Explain why the integral ex*dx is convergent.

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A: given acceleration a(t)=6t-24  

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Q: 6x+5x-1 lim X--1 7x-2

A: Topic = Limits

Q: Let 3z - 4x2 for z <0 3z2 + 3z forI20 | f(z) = { %3D ccording to the definition of the derivative, t...

A: Topic  =Limits

Q: = Z

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Q: Write the parabolic equation in standard form and identify the vertex, focus, directrix, and directi...

A: As you have asked multiple questions so I have answered first question as per the guidelines.

Q: secx dx csc x 4

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Q: 1. A girl has 6 bags, 11 dresses and 7 pairs of shoes. On how many different ways can she dress up?

A: NOTE: As per our guidelines, I have solved the first problem in the picture. If you want the answer ...

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A: Topic = Differentiation

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Q: 9-30 Determine whether the series is convergent or divergent. 20. S. f it is convergent, find its su...

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Q: Differentiate...

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Q: 21. 22. (D' + D - 9D' – 13D² + 8D + 12)y 0. Ans. y Ce+cze

A: We will solve the given differential equation.Below find the solution in the image.

Q: If a = [5,-2, 4], b [0, 2, -3], and c = [1, -2,1], find a xb.c -22 38 O(-2, –30, 10] 0.

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Q: Differentiate. A f(x) : В + Сех f'(x) =

A: Given  f(x) = AB+Cex f'(x) = dAB+Cex-1dx                       ∵1a = a-1

Q: Evaluate the following integral: x² (3 + 4x – dx

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Q: dx xVxt-8

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Q: Evaluate the following integral: 68 e2x + dx 2e* + 17

A: I am attaching image so that you understand each and every step.

Q: n° n=1 3n2 en Σ: 22n 2 2n + 1 n=1

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

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A: Make this equation first linear then solve by finding integrating factor

Q: x(х + 1)(х — 2) 54. у 3 %3 (x? + 1)(2х + 3)

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Q: At what points is the following function continuous? 6x tan 3x y = x2 +2

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Q: The size of a certain insect population is given by P(t)=400e population equal 2000? 011 where tis m...

A: Given that: Size of population at any time t, P(t)=400e0.1t

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Q: 7) In Problems 7 through 11 given f(x) and g(x) are Continuous and Differentiable EVERYWHERE with th...

A: Since you have posted multiple subparts question in this question which are not interlinked so i hav...

Q: X1 + 3x2 + 5хз + 7x4 3D 8 7x1 + 9x2 + 2хз + 5x4 3D 0 GAUSS-JORDAN ELIMINATION 2. 5x1 + 7x2 + 7x3 + 7...

A: We can rewrite the equations as follows:-    

Q: A parallelogram is formed by the vectors [1, 2] and [3, -4]. Find the area of the parallelogram. O 1...

A: Given query is to find the area of parallelogram.

Q: If y = x - 4x and x = V2r + 1, find dy/dt when t = 1= V2.

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Q: A triangular lot, where all its three sides have the same length, is to contain a triangular buildin...

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Q: Write the first five terms of the sequence: +00 11 ln n) n Determine whether the sequence converges,...

A: Given

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A: Solve for graph and plane. 

Q: 3, 4, 5, 6, 7, 8, 2, 10 and 11 A vertical plate is submerged (or partially submerged) in water and h...

A: The given question can be solved as shown in step2.

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Q: (2x+3)y'= y+y²(2x+3)^½ Linesr equation or bernoulli equation

A: 2x+3dydx =y+y22x+312

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Q: - ydx + x(Inx – Iny - 1) dy = 0, when x = 1, y = e %3D

A: Let's find. 

Q: 1. Suppose that v = (0, y, 0) is the velocity field of a fluid and let S be the surface defined by y...

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Q: Write the first five terms of the sequence: (7 ln n +00 n n=1 Determine whether the sequence converg...

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Q: 13.

A: y=tsint1+t

Q: Let f(x, y) = 6x – 2ry and the point M(5, 9). Among all unit directions, there is a unit direction (...

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Q: 9 lim + -8-+ I+8 1² + 7x –8,

A: limx→  -8-x+7x+8+9x2+7x-8

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Q: A ball thrown vertically downward from the top of a building at a velocity of 64 ft/sec hits the gro...

A: Projectile motion 

Q: Find the distance from the point (3, 3, 5) to the plane 3x - 3y + 3z = 5. Leave your answer correct ...

A: topic- distance of a point from a plane 

Q: The demand x is the number of items that can be sold at a price of $p. For x p" implicitly 7p+600, f...

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Q: In Exercises 9-26, find fx, fy, fx, fyy, fry and fyx- 9. f(x, y) = x²y + 3x + 4y – 5 10. f(x, y) = y...

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