Determine whether the series converges or diverges. 4n³ Σ n²-4 11=2

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A: Given fx=10 ex on the interval 0,3 The formula to calculate the area under the graph y=g(x) on the…

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

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Q: 1. In any polyphase system, the value of the angular interval between each phase is 120 degrees Must…

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Q: 8. If the graph of h(x) goes thro following statements are true fc

A: 8) y=h(x)g =h(x)This transformation only affects y-value.A(-16, 4)y(x=-16)=4, g(x=-16)=4 =2A' (-16,…

Q: Evaluate the definite integral. 18t (elst i+e¹j+t k)dt S (¹²¹ ₁+ (e-1) i-(¹-1) j+k els 1 - (e¯¹ − 1)…

A: Follow next step

Q: g expressions a. lim (2z - 1)(2-1)

A: Given : apply chain rule    find limit of about separately

Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 ≤ t ≤ 1. √((x-x) (y -…

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Q: 4) A degree 3 polynomial function, P(x) has zeros x 2, x = 1, x = m and a leading coefficient of 1.…

A: Here, the polynomial P(x) is of degree 3 and has three zeros x=2,1 & m and the leading…

Q: Calculate the work expended when a particle is moved from 0 = (0,0) to Q = (4,4) along the segments…

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Q: 8) Find the unit tangent and unit normal vectors T(t) and N(t) for r(t) = (t, t², t²).

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Q: Solve the system using Cramer's Rule. - 6x + 6y3z = 15 x - 2y + z = 7 4x5y4z = - 28 Find the…

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Q: Determine if the following series converges. If the series converges, determine if it converges…

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Q: 47-48 Find equations of the tangent line and normal line to the curve at the given point. 47. y =…

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Q: For a, b E R, calculate (ax + b)dx (x²+1)²(x²+4)*

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Q: What is the exact value of z? – y if (x, y) is the corresponding Cartesian coordinates of the polar…

A: Given that the polar coordinates (r, θ) = (-2, -π/3) We have to find x²-y² where (x, y) is the…

Q: Do not use a calculator for this problem. Find the x-value where the relative maximum of y closest…

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Q: 12x + 625 The average cost for a company to produce x units of a product is given by the function…

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Q: Find the period of y=-3cos(3.7x). Round your answer to 1 decimal place.

A: " Since you have asked multiple question we will solve first one for you. Please specify question…

Q: Dividing the polynomial P(x) by x-1 yields a quotient Q(x) and a remainder of 4.  If Q(-1)=3, Find…

A: P(x) =Q(x) (x-c) + R(x)when the factor is (x-1)R(x)=4P(x)=Q(x) (x-1)+4P(1) =0 +4P(1) =4

Q: The temperature in degrees Celsius (C) in Toronto starting on March 1** can be represented by the…

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Q: y² − 5y = x³ - e² +c where c is the of integration. Setting x= we have . Thus, we have y — 5y — ( —…

A: This is a problem related to integration. Based on the general formula we will answer the question.

Q: 5. Does the function f(x) = e2x - 2x have any points of inflection? Justify your answer.

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Q: Calculate[r₁(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt the product directly and then…

A: r1=9ti+3t2j+8t3kr2=t4k

Q: 6. The partial graph of g(x) is shown below. (x)8 76 5-4-3-2 -1 23 4 5 -2 |-6 and the point A' (-1,…

A: The partial graph of g(x) is given.  It is also given that, g(x)=-2f14x-6 and the point A'(-1 , 4)…

Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = 1 X+8,a=1 OA. P3(x) = -1/- x-1…

A: Use derivative for finding the taylor polynomial.

Q: An open box of maximum volume is to be made from a square piece of material, s- 12 inches on a side,…

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Q: Use Chain Rule to find ds given w = Vr² – 2y + z² and r = cos (st), y = -2s Int and z = s –

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Q: Solve the system using Cramer's Rule. - x + 2y = - 5 4x + 5y = 32 Find the determinant D…

A: D=-1245D=-1(5)-2(4)=-5-8D=-13Dx=-52-325Dx=-5(5)-2(-32)Dx=-25+64Dx=39Dy=-1-54-32Dy=(-1)(-32)-(-5)(4)D…

Q: c) Period d) f(990°)

A: Follow the procedure given below.

Q: F(rn) f(In) for f'(En)] For the function f(r)- tan(z), write Newton's formula as , 1 = In solving…

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Q: Which of the following are vertical asymptotes of the function f(x) = 5x(x-2)(x+4)² (x²-4) (x²-16)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 44. Find f(x) if f(x) = 1/(2 - x).

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Q: Find the Area bounded by: x = -y2 and x =y-2 %3D

A: This question can be solved using the concept of area bounded by two curves.

Q: In order to evaluate Vr2 – 10x + 29 dx, the correct substitution is Ox=-5+2 tan(t) Ox=2+5tan(t) Oa =…

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Q: Q1// Find the Area bounded by: x = -y? and x = y- 2

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Q: solve the following equation 2sin3x+sin2x+1=0, on the interval 0<x<2pi

A: 2sin(3x)+sin(2x)+1=0Let f(x)=2sin(3x)+sin(2x)+1 , 0&lt;x&lt;2πThe graph of f(x) is shown below:

Q: The particular solution of the following equation by using the D Operator y" + 2y' + 3y = -2x + 3

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Q: Begin with the Maclaurin (Taylor) series: cos r = 1 - 2! 4! 6! (a) Evaluate cos 0. (b) List the…

A: According to the guidelines, we are instructed to answer 1 question or 3 sub question,the others can…

Q: In the triangle below, BA=u and BF=v. Express each of the following in terms of u and v. a) CD b)…

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Q: Let f(x) = -0.4x² + 7x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

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Q: Solve the integral Sa 16 tani? 7+x²

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Q: roblem 5. A cup of coffee has temperature of 200 degrees Fahrenheit and is placed in a room that has…

A: Topic:- Newton law of cooling

Q: The minimum hourly wage in a particular country has grown over the years, as shown in the table. a)…

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Q: Find the Taylor polynomial of order 3 generated by fat a. f(x) = In (x + 1), a = 7

A: The standard form of Taylor polynomial of degree 3 at a is given as: f(x)=∑n=0∞f(n)(a)n!x-an…

Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $34.08 per…

A: answer is in next step

Q: By total differentiation, determine or find the approx. change in the length of the hypotenuse of a…

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Q: TC=575+2Q

A: ANSWER Is in next step

Q: Evaluate the definite integral. 12 dx 25 + 2x 2

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Q: IL The Hiker You are planning a 20-mile hike in the Cascades. The guidebook provides you with a…

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