Use the Ratio Test to determine whether the series is convergent or divergent. Identify an Σ n = 1 (-3)^ n² X Evaluate the following limit. an + 1 ³+¹| lim n→ co a n X

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A: We have to find v and a.

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Q: 45. a¹ + a²2=0

A: Find roots

Q: Evaluate_lim_ (√9x² − 5x +1+3″

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Q: inverse function

A: Given, y=cos-1sin 6x

Q: 5. Write the given number in the polar form 2+2i a) -√√3+i b) (1 + i)18

A: A detailed solution is given below.

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A: We can find Gross pay .

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A: Disclaimer: According to guidelines we cannot provide you with handwritten answers  Here is the…

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Q: f(x) = 4x² x²+49

A: Locate the possible asymptotes and intercept/sfx=4x2x2+49

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Q: Solve using integration of parts:  ∫x2 cos x dx

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Q: B: Evaluate the following: r (4)r (²) 1-

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Q: Find a value of h for which y 3.0 2.5 2.0 1.5 1.0- 0.5 0.5 ƒ(2 + h) − ƒ(2) h 1.0 1.5 = 0. f(x) 2.0…

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Q: Let f(x) = 5 x - 4 Evaluate the limit: lim f(x) x →4 = 40 x² - 16

A: We can find the limit as below.

Q: Find the real value(s) of x that verify the equation √x + √(x+2) = 0

A: The given equation: x+x+2=0 To find the real values of x that verify the equation.

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A: To find the intervals on which f is increasing:

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Q: Question Find the equation of the horizontal line that contains the point (–9, 1). Provide your…

A: We can find the answer in the below steps.

Q: Find the derivative, but do not simplify your answer. y = (x² + x + 2)(√x - 2√x+3) y' = Need Help?…

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Q: хр (DZUIS-(x87 sex =h П ћp pul

A: We can find the required answer in the below steps.

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A: Given:The single-lane street is 10 ft wide.The radius of the semicircular tunnel, r=9 ft.We need to…

Q: 5. Use derivative rules to find the derivative of h(x) = 3f(x) - 2g(x) - x² f(x) + Show steps for…

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Q: I.B. Sketch the graph of a function f satisfying ALL the given conditions. ● • f(-4)= -2 ● The…

A: Information                                             Graphical interpretation

Q: 3. f(x) = tan(sin x²) 4. y = log2 (5x³− x² + 1)

A: Given functions are  a. fx=tansinx2b. y=log35x3-x2+1 We have to differentiate both of them.

Q: 3. Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 - 3x] + x, " x-2 Determine if…

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 EPIC Does not exist 02 0…

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Q: evaluate the determinant, given that a b de c e f h i 9 '|| -6

A: We know that if all element of any row is added to the corresponding element of any other row then…

Q: + COE 201 Assignment No. 1 I. Answer the following questions in a ½ crosswise yellow paper. For each…

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Q: 6 5 4 3- 2 -6-5-4-3-2-1 1 -2 | || 서 3456 -3- -4 -5 6 1 2 3 4 5 6

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Q: I cannot visualize this question. Could you please draw a graph and label all the critical points…

A: Given: First water level rose faster and faster, then rose more but slowly until it reaches its…

Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). 9842722 K= X

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Q: Matrix multiplication 21 [4 3 = [₁ ²], B = [1/2 2 1/² ? L3 4 L2 1 1. Ex: Find AB if A =

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Q: An invoice for $120,700 dated May 26, 2014 for a shipment of furniture has payment terms 1.5/15,…

A: Concept Used: 1.515EOM = There will be 1.5% discount on invoice amount if the payment is made by the…

Q: [2-3 57 A=0 1-3 0 0 2

A: Given matrix A=2-3501-3002

Q: Identify and sketch the domain of f(x, y) √x-y In (1 + y - x²)

A: ,

Q: 2x + [2x] ate lim x+ 2+ x²+x-2 and lim x+ 2 2x + [2x] x²+x-2

A: Topic:- calculus

Q: Evaluate_lim_ (√9x² − 5€ +1+3″).

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Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 and lim x+ 2 2x + [2x] x²+x-2

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Q: Use Secant method to find the solution of e-2 – – sin r + 2 = 0 accurate to within 10-5. Take po =…

A: The given equation is e-2x-x-sinx+2=0 and initial conditions are:p0=0.5 ,p1=1.0 The formula of…

Q: Find the homogenous liner equation  y = x2sinx + e5x

A: Given, y=x2sin x+e5x

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Q: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) (ii) (1)…

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Q: The rate at which the total average number of COVID cases is increasing at x=20 tents and dx/dt=2…

A: The given area is 21,600 square meter. One third of the area will be used to plant mango tree. The…