Determine whether the series is convergent or divergent. n- 1 5n – 1 n = 1 convergent O divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

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A: Topic:- geometry

Q: Closure Find the exact value. 1. cos165°

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A: P(4≤x≤7) =∫4 7 p(x) dx                  =∫46x27 dx  +∫6723-2x27 dx

Q: derivative

A: We will find the derivative. 

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A: Given:      f(t) = t3 - 9t2 + 24t

Q: ) Σ (-1)" n = 1 00 (-1)**2 2) Σ n = 1 3) Σ sin(n) 3 n = 1

A: series are given, we have to the absolutely convergent series.

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Q: 3 If z= then: (2x² + y² )² ' dz az + y- -4z he dz dz + y- 4% az dz + x- y- = 4z az az = -4z

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Q: Obtain the solution using Integrating Factors Found by Formulas a.)  xydx − (x2 + 2y2)dy = 0

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

Q: Given: sin a= and sin B= , 0< a < and 0 < B< ! Find cos(a + B) 33/65 14/65 63/65

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A: topic - differential equations

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Q: In Exercises 9–18, write the function in the form y = f(u) and u = g(x). Then find dy/dx as a functi...

A: Note: as per guidelines I have to solve only 1 question so please repost question 38 in next window....

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A: Every function defined on a closed interval a,b must have a global maximum and a global minimum on a...

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A: the given function,     fx=-2x3+12x2-24x+15

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A: Given query is to find indicted angle.

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A: 4X^2+1 cannot be fractionised further

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Q: If s(t) = 10t – 15t2 – 60t + 5, represent the position of a particle traveling along a horizontal li...

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Q: Let f(x) = 2/x - x. a. Find all points on the graph of f at which the tangent line is horizontal. 1 ...

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Q: In Exercises 7–12, find the indicated derivatives. dr 8. if r= s - 252 + 3 ds

A: Topic:- derivatives

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Q: (х? + 2х + 3)(5—х) 10. g(x)= Зх + 2

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Q: H.W. 2 Let 71 = -2 + 1li, 22 = 2 - i. Showing the details of your work, ind, in the form x + iy: %3D...

A: z1 = -2+11i z2 = 2-i (z1 - z2)2/16 = (-2+11i -(2-i))2/16 = (-4 + 12i)2/16 = (16 -96i -144)/16 (z1 - ...

Q: Using Variation of parameters, find ui for the DE: y" – 2y' – 8y = 18e4* when Yc = Ce-2x + C2e4*. А....

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Q: Зх — у %3D 2 x + 2y = 10 x = 2, y = 4

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

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Q: 3.44 Given that F= x'ya, – ya,, find (a) $¸F·d1, where L is shown in Figure 3.30. (b) Ss(V × F) · dS...

A: The given problem is solved below in detail.

Q: Find the indicated derivative and simplify. y' for y = (2 + 7x- 9x²) ex y' =]

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Q: se the chain rule to find the derivative of f(x)=4√2x3+7x8 Type your answer without fractional or...

A: given f(x)=4√2x3+7x8 f'(x) = dfdx        =d42x3+7x8dxwktda+bdx = dadx+dbdx

Q: (a) Calculate the limit lim (z,y)→(0,0) x³ + y*' or show that it does not exist.

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

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Q: 13 5 Given: cosa = and A is located in the fourth quadrant; find tang. -5/3 -4/3 -5/4

A: Given that cosθ=35θ lies in 4th quadrantfind tanθ