Determine whether the series is convergent, absolutely convergent, conditionally convergent, or divergent. (-1)"n n2 + 6 n = 1 O convergent O absolutely convergent O conditionally convergent O divergent

Q: a. Use the substitution u = e and partial fraction decomposition to derive the following integration…

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Q: 2. Evaluate the following definite integrals: S dx -22-x b. S32 sinx dx а. С.

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Q: Y thenumber of Limits of. E -63? gontric k series Skz Ak=7 B に2 6 Ok26 No if the above.

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Q: (c) Determine whether the following function continuous at point (1, 1). Justify your answer. (x²-xy…

A: To determine whether the following function is continuous at the point 1, 1.fx, y=x2-xyx-y  if x,…

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Q: how did you arrive at x=34

A: Apologies for the inconvenience. Here is the correct solution:   The given profit function is:…

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Q: (In billions of dollars per year) can be modeled D'(t) = 841.51 + 815.24t- 189.51?+19.16t where t is…

A: Given

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Q: 5n+5 Determine whether the series Ln=1 n+1 is convergente or divergente.

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A: The given vertices P-2,3,0, Q2,1,-3, R1,0,1 and S3,-2,3

Q: a) Find the fifth term of the sequence 16 31 46 61 9. 15 21' 27 b) Find the general term of the…

A: See the answer below

Q: 28 74.6

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Q: A distributor purchases industrial fans for $175 each. Its profit is 8.00% on selling price and…

A: Given: Mark up is 30% on the selling price. Hence selling price = 175 / (1 -30%) = $250

Q: a) Find the fifth term of the sequence 16 31 46 61 15' 21' 27

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The value of the integral I= 3 dx is required in the development of the normal probability density…

A: I=∫-∞∞e-x23dxI2=∫-∞∞e-x23dx∫-∞∞e-y23dyI2=∫-∞∞∫-∞∞e-x23e-y23dAI2=∫-∞∞∫-∞∞e-x2+y23dA

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Q: Let P be a plane in space and let v be a vector. The vector projection of v onto the plane P,…

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Q: Solve the initial value problem +3y , 0>0, y(1) = -5. de

A: To solve: θdydθ+3y = sinθθ2, θ>0, yπ=-5 ⇒dydθ+3yθ = sinθθ3 This is a linear differential equation…

Q: 2. Let A = (1,0, 2) and B = (6, -2, 3). Solve for proja B. %3D

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Q: Let a > 0 and let R be the region under the graph of f(x) =  √(9 - ax) and in the first quadrant.…

A: Points of intersection:y=x =9-axx=9-axx+ax =9x=91+aPoint (91+a, 31+a)

Q: (1–3)* (t³ -8) t + 2 4. 2-t

A: Given problem:- y= (1-3)5(t3-8)/(2-t)  To find:-  find derivative of given function

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A: Using product rule of Differentiation we find the derivative of given function.

Q: Bones from the skeleton of a fish have lost 30 percent of their carbon-14. Note that for carbon-14,…

A: Formula  Given  k = 0.000124 It lost 30 percent of carbon  The left is 70 percent

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Q: For the functions f(x) = xeX %3D 1. The minimum value of the function occurs when x = 2. A point of…

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Q: Answer 2 only

A: Solved below

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A: Given ,  The vector v with initial point (0, 0) We have to write v in the form v = a i + b j where…

Q: eight The height of a building is 170 feet. Find the angle of elevation (in degrees) to the top of…

A: Use trigonometric ratio to solve

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Q: 1 5. Find y" of y= sin 3x

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Q: 2. What is the extraneous root of 2 log3(x + 4) - log3(-x) = 2?

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Q: Find the length of curve y In (secx) from x=0 to x=

A: See the answer below

Q: Let a = ci +j and b = 9i + 12j. Find c so that the angle between a and b is %3D Round your answers…

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. y =…

A: Given the equations are y = x32 y = 6x

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: 5-e xp 2x 2x e du= 2e2x

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Q: Use an improper double integral to find the volume of the indicated solid. 2--(* + y)/9 Osy<co 8 6 4…

A: We need to find the volume of the given shape.

Q: The position of a particle moving in a straight line is given by s() =- 8² + 28r, where s(t)…

A: Solution )  s(t) = t3/3 - 8t2 + 28 t  Differentiate with respect to t   v (t) = s'(t)  = 3t2/3 - 8×2…

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Q: Use the Definition of a Definite Integral or Theorem 4 from Section 5.2 to find the exact value of…

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Q: First four terms of the sequence n2+3 n 1+8 n are: 4 10 79 28 9 17 75 33 none 4 10 18 28 9. 17 25 33…

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