Find the roots of the following equation x6 – x – 1 = 0 Using an initial guess of xo =1.5 ?

Q: Determine the partial fraction expansion for the given rational function. -8s? – 5x + 9 (s + 1)(s² –…

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Q: a a If f is an even function, why is f(x) dx = 2 f(x) dx? Choose the correct answer below. O A. a a…

A: Definite integration property

Q: dr J. (z+1)?

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Q: | (6+xvF)dx

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Q: A company has the following production function for a certain product P(x, y) = 27 x0.3 y0.7 . Find…

A: Given: So,        Px=∂ ∂ x27x0.3y0.7Treat y as a constant     =27y0.7∂ ∂ xx0.3     =27y0.7·…

Q: Find the area of the shaded region. 24) f(x) =x3 +2x2- 3x, g(x) = 0 -4 -3 -2 -1-1 4 -5 47 A) 12 81…

A: Topic = Area

Q: Find the area enclosed by the given curves. y = x°, y = 4x 4. O 16 2 8.

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Q: ou can compare using the Limit Comparison Test. Then deter 00 1 1 Σ C. and D. 1 n2 n3 n=1 n3/2 n=1…

A: We have to match according to the given information

Q: Find the limit. lim (arctan(6t), e-4t In(t)

A: See the details solution in below

Q: Write sigma notation. 5-25 + 125 - 625 +3125- 15625 The sigma notation is k = 1

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Q: Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13…

A: Let, x be the number of food cartoons and y be the number of clothing cartoons. Then maximize…

Q: Given the curve y = x´ and the line V = 2 – x_ Find the abscissa of the centroid * of the region…

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Q: 3) Find the sum of the first 12 terms of the geometric sequence-3,-6,-12,-24,..

A: We can solve as follows

Q: 3n3-2n2+4 6. Determine by the limit comparison test if Ln= n=D1 converges or diverges. n7-n3+2

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Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: Recall:  L=∫abr(θ)2+r'(θ)2dθ We have, r=7sinθ+2cosθ, a=0, b=π

Q: Find the slope of the tangent line to the curve 4x + lay- ly = 88 at the point (3, - 4).

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Q: H.W. 1. Find the arc length of the curve x = (y + 2)/2 from y=0 to y=1

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Q: A region in the xy- plane has a z-output given by the equation z = In(x?) + 2xy - e*y. Determine the…

A: the volume between the x-y plane and below the z-axis is given by V=∫x=∫y=∫z=dzdydx According to the…

Q: Find a formula for Sn, n > 1, if sn is given by 6 7 3' 5' 7' 9' 11 4 8 - Sn =

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Q: 1. The line segment from (1, –1,3) to (0, –3,1) forms a diameter of the sphere S1. Find the…

A: Given problem:- The line segment from (1,-1, 3) to (0, -3,1) forms a diameter of the sphere S₁. Find…

Q: For the following exercises, find the requested value. 50. If cos (t) = and t is in the 4th…

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Q: ssume that the two points (x1.y1) and (X2.Y2) lie on the graph of the straight line y = mx +b. Use…

A: here, i am providing my handwritten solution

Q: y 6- 7 fX) = x² +3 4 2 (2, 1) -4 -2 2 4

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Q: 2. cos x dx - 67

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Q: 10u +4 /ũ Find the most general antiderivative of f(u)

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Q: (2х - 9)4 dx

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Q: » / 13t – 41º + 4 dt = 6. (а) 1 - 5 Jū du: (b) dx = 4x3 (c)

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Q: answer

A: We will find the particular solution.

Q: (26) Denote the second Fourier sine coefficient on the interval [-L, L] by L A2 = / f(x) sin -L Show…

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Q: The solution of the differential equation below is dy = ky dx %3D

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

Q: of the following graphs represents a y

A: Function

Q: Find the volume generated by revolving the region bounded by y = - cos x and y = 0, from x= - 2x to…

A: Here, the curves y=-cos x & y=0 from x=-2π to 2π revolved about the x-axis.

Q: -3, Plot the point whose polar coordinates are (-). In the graph below, use the options to change…

A: Here, the given polar coordinates is: r,θ=-3,-π6

Q: 2 (b). y = (x – 3) VT. Determine the intervals of decrease and increase of the function

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A: Let's find.

Q: 8. Determine by the ratio test if 2n=1 (2n)! converges or diverges.

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Q: 3 4x Evaluate -dx. 4 2 x'-6 3 4x -dx = x* -6 4 (Round to the nearest thousandth.)

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Q: Let y = 3x2. Find the change in y, Ay when x = 2 and Ar 0.2 Find the differential dy when x = 2 and…

A: We have to find solution

Q: Find the exact value of (2-x)e- dr. 2

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Q: Cualuate indfin te ntaen Jett dt

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Q: Given the curve y = x' and the line y = 2 – x. Find the moment of R with respect to the y-axis М of…

A: Given problem:- Given the curve y = x2 and the line y = 2-x. Find the moment of R with respect to…

Q: Find all local extreme values of f(1) = 2 + 8x - 30. %3D | The FIRST local extreme value, moving…

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Q: / (22* + 3,/5 +) Calculate the indefinite integral: dz

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Q: Find the x- and y-intercepts for the function. x+1 r2+36 f (x) Enter your answers as points, (a, b).…

A: The given function is: fx or y=x+1x2+36   As we know that; To determine, x-intercept, we need to…

Q: 3. Find two elevation angles that will enable a shell, fired from ground level with a muzzle speed…

A: Solution: here we use the range formula

Q: 0Graph the following tu Pune

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Q: g integral. dx

A: Given query is to find the value of the integral.

Q: Using Long (Euclidean) division then decomposition into partial fractions x4 – 4x2 – x - 3 dx x² –…

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Q: 4. Find 2+1dt O V4x+1 O V16x? +1+v2 O 4/16x? +1 O V16x? +1

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Q: Find the domain, vertical asymptotes, and horizontal asymptotes of the function. x+7 f (x) x2 -49…

A: Find your answer below