Find the first six terms of the sequence, starting with n = 1. an = 6 + (−1)n for n ≥ 1

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Q: 2. S csch-x coth x dx

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Q: xp xy6x -x

A: The given integral ∫1x6x-x2dxThe integral formula,117. ∫duu2au-u2=-2au-u2au+C

Q: $81,000 business can be purchased by making a down payment of $16,000 and ancing the balance with a ...

A: Given query is to find the time taken to paybthe loan 

Q: (т — 3)" - Determine the interval of convergence of 2n +1

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A: If coordinates of f(x)= (x,y) then  coordinates of inverse of the function f(inverse)(x) = (y,x)

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A: To destroy all Hamilton cycle it is enough to make degree of any vertex one.   Hamilton cycle means ...

Q: 2e* Evaluate: Jo 2ex-1 dx. A) B) 1 C) D) 1. E) The integral diverges. O A)

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Q: an+1 Jse the ratio to determine if the sequence {ne} is strictly increasing or strictly decreasing. ...

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 csce = 5/3 5/4 -5/3 -5/4

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Q: Suppose f(x) - 6'Vi+ť' dt. 1) Evaluate / (2).

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Q: 3. S(x) = (x²/3 – 1)²

A: Given that fx=x23-12c. if f'x>0 then function is increasing.if f'x<0 then function is decreasi...

Q: (a) If $2,300 is borrowed at 7.5% interest, find the amounts due at the end of 4 years if the intere...

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Q: Use Stokes' Theorem to calculate rot F dS, where F = ri + yj + rk and S is the surface given by the ...

A: This is a problem of vector calculus. By using stokes theorem formula we will evaluate given integra...

Q: Using Figure 4, complete these functions. P(-20, 21) a Figure 4 cose = -20/29 21/29 -21/29 20/29

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Q: formula

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Q: From the top of a cliff 426 feet high, the angle of depression of a ship is observed to be 18. How f...

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Q: 8. What is de x2+1

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 14 + sin(14xt) ...

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Q: Use the graphs to evaluate the expressions below. |f(x) 8(x) 4 4 -1 2 3 4 5 6 -1 1 2 3 4 5 6 f(g(4))...

A: Solving the problem by finding the values from the graph.

Q: 一站 Page > of 3 2. (b) of nonzero vector v is The directional derivative off (x, y) at the point (co,...

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Q: tan²(x – 2) +2 sin(x – 2)4 Evaluate: lim

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Q: is a function given by 2r2 + 3r +2 g(x) • 1² +2 bounded for all |r| 52. finition, show that f(x) = 3...

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Q: What is the area of the shaded region below? 16 -y = 2r² + 8 -y = x* NOT TO SCALE

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Q: graph of y = about the y-axis, where 0 <x s8. (Use symbolic notation and fractions where needed.) vo...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)*+1k! (2k ...

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Q: Question Define Q as the region that is bounded by the graph of the function g(y) = - Vy – 1, the y-...

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Q: 4.(a, b), (c, 0) 5.(2a+c, 2d), (2b-c, 2c)

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Q: a) Find the arc length function s(t) for the line segment given by r(t) = (3 – 3t) i +4t j, 0st<1 b)...

A: Answer: The solution is as follows:

Q: 4 x4 differentiable at x = 4. Is f continuous at x = 4?

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Q: The integral that represents the arc-length of the curve y = In x, xE [2,3] is: %3D 3 x2+1 dx. Vx2+1...

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Q: Describe the transformations in each graph. Sketch the graphs of the following functions by hand, us...

A: a) The given function is: f(x)=-2 cos 3x-π3+12

Q: A loan of $36,000 at 3.58% compounded semi-annually is to be repaid with payments at the end of ever...

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Q: Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1...

A: We expert are following guidelines.We are supposed to do first question. We have to find dy/dx  

Q: Consider the function f :R →R given by f (x, y) = e* In(1+ y) Find Vf. What is the rate of change of...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x f(x) = 1 + x+ 4...

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Q: 3. Find dx dy d²y and y 1+t and if x = %3D dx2 1+t

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Q: 5 on the interval [-4,4] x3 Find the average rate of change of g(x) = 3x2 +

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Q: The graph shown below is f(x) = x2. If g(x) = f(t)d t, find g(3). AY 8 6+ 21 X 4 O g(3) = 9 O g(3) =...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) = %3D MastarIt

A: Given