Use the given information to find the length of a circular arc. Round to two decimal places. T the arc of a circle of radius 13 inches subtended by the central angle of 4 in radians

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A: The objective of this question is to determine which of the given iterated integrals will give us…

Q: Assume that the domain of f and f-1 is (-∞, ∞o). Solve the equation for x using the given…

A: Given that the domain of f and  is (a)  ; (b) ;

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A: We need to find the function by inverse Laplace transformFormulas::First, we break the given…

Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A: The given differential equation is

Q: 2. a) Multiply the following polynomials and simplify the answer (express in standard form): (3x −…

A: To multilply the following polynomials and to simplify the answer.

Q: The region R in the first quadrant is bounded by the coordinate axes, the curve y = e c=5. The…

A: y=e-5x   and x=5

Q: 7) An airplane is flying on a flight path that is 5 miles above the ground and that will take it…

A:

Q: Part 1: The production level that minimizes the average cost of making x items is x= _____ Part 2:…

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Q: 53. 6 √4-4x² 3 dx

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

Q: Find the area of the region bounded by the graphs of the given equations. y=3-x²₁ y=3-4x

A:

Q: 2. Compute the following limits. Use an analytic approach. 35x-3 √25x²-9x+8 35x-3 √√25x²-9x+8, a.…

A: We need to compute the limits using analytic approach.

Q: Mickey Rats claim that y = xy - 5y is a separable and linear differential equation. Is he correct?…

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Q: Evaluate the following indefinite integral √ 2² + √²-2 dz X

A: To evaluate the following indefinite integral.

Q: For the function g(x, y) = x^2 + kxy + y^2 where k is a constant, show that g(x, y) has a critical…

A: Given, to show that the given function has critical points at origin (0,0) for all values of , we…

Q: Let f be the function given by f(x) = 2x³-5x² + 8x +1 on the closed interval [0, 3]. What is the…

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Q: Find the area of the region bounded by the graphs of the equations. y = -x² + 8x, y = 0 Need Help?…

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Q: Express the number as a ratio of integers. Make sure to show step by step work. 5.128128128...

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Q: Given f(x,y) = 2+1 find the directional derivative D-f(z,y) for (z,y)=(3, 4) in the direction= the…

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Q: Find f(, v) = of 11

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Q: Consider the following three vectors in R³: V₁ = If b = , V₂ = 1 0 , V3 = 0 is any vector in R³,…

A: We have to explain why we can always write b as a linear combination of..

Q: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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Q: 100. Given that f₁² xdx = So S₁² x² dx and 1/1, 2 = 1/1, 3 fx³ dx = 1, S Compute ¹ (1-x)² dx f

A: Given,

Q: Simplify 5¹⁰g3 27 + 4log 100

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Q: For each of the following functions, evaluate the gradient Vf at the given point. (a) f(x, y) =…

A: given a function  to find the gradient at point .

Q: Let A = -2-5-20 5 2 3 1 15. Find the third column of A1 without computing the other two columns. 8

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Q: The marginal cost function for Mark Hall's bulk greeting cards is given by  C'(x) = 4x−0.75…

A: The marginal cost function for Mark Hall's bulk greeting cards is given by  dollars per box when x…

Q: converges or diverges. Give reasons for your answer. e answer box to complete your choice. it used…

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Q: K Find f such that f'(x) = 8x-5, f(5) = 0. f(x) = 0

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: The given nth term of the sequence is

Q: b) Fully factor the following polynomial expressions. Clearly show all your steps. -2x²y - 4x³y 6a²…

A:

Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify…

A: f(x) =x^3-27x to find the absolute extrema on [0,

Q: I need help with this problem and an explanation of the solution described below:

A: The objective of this question is to find the radius of convergence and the interval of convergence…

Q: A closed rectangular box with a square base and a volume of 10 ft3 is to be constructed with a…

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Q: Find the extrema of f(x,y,z) = x2+y2+z2 subject to x+3y-2z = 12.

A: The given objective function is Let

Q: Consider the function f(x) = 2x³ 3x² - 36x + 54. a. Find the first derivative. f'(x) = 6x² - 6x - 36…

A: NOTE: Refresh your page if you can't see any equations..take derivative....................answer(a)

Q: Owner of a boat rental company that charges customers between $130 and $300 per day have determined…

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Q: Find the inverse of the given matrix, if it exists. Use the algorithm for finding A1 by row reducing…

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Q: if f(x, y) is defined at (a, b), then fy(x, y) must also be defined at (a, b)

A: The given  is defined at , then  must also be defined at .The aim is to determine whether the…

Q: If f(x) = n=0 n! -x² and g(x) = [(-1)" " ", find the power series of n! nn n=0 nn (f(x) – g(x)).

A: f(x)=∑n=0∞n!nnxn and g(x)=∑n=0∞(−1)nn!nnxn

Q: 10) If f(x) = 3x x +4 +4 and g(x) = f(×¹4), write an expression for g(x) and find its domain and…

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Q: t) For time, t, in hours, 0≤ t ≤ 1, a bug is crawling at a velocity, u, in meters/hour given by…

A: We have to find the underestimate and over estimate.

Q: 150 180 210 120 240 90 6 2 270 60 30 300 0 330

A: Given, the graphs of the polar curves are shown in the figure for 0 is less than or equal to  is…

Q: If you know that f(x) = f'(x) = f'(x) and that f(−2) = 6 while f(-1) = 6e then: [²² x · f"(x) dx =

A:

Q: For the following exercises, solve to four decimal places using Newton's method and a computer or…

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Q: A inner city revitalization zone is a rectangle that is twice as long as it is wide the width of the…

A: Note : We are authorized to answer one question at a time, so we are answering the first one, Please…

Q: Find the derivative G(x)= (x^2+4x-3)e^x

A: To find the derivative of the following function.

Q: During the first quarter of 2015, Toronto Dominion Bank (TD) stock cost $45 per share and was…

A: To find the total no of TD stock shares purchase and the total no of CNA stock shares purchase.

Q: 2) Consider the function f defined as: 3x f(x)=sin(x)' 2x + 3, a) Is f continuous at x ==? Explain.…

A: The given function,The aim is to find the following,(i) Check continuous at .(ii) Check…

Q: 11) Find the absolute extrema of the function f(0) = sin³0-cose on the interval [0,2π].

A: We have to find the absolute extrema of the given function.

Q: CA = CAO e-K₁ (K₂²-K₁ In е K2) How would you simplify to CAI CAO [keo K₂2-K₁) 2

A: