2n +1 Σ n n tan-1 n n=1

Q: In 2011 a country's federal receipts (money taken in) totaled $2.46 trillion. In 2013, total federal...

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Q: Evaluate the given integral applying Chain Rule * S(V25 + x² ) 2x 2 (25+x²)v25+x² -+ c С. 2 (25-x²)v...

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Q: Find k such that the function is a probability density function over the given interval. Then write ...

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Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the tri...

A: Given problem:- The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the...

Q: Find the centroid of the region bounded by the curves y= x-4 and y = 2x - x. Note that the area of t...

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Q: 1. lim 3 2. lim 57 3. lim log r

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Q: 2. Determine if the series n (-1)³n n4 +1 n=1 absolutely converges, conditionally converges, or dive...

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Q: 4. Indicate if each improper integral converges or diverges. a) ['te*dt dx c) Lo1+x -2t а) b) x -1 1...

A: The given integrals are: a) te-2t limit from 0 to infinity.  b) x/(x2-1) limit from 3 to infinity.  ...

Q: Evaluate the given integral by changing to polar coordinates: Sl. x²y dA, where D is the top half of...

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Q: 200 If 50, solve for t. 1 + 5e-0.5t t =

A: Given query is to find the value of t.

Q: If f'(x) = 12r + 3z² and f(1) = 7, find f(x) . f(x) =

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Q: Compute the total cost per year of the following pair of expenses. Then complete the​ sentence: On a...

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Q: 1. Given x= 2t2+ 1, y= 3t : Find A = J ydx as a function of t by substituting for y and dx their val...

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Q: Write the first three terms of the sequence. 3n - 2 n2 +2 The first three terms are a1 ,a2 = and a3 ...

A: Given ,an=3n-2n2+2Put n=1a1=3(1)-2(1)2+2a1=3-21+2a1=13,Put n=2,a2=3(2)-2(2)2+2a2=6-24+2a2=46,a2=23,a...

Q: Find the root mean square of y=1/x in the interval [1,3]. Round to the nearest hundredth. RMS

A: Given query is to find RMS.

Q: A chemical substance has a decay rate of 9.5% per day. The rate of change of an amount N of the chem...

A: We can use exponential decay function to module the given data

Q: Suppose that the spread of a flu virus on a college campus is modeled by the function 1000 y(t) = %3...

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Q: Question 4: Sketch the triangle ABC with vertices A(4, -4); B(2, 1); and C(-1, 3) and its image unde...

A:     y = mx          m = 33Where, m = tanαorα  = tan-1mα  = tan-133α  = 30°

Q: Solve using logarithmic differentiation.

A: We need to find differentiation.

Q: Evaluate the following using trigonometric substitution: dx V25 + x²)

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Q: In the diagram below, the cube's side length and the sphere's diameter is equal. If the sphere's rad...

A: Given: Sphere radius is one and four tenths feet  And also the cube's side length and sphere's diame...

Q: Integrals Involving Roots Evaluate each of the following integrals. 1. 2+Vx-4 xp-

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you wan...

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to ...

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Q: -1) п — 1 n n n=2

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

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Q: y sec2(tan-ly²) dy 1+y+ tan ( tan-ly²) + C A) True B False

A: We have to find the value of the integration  ∫ysec2tan-1y2dy1+y4 we find the value of the integrati...

Q: Calculate sin r e at a 10 to get 15 correct significant digits. What is the 14th digit? Answer:

A: Given expression is: sinx-x We have to calculate it at x=10-6.

Q: FInd the Laplace transform of cos t cos 2t cos 3t

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Q: Find the value of k, and write the equation. Estimate the population of the country in 2015. After h...

A: We will find the exponential function. 

Q: A plant encloser is in the shape of half of a cylinder. Find the surface area of plastic covering. L...

A: Surface area

Q: Find a formula for the nth term of the arithmetic sequence. a3 = 95, a6 = 107

A: topic- arithmetic sequence

Q: Find a particulaf solutioh to 9y" +6y'-y= 17 A solution is v. (t) =

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Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship...

A: Question- At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 24 knot...

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: /(cos0 + tan@) de cos?0 - (sec@ + tandsec²0) d0 A) True B False

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Q: Evaluate (*. | (a? + 5) 0. OR Evaluate dr using Simpso o 1+x2

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Q: An offshore oll well is 4 kilometers off the coast. The refinery Is 5 kilometers down the coast (see...

A: Given query is to find the x to minimize the cost.

Q: 3. Consider the function f(x) whose graph is shown below. Determine the following: a. lim f(r) b. li...

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Q: 2. f(х, у) 3 а? —гу + у? then ,is

A: Given: fx,y=x2-xy+y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 ...

Q: At 2:00 p.m. a car's speedometer reads 30 mi/h. At 2:10 p.m. it reads 50 mi/h. Show that at some tim...

A: topic - mean value theorem

Q: 5. Use the comparison test to determine if each integral converges or diverges b) 2 2/3-4 a) e-x² dx

A: Solution: 5.a ∫1∞e-x2dx

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: sec xdx Which of the following is the same as which will lead us to the correct evaluation of this i...

A: This problem can be solved as follows:  

Q: [9] Suppose x is a particular real number, and let p, q, and r symbolize “-23

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Q: find the value it converges to

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Q: Show that the function has one zero in the given interval f(x)=x^4 + 3x + 1 [-2,-1]

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Q: 5. (2y- 3x)dx + xdy = 0

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Q: Problem 3. The surface of a dome to be installed on the roof a house can be modelled through the fun...

A: f(x,y)=4-x2-y2To Find:d. The coordinate (x, y) of the highest point of the dome. Why it is the maxim...

Q: Use polar coordinates to find the volume of the given solid. Above the cone z = (x2+y2)1/2 and belo...

A: We have to determine volumes of given solid

Q: (x +7)" 2" Vn² – 1 Consider the power series > n=2 -

A: