca] (ntb dw = E [erfcb) -erfca)] (ngby. Sol:- 9. ē" dw 2. Ff c...

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Q: The following table shows the frequency of outcomes when two distinguishable coins were tossed 4,000...

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Q: 2 EX g. Evaluab..f. x.dA. whe. R.ia.the.rsgem.in.the frirst. R .quadrant..bounded.by.xy=16. Xa.8y.e....

A: ∫∫R f(x,y) dA = ∫∫R f(x,y) dx dy  Horizontal slide

Q: Let h(x) = f(x)g(x). If f(x) = –3x² + 2x – 3 and g(x) = –3x² + 4x + 3, what is h' (1)? Do not includ...

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Q: Use Green's Theorem to evaluate | F. dř, where F = (Va + 4y, 2x + 9) C consists of the arc of the cu...

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Q: 3.Determine the convergence of the following series. For a series replace sign, if it converges, Als...

A: a) ∑n=1∞15n3+2n

Q: Find the derivative of the function. Q(x) = V e8x + x %3D Q'(x) = %3D

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Q: around the -axis.

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Q: x² + 2x² + x lim X→-6 -3x²

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Q: 0.08e* Determine p' (x) when p(x) =

A: Quotient Rule of differentiation : du.vdx =u.dvdx+dudx.v deaxdx =a.eax dxndx =n.xn-1

Q: Evaluate O y°dx – x°dy, where C is the boundary of the region between the circles a? + y? = 9 and x?...

A: To evaluate the integral.

Q: Find the area of the surface generated by revolving the curve - 5x y = e x > 0

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Q: Use linear approximation to estimate f(3.85) given that f(4) = 5 and f'(4)= 6.

A: Given: - The values, f(4)=5 and f'(4)=6 To estimate: - The value of f(3.85) by using linear approxim...

Q: x. 200 sin 3x 43. lim x0 5x - 4x

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

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Q: 2 + 3 R + 8 k=1 8

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Q: According to the alternate form of the definition of the derivative, to compute f′(0), we need to co...

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Q: sin' eJ4 - cot e

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Q: What is f' (x) when f(x) = 5e4x? %3D Select the correct answer below: O f'(x) = 5e4* O f'(x) = 20etr...

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Q: A population is modeled by the differential dP equation dt 0.5P – 0.001p² The population is at equil...

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Q: Determine whether the series converges using the limit comparison test. 3k2 – 2k + 7 Σ 12k6 + k – 12...

A: We have to prove that the above series converges or diverges.

Q: Use any method to determine whether the series converges or diverges. VE 00 Σ k=1 + 27

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Q: Evaluate: dx, xV16x2-5 141 arcsec V5 |16| 1 arcsec V5 V5 V5 Option 3 none of the choices 14| 1 arcse...

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Q: ∫sin8 (3?) cos5 (3?)??

A: Find the what later to come on the symbols

Q: Suppose that a piston is moving straight up and down and that its position at time t sec is given by...

A: Explained below 

Q: Try to observe the graphs below : y = f(x): y= f(x) 2 y3f(x) y = f(x) 0. (a) (b) (c) (d) Activity: 1...

A: The objective is to solve the above question. 

Q: 1. Given the graph find y (a) f(-4) 6. (b) f(0) 4 (c) lim_f(x) X-4 (d) lim f(x) x→-4+ T ||► x 24 6 (...

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Q: Find the circulation of the fieldF = (x2 - y)i + 4zj + rk around V? + y?, the curve C in which the p...

A: Field F→=x2-y i^+4z j^+ x2 k^Surface S is cone z=x2+y2at plane z=22=x2+y2x2+y2=4So, f=x2+y2-4

Q: Find ∂U/∂T and ∂T/∂U when ((TU −V )^2)ln(W−UV) = ln(2) at the point (T,U,V,W) = (1,1,2,4).

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Q: A binomial probability experiment is conducted with the given parameters. Use technology to find the...

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Q: y. -4

A: topic - indefinite integral

Q: Evaluate each of the following: csch (2 sin 2x)dx V1-4x 1. 2. 3.

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Q: Graph the function along with secant lines AP, BP, CP where A = (0, 9) B= (1,7) C = (1.5,4.5) P = (2...

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Q: Evaluate the integral

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Q: The slope of the tangent line to the differentiable function f at the point (2, f(2)) is [(2+Ax)-f(2...

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Q: dx Maybe used: sin(x – y) : 1. JTV#² + x + 1 sin a cos y – cos a sin y

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Q: solutions. 1. S(7x³ + 4x²)dx e*dx 2. f 1+e2x 3. S(V1– cos x )dx

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Q: Find the first 5 terms of the following sequences and then write the sequence in list form. (– 1)" -...

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Q: For the function f(x,y,z) = In (6x + 7y + 4z), find fx, fy, and f,.

A: Given: f(x,y,z)=ln(6x+7y+4z)To find the fx, fy, and fzddx (ln x)=1x  

Q: For what value of a is the following function continuous at every x? a?x+2a, x22 f(x) = 12, x<2 Sele...

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Q: Arithmetic mean betwen A,B is9, And Arithmetic mean betwen 2A,4B is 61 So what is the value of a and...

A: Given query is to find the value of A and B

Q: 10.S vã csc(xvx) cot(xvx )dx

A: The given integral,      ∫x cscxx cotxx

Q: Question Let f(x) = 2x-1-3. Its inverse will have a domain of [-3, 0). Which of the following repres...

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Q: Calculate the gradient, Vƒ, for the following scalar functions (a) ƒ = xyz. (b) ƒ = x² + y² + z². (c...

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Q: Find a unit vector u in the direction of v. Verify that llull=1 v=(-5,-3)

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Q: sin²(x) + sin(x) dx To evaluate the using basic formula of integration (without using cos²(x) substi...

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