3x dx - 25

Q: Consider the series (In(2n + 1) –- In(2n – 1)). n=1 (a) Let an = In(2n + 1) - In(2n - 1). Does {a}1 ...

A: (a) To check: Whether an=ln(2n+1)-ln(2n-1) Solution: limn→∞ ln2n+1-ln2n-1=limn→∞ ln2n+12n-1         ...

Q: (4-5 vx)* Evaluate the indefinite integral. J

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Q: Find the linearization L(x) of f(x) at x = a. f(x) = a = 0 4x +3

A: topic - linearization of a function

Q: total revenue and total cost functions for the production and sale of x TVs are given as R(x) = 190...

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Q: 2- for y = log10 e" is: dx 1 1 a) *In 10 b)- *In 10 10 In e

A: Option (a) is correct. For detail....go through the solution  

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

A: We have to check weather the given Integral is converges or diverges.

Q: Determine the end behavior of the graph of the function. n(x) = -5(x+1)(3x-1)°(x+6) As x-- 00, n (x)...

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Q: Find the 65th derivative of sin(x) by finding the first few derivatives and observing the pattern th...

A: Given:      y = sin x

Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. +oo +oo (2n...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not ...

A: In this question we have to find whether the Integral is divergent or convergent.

Q: An investor deposits $9,000 into an account that pays 8% compounded continuously, and then begins to...

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Q: A. Evaluate the indefinite integral. S(2x+5)dx , and • Identify what is the u=? and du=? Show the co...

A: Solve the indefinite integral in complete solution

Q: Determine whether the improper integral diverges or converges. dx

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Q: Find the radius of convergence and the interval of convergence. E(-1)* *(x+9)2k+1 k2 + 9 o+ 9 k=1 Ra...

A: radius of convergence and interval

Q: For the function f(x) =x - 4, construct and simplify the difference quotient f(x+h)-f(x) The differe...

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Q: Find the critical numbers of the function f(x) = 2x3 -15x2 + 36x - 24. O a -2 and 3 O b. 2 and 3 O c...

A: As per guidelines we are bound to solve first question only... Thank you

Q: 6. Let a be a real number. Consider the series where an = cos(n7); 2n + 1 n=0 (a) Is it possible to ...

A: Given: α∈ℝ,  the series ∑n=0∞ an;  an=cos(nπ) αn2n+1

Q: Referring to Figure 11, suppose that F. ds = 9n, F. ds = 97 %3D Use Green's Theorem to determine the...

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Q: The east side slope of a hill has a slant height of 187.8 meters. If the angle of inclination of tha...

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Q: Find the sbe and equation of the TANGENT and NORMAL LINE to the curve Graph cach curve, Kormal, and ...

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Q: Sin(2x)-TT find derivative

A: We can find the derivative as below using quotient rule.

Q: The half-life of cesium-137 is 30 years. Suppose we have a 150 mg sample. (a) Find the mass (in mg) ...

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Q: Determine whether the alternating series converges. Σ k + 1 7k + 1 k=1

A: ∑k=1∞(-1)k+1k+17k+1  Above Series is an alternating seriesApply Liebnitz Testlet   ak=k+17k+1      a...

Q: The 2014 domestic postage rate for first-class letters weighing 3.5 oz or less is 49 cents for the f...

A: We have to find the function and its graph.

Q: Find the absolute maximum value of f(x) = 2x In and say where it is assumed. %3D | The absolute maxi...

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Q: x = a, y = 5x - 2.

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Q: (-1)"+'2nx" n+1, En=1 2 n¯ + 3

A: Given problem:-

Q: Find dy if y =log Viax alog (L_x²) a .2

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Q: Solve the problem. Round your answer, if appropriate. A man 6 ft tall walks at a rate of 7 ft/sec aw...

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Q: x-2 6) Find the antiderivative: - (x+1)2+4

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Q: Consider the given function m (x) = - 3x - 15x +148. (a) Write the function in vertex form. (b) Iden...

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Q: Solve the area bounded by y³+y²+10 = (x+1)², the lines y=−2 and y=2

A: Given: - The curve is, y3+y2+10=(x+1)2 and the lines are y=-2 and y=2 To solve: - The area bounded b...

Q: Consider the following: 36x + 49y- 1764 (a) Find two explicit functions by solving the equation for ...

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Q: Consider the indefinite integral (7x³ +6x2 + 3x + 3 -dx x4 + lx? Then the integrand has partial frac...

A: Topic = integration

Q: Let y=(x+sin(x))^5 Find g(x) and f(x) so that y=(f∘g)(x), and compute the derivative using the Chai...

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Q: The weekly revenue from the production and sale of x units of grain is given by R(x) = 237x - x thou...

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Q: dx 1. (x-3)(x-2)

A: Given I=∫1x-3x-2dx To evaluate the integral I:

Q: Find the derivative of v(t) = te-ct Assume that c is a constant. v (t) =

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Q: = (4 – j3)cos(1+j1.5) %3D

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Q: Given f'"() = – 16 sin(4z) and f'(0) = – 3 and f(0) = – 2. Find f): Question Help: Message instructo...

A: topic - functions and integration

Q: Question 5 of 7 Use a graphing calculator to find the intervals on which the function is increasing ...

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Q: The radius of a circular oil spill after t minutes is given by r(t) = V4t. Find the instantaneous ra...

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Q: Examples Assume for a three variable function f(x,y,z) that the input combination xy=1 never occurs,...

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Q: 1. Show that function f(x)=D|x | is not differentiable at 0

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: =D1

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Q: A news item is heard on the late news by 8 of the 144 people in a small community. By the end of the...

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Q: Atone com emony cae phone plan tr2500. indudes 0 i pan2 pe mee tdn mi The ting tucon ges the atly t ...

A: The function representing monthly cost for a subscriber C(x)=25.000≤x≤35025.00+0.25x-350x>350 x i...

Q: A 4-meter length of stiff wire is cut in two pieces. One piece is bent into the shape of a square an...

A: Length of the wire = 4 m,  One piece is bent into the shape of a square and the other into a rectang...