Which of the sequences converge and which diverge? Find the limits of each convergent sequence. 4-6n i. an = 2n4+3n³

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1…

A: A detailed solution is given below

Q: 1 3. The curved surface of a funnel is generated by revolving the graph of f(x) = x³ + on 12x the…

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Q: Find the solution of (x-2)dy = (3x² - 6x - y)dx given y(0) = 4.

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Q: Find the area of the sector of a circle with diameter 32 feet and an angle of 57 8 Round your answer…

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Q: Find, if y=3cose+cos³0 do, and x = sin³0

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Question 8 Match equation graph with its parametric equation. Not all equations will be used. All…

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Q: Let y = sinx, if y(n) = sin x then n =

A: This question can be solved using the concept of higher order derivatives.

Q: 1. Find the derivative of f(x). 3x³ 2x²-x-5 - (a) f(x) = √x (b) f(x) =

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Q: Example For alternative optimal solution Min 3x₁ + x₂ s.t x + 2x2 14 -x₁ + x₂ FI 22 ۱۲/ 2,9x270

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Q: 6. Suppose that for x2 1000, the dollar cost of producing a video cameras is C(x) = 500x - 0.003²…

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Q: I It ex 1-ex dx

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Q: Write an equation of the line that passes through (-5,1) and is parallel to the line defined by…

A: The line passes through -5,1 and parallel to the line defined by 5x+y=2

Q: Find y'. x³y² = x² + y²

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Q: Q2. Find the standard deviation for the data: 5,10,7,12,0,20 7

A: We have to find the standard deviation for the data: 5,10,7,12,0,20

Q: 3. The time in minutes for Sam's phone calls this week is listed below (9, 15, 5, 7, 9, 12, 11, 4)…

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Q: 1. xex² dx ·6². 2.52²dx answer: answer:

A: ∫01xex2dxSubstitute u=x2→dudx=2x→dx=12xdu=12∫euduWe know that ∫audu=auln(a)=euPlug in the solved…

Q: 55. The region in the first quadrant, which is bounded by the curve y² = 4x, and the line x = 4, is…

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Q: Solve the differential equation. dy = 3x²y² dx -1 3 x + c +c for y # 0

A: We have to solve the differential equation

Q: Help the students determine the dimensions of the can that will minimize the cost of the materials…

A: Above question is solved.

Q: Find the solution of e*tyy' = 3x given y(1) = 3.

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Q: 1. Evaluate the following integrals: dx -x² + 4x - 3 f) . dx (x - 2)√x² - 4x +3 S

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Q: 2 Express (5+1)² in polar form = O 3 [cos 67+isin 67] O 13 [cos 70+isin 70] O 3 [cos 70+isin 70] O…

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Q: Oe+1 ³ + ³ (₂× + ¹ ) ³ + ³ (₂² + ¹ ) { + (₂x + 1) { O ³ + ¾ ( 2 * + ¹ ) } − z (2* + 1 ) { − 3 (2+¹)…

A: We have integrated above question

Q: A. d²y dx² B. d²y dx² 4 + 7y=0 dy dx - 4y = 8e²x - 12

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Q: Question (3): Determine the absolute extrema of the function f(x) = x² + 2x - 4 in the interval…

A: Given :f(x)=x2+2x-4   [-1, 2]

Q: Vector is a real number (positive or negative). O True O False

A: To Check: Vector is a real number or not.

Q: Find the solution of (x-2)dy = (3x² - 6x - y)dx given y(0) = 4.

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Q: 35e7%dz =

A: Topic = Integration

Q: If y = 2x² then dy dx 11

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Q: Graph the logarithmic function. g(x) = 4log3 x Plot two points on the graph of the function, and…

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Q: 8. f sec² (3x - 1) dx

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Q: What is the exact value of cot(-870°)? 0-√3 0-1 01 O√√3

A: Use Trigonometric properties

Q: Which of the following is the graph of (x-2)(y-1)² = 12.257 17 19 & + 17 24 47 7 M -10 IN 2 D

A: Topic = Circle

Q: BA)Find normal line and parallel plane to the function f(x, y, z)=x√yz + 6 At point (-3,1,4).

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Q: What is the area of the largest rectangle that has its base on the x-axis, its lower left corner at…

A: To find the area of the largest rectangle with given corner points.

Q: 2π sin(30) de 5+cos² (0)

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Q: Question 2 Let F(x, y, z)= -2y7 + 2xj. Use Stokes' Theorem to find SF-d7, where C is a circle…

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Q: Area of a circle C. Use definite integration to show that the area enclosed by a circle of radius 1…

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Q: Consider the region R bounded by the curves y = 2 sin(2x) and y = 0 in the interval [0,] with a…

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Q: Rewrite sin(x+ 7) in terms of sin a and cos I. Enclose arguments of functions in parentheses. For…

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Q: 3. fx²4 dx 5. dx 3x² + 1 +x dx u= U= U= du = du = du = answer: answer: answer:

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Q: Sketch the region that corresponds to the given inequalities. 5x  −  y  ≥  0 x  −  2y ≤ 0 x ≥  0, y…

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Q: In the previous Problem Set question, we started looking at the position function s (t), the…

A: This question can be solved using the concept of first and second order derivatives.

Q: Use the given information to answer the question. The distances that an object falls varies directly…

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Q: Which of the following graphs represents the equation (x-3)=-4(y-4)7 0 0

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Q: State the interval(s) over which the function f(x) = √√x² + 10x + 25 is continuous. If there are…

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Q: if (1+i)(x+iy) = 2+4i then 5x is : * O 15 O 10 O 5 O 3 Let z be a complex number such that |z| = 4…

A: To find the value of 5x:

Q: A) Find the value of the following limits: x²-2xy + y² (1) lim x-y+2√x-2√√y (3) lim (x.y)-(11) lim…

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Q: Express In(z) in the form a + ib. (Simplify your answer completely.) z = -7 In(z) = n = 0, ±1, ±2,…

A: This question is related to complex functions, we will solve it using given information.

Q: ) Evaluate using the squeeze Theorem. lim 0² cos (-)

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