Solve the area of the surface of the revolution generated by revolving the arc of the curve, x= y³ from y=0 to y=1, about the y-axis.

Q: (Choose from: a. Disk Method, b.Washer Method, c. Shell Method, d. Disk and Washer, e. Disk and…

A: 1. The bounded region is as follows: In this case the rotation is about x-axis, so, washer method…

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Q: ||F(t) × r"(})| ||r(t)||° Use the formula k(t) = to find k(t). r(t) = 11 cos(t)i+11 sin(t)j + 6tk

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Q: 2. Rewrite the following quadratic function in standard form, identify the vertex: f(x) = 2x + 12x -…

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A: The given series is ∑k=0∞-16k. To check convergence of the series we use ratio test. Suppose we have…

Q: 3) Given f(x) =-2x -2x-2, find the absolute maximum value over the interval [0,6].

A: We have to slove the above question and find absolutely maximum value

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A: f(x)=x3-3x2+4 Here f(x) is polynomial in 'x', (i) f(x) is continuous on [0,3] (ii) f(x) is…

Q: I = -2+3s z + 4 1. Consider the lines defined by the equations l : x – 2 = y – 1= and l2 : y = -1+ s…

A: Given:  l1= x-2 = y-1 = -z+42=tl2= x+23 = y+1 = z-2-4=s

Q: c) Determine a pattern for the value of the even, (2k)", derivative of f(x) at x 37T th d) Determine…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Solve the exponential equation. Express irrational solutions in exact form. (7/5) ^ x = 9 ^ (1 - x)

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Q: /3x+10 4 Evaluate lim x- 2- x2- 4x +4 А. 1 В. 3/8 D. -00 E. None of these C.0 B O D E O A

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Q: Given the function below find the value of f(-5). * [2x² + 1 if x -5 33 NONE OF THESE -78/25 O 51…

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Q: Use the identities cos 20 = 1 – 2 sin? 0 = 2 cos? x – 1 to help evaluate the integrals. | NOTE:…

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Q: Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0 <t < T L = ||

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Q: xe* хе dx. J (x + 1)2

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Q: Verify that the two planes are pārallel. -x + 6y + 2z = 7 x + 3y + z = 8 2. Find the normal vector,…

A: -x+6y+2z=7 ------(1) normal vector n1 for plane -x+6y+2z=7 n1=&lt;-1,6,2&gt;   or -1 i+6 j +2 k…

Q: 3. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: If f(x) and g(x) are continuous functions, then Sra)• g»] dx = [ f«x)dx• [ g(x)dx.

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Q: Consider the following function. f(x) = -x2 - 10x – 9 Find its average rate of change over the…

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Q: Evaluate the indefinite integral. cos x dx (sin x)27

A: Let's find.

Q: 5x 5y 7x²47 7x+7 • 0). Calculate div(F) and curl(F). (Use symbolic notation and fractions where…

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Q: Determine

A: We have to determine the given series is converges or diverges

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Q: (1 2. 14 Approximate | * -6) dx using 4 rectangles. It is approximatley : (If necessary, round to…

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Q: 4. Given that ! n+1 0.47199 determine the value of " +1

A: Here we have to find the given value.

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11

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Q: Consider the following. u = 3i - j - k, v = -i + 5j + 7k %3D (a) Find the projection of u onto v.…

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Q: Si la serie E, a, es condicionalmente convergente, determine cuál de las siguientes series es…

A: The series ∑n=1∞an is conditionally convergent.

Q: (b) f(x, y) = 3.03 + 3y2 – 4 ln y, a = 0, y = 1, dr = 0.01, dy = -0.01. since fa (x, y) = 3.3x-1+ 0…

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Q: Find the radius of convergence, R, of the series. (x + 6)" 6" n = 1 R = Find the interval, I, of…

A: Consider the power series           ∑n=1 ∞ an(x-a)n then , series convergent if x-a&lt;R , where , R…

Q: nd the average value of the function over the given interval. (Round your answer to three decimal…

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Q: What is the average value of y= cos x on the closed interval -13]2 (A) -0.085 (B) 0.090 (C) 0.183 D)…

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