Does the sequence converge? If so, what is its limit? If not why not? ne-n nten n=1

Q: ow that a differentiable function f decreases most rapidly at x in the direction opposite the…

A: To find the direction derivative.

Q: Solve the following linear system by using Gauss elimination method 5x₁ + x₂ + x3 = 5 x₂ + 4x₂ + x3…

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Q: 06: b: dw (1) Find if dt w= w = tanx and x = 4t³ + t.

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Q: Sketch the graph of a function that satisfies ALL the following properties: ▪ lim f(x) = -2, lim…

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Q: Use the Table of Integrals to evaluate the integral. xdx S 2 x - 10x Select the correct answer. X -…

A: We have to find integration of given question.

Q: Suppose that f(x, y) = 2x + 3y and the region D is given by {(x, y) | −1≤ x ≤ 5, − 1 ≤ y ≤ 5}. D…

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Q: Find the first derivative of sin x y = In 1+2 In x x cot x-2(In x) cot x-2 x(1+2 In x) x cotx+2(In…

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

Q: 4. Express the integral as an equivalent integral with the order of integration reversed. 2√x (a) ff…

A: The process of switching between dxdy order and dydx order in double integrals is called changing…

Q: Pls help ASAP. Pls show all work.

A: Given, y=14 Aim : Find derivative

Q: Q2/A/ Prove cot² @ csc 0+1 + 1 = csc0 B/Find the value of c if f(x) is a continuous function at x =…

A: To prove the given trigonometric equation and  To find value of c for which function is continuous…

Q: Use Newton's Law of Cooling, T = C+ (To - C)ekt, to solve the problem (bonus) 11) A lasagna removed…

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Q: Use the Table of Integrals to evaluate the integral. 6 1 dx X 4x 7 Select the correct answer. The…

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Q: valuate the integral j√16-³ dx.

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Q: Evaluate the integral. (Use C for the constant of integration.) tan³(x) sec(x) dx

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Q: = √x Q3-Find the volume of the solid (x + y) bounded by y = x = 3 and

A: Follow the procedure given below.

Q: Given the function g(x, y, z) = x²y - 4zex+y, find the slope at P(1,0,1) in the direction of the…

A: Here is the solution

Q: Find the producers' surplus at a price level of p = $56 for the price-supply equation below. p=…

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Q: Which graph represents the function f(x) = x+1?

A: In this question we have to find which graph represent the given function.

Q: The base of a three-dimensional figure is bound by the semi-circle y = √4x². Vertical cross sections…

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Q: 2 Q41 x ² dy- (xy + y ² ) dx = o Q4\x

A: The objective of the question is evaluate the differential equation.

Q: Determine whether the series Σ1 is convergent or divergent. If it is convergent, find its 3n 4-1…

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Q: 35/ SEX √ 2 X-I d x

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Q: Determine the Cartesian equation of a plane that is perpendicular to the plane x - 2y + z = 6 and…

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Q: Write the inequality in interval notation and graph the interval. -5<x<5 The interval is 0

A: Use interval notation

Q: Prove that (AXB)×C=B(A • C)-C(A • B).

A: The solution is given in the next step.

Q: QUESTION 17 convex quadrilaterals can form a tilling of the plane. A. All B. Some C. No

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Q: 2.1 q h(q) 11 0.9 1.2 1.5 1.8 20 35 61 108 Estimate h' (1.5) using the table above. h' (1.5)~

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Q: Solve the following algebraic and trigonometric functions by parts. | a) [ x2cosx dx b) √ xlnx dx c)…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A: Explained below

Q: The base of a three-dimensional figure is bound by the graph y = sin(x) + 1 on the interval [0, π].…

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Q: Find the volume of the parallelepiped whose edges are represented by: A=2i-3j+4k , B=i+2j-k and C=…

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Q: Determine which numbers could not be used to represent the probability of an event. Select all that…

A: Here we have to determine which numbers could not be used to represent the probability of an event.…

Q: All computations in this section must be done by the definition of Taylor series (taking…

A: For (4), Given: f(x)=2x3+x2+3x-8. Now,          f'(x)=6x2+2x+3f''(x)=12x+2f'''(x)=12

Q: Sketch the region enclosed by the given curves. y 10 y = 7 cos(x), y = 7 - 7 cos(x), 0≤x≤* 1.5 2.0…

A: We have to find graph and area of it.

Q: Find the absolute maximum and minimum of f(x, y) = x + 3y within the domain x² + y² ≤9. 1. Absolute…

A: Here to use the lagranges multiplier to find the maximum and minimum value of tehe function f(x,y)…

Q: What are the coordinates of the equilibrium point? (Type an ordered pair.)

A: Follow the procedure given below.

Q: 5a) Suppose y = f(g(x)). State the chain rule. That is, what is y' = dy/dx? Now, suppose f(x) =…

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Q: A telephone company agrees to put a new exchange for 100 subscribers or less at a uniform charge of…

A: Given the charges per subscriber is 40 pesos for 100 or less, if subscriber is more than 100 then…

Q: Determine whether the statement is true or false. True False The equation y' = 4y - 2x + 8xy - 1 is…

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Q: (f) 2 dy (2y+3) 4x+5 dx y(1) = 3

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Q: where does the function 1/sin(x) not exist? what happens if we try to calculate any of these values?

A: We have to find the values where function values doesn't exist.

Q: What is the average value of f(x) between x = 1 and x = 5 forf (x) = 2.t? 32 O 31 O 10.82 9.28

A: Average Value of f(x) between x=a and x=b , favg= 1b-a∫ab f(x) dx

Q: Find the first derivative of y = x (cos(In x) = sin(Inx)) O-2 sin(In x) O sin(In x) O 2 sin (In x) O…

A: derivative

Q: Solve dy +4y=2 dx

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Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

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Q: TC d) x² sinx dx e) ₁x² Inx dx f) so xe dx

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Q: Find y = f(x), given d²y dx² = f'(x) = 2* In 2 + 2ex -x-² +2

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Q: At age 35, Ronald earns his MBA and accepts a position as a vice president of an asphalt company.…

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Q: Differentiate: 1. y = x³ (5.4)*

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Q: What is the bounded region between the parabola x = -y2 and the line y = x + 6. Round the answer…

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