Express the series using sigma notation 6m + 3m + 0 + (-3m) + (-6m)... E-3bn +9b E-3bn – 9b E-3bn +9b n-1 5 E-3bn - 9b n-1

Q: Determine the values of a, b, and c for Ax) = ax + bx+c so that f") = 6x- 3 and A2) = -1.

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Q: Use the Divergence Theorem to find the flux of F(x, y, z) = (x³ – e")i+ (y³ + sin z)j+ (2³ – æy)k 3…

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Q: 22. Sketch the region bounded by f(x) = Vx -1 and g (x)=x-1 AND find the area.

A: Sketch

Q: Eliminate the arbitrary constants on the given equation: y= Ae" + Bre 2y +y=0 O y =-y" + 2g

A: To eliminate the arbitrary constant.

Q: Let f(x) = log2(x) and g(x) = cosx. Give the composite fog and go f, and determine their domains.

A: The given functions are: f(x)=log2(x) & g(x)=cos x

Q: 1 is convergent or 1) Use the Integral Test to determine whether the series divergent. ' (3n– 1)?…

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Q: Find Laplace Transform for 1- f(t) =te"; 2 - 3 – f(t) = e" sin 3t ; 4 | 5- f(t) = (2t+ 3e" +4sin 31…

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Q: O O O O For the differential equation (x2-4)y" + (x-2)y'+ 2y 0, a regular singular point is: O x-4…

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Q: I. Find the equations of the horizontal and vertical Tangents. x3 + 3x? – y? = 0

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Q: Mathematics

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Q: 1.Figure out the acute angle between the planes P : 2r + 2y + 2: = 3, : 2r-2y-z 5.

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: |Q1/ Find the transpose for A(3×4) matrix. Q2/ Add two (2×2) matrices and put result into new…

A: We have to find A' and A+B

Q: need

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Q: In two or more complete sentences, explain how to find the third term of the expansion of (2x+y)4.

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Q: 8. Amanda invests some money for her retirement. The account pays 9%/a compounded quarterly. How…

A: I have stated the used formula in the solution

Q: Rewrite the following equation in logarithmic form and use that to solve for the variable. Show all…

A: To solve for x

Q: } Consider the initial-value Question 2 ( problem y" + 4y = 5 sin 3t, y(0) = 0, y(0) = 3. (a) Use…

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Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

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Q: Let E be the region that lies inside the cylinder x2 + y2 = 64 and outside the cylinder (x- 4)2 +y2…

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Q: For some constant a, the following improper integral | (x2 – 1)e2xdx converges to converges to e2a…

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Q: fintthe XP COS ५: टे. 8 e

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Q: evail hupisuoɔ əui 8u the partial fraction decomposition for 5x² – 3 - f(x) (x³ – 4x²)(x² – 3x +…

A: We have to find out partial fraction

Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: here figure 1  is pependicular line because given that both intersect at 90 degree    in figure 2 is…

Q: Solve the second derivative(y") of the following

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Q: The following telescoping series [c0s" () - cos 1 COS COS in. n + n=1

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Q: 5 Find the eigenvalues of the matrix A = 2 -8 -8 = Enter both values separated by a comma.

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Q: 4.) f(x) = etinlx)+cos (x) 2+4x+4 5.) (x) = = 6.) S(x) = +r-s)(ar-7) 622-131+7

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Q: (-1) -1 Given the alternating series E Which one of the following gives n1 5+3n b? n+1 Select one:…

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation…

A: We have to find particular solution .

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: Consider the differential equation (x- 1)y" + y' = 0. By using power series so- lution about the…

A: Please see the below picture for detailed solution.

Q: Simplify the complex number. Express your answer in a+ bi form and include each step necessary in…

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Q: Using decomposition into partial fractions, 4x2 + 2 dx x(x2 + 2) is equal to In/x (x² + 2)| + C…

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Q: 3 y = Vx and y = x³

A: We have to find the area by using definite integral

Q: Using decomposition into partial fractions, 4x2 + 2 dx x(x² + 2) is equal to In|x (x² + 2)| + C…

A: Solution is given below:

Q: 2. Find the volume of tetraherdon with the vertices A(-1, 2,0), B(0,3,-1), C(3,3,0), and D(1,1,-1).…

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Q: The technique used to prove that x4 - 2x + 2/2tan-1 3 X + C 2. dx = - - x² + 2 is Long (Euclidean)…

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Q: 9- Find the coordinates of the absolute maximum an d minimum points for f(x)=2x²-x* given x €[0,4] :

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Q: 4- Determine an expression for dy/dx. 3(y-2)3– x= 4x - 6.

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Q: xArctanx - Invx² + 1 = y

A: Topic:- derivatives

Q: EXERCISES Solve the following differential cquations 1. =-sec(xy) Ans. sin x = +C dx 2x2 x +y Ans.…

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: Q3/ Find the limits 1. lim 2. lim Vx+2-1 X-1 х+1

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Q: Evaluate the summation (2i - 1)? - i=1 155 162 165

A: Topic = Algebra

Q: Find the nth term of a sequence 2,5,10,17,26, ...

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Q: In Exercises 5 through 18, sketch the given region R and then find its area. 5. R is the region…

A: The region bounded by the lines y=x, y=-x and x=1

Q: dy find the dx +Ince 义 9 = sin In Cl+e)

A: The given problem is solved below in detail.

Q: 3. Consider the parametric equations x = 1+ cos(t), y = -2+ sin(t), 0S <2M. 3.1. Find an equation…

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Q: The following series 08 2n Σ (-1)" 4n 3n+1 n=1 17 37 converges to converges to 20 the above O the…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: Find the volume by revolving the region of the curve xy = 6 from x = 2 to x = 4 about the x-axis.

A: Given xy=6        x=2 to x=4To find volume: