Q4) Find plane area inside the polar functionr = 2 and outside the polar function r= sin -0) +1 in first quarter.

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Q: Wu's job pays $17/hour, and requires him to be at work at least 29 hours/week. He is allowed to work…

A: Solution:Budget line:C = 17h for h⩽40(1.5) (17) (h-40) for  40 ⩽h⩽602(17) (h-6) for h⩾60

Q: (i) Sketch the graph of f and find its Fourier series on [-2, 2]. (ii) Use the obtained series to…

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Q: - 2T -T 271 a ftt)= Cos nt Fourier Series s'i n:1,3,5,... %3B findi a+ b+ C

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Q: 2-X Evaluate the integral . S* dy dx using polar coordinate 0,

A: In polar coordinates  x=r cos θy=r sin θdxdy=r dr dθ

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Q: Determine whether converges or diverges. Show complete solution.

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Q: Find the future value if $9000 is invested for 13 years at 13% compounded annually. (Round your…

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Q: Prove that the power series converges at x=3/8 through the alternating series test. Prove that the…

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Q: Q5) Find volume of body bounded by z = x – y from below and z = x + y from Above inside y = x2 ,y =…

A: Volume bounded by the region

Q: 22z (2х — 1)* V1+ z2 z=1 Given the power series, what is the largest interval of convergence? Given…

A: Given series is ∑z=1+∞22z1+z23(2x-1)z

Q: IV. Determine if the given is convergent or divergent. 1. dx (x2 + 1)² 1

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Q: The monthly mortgage loan payment on Flynn's home is $777. Additionally they pay $814 in annual real…

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Q: E 14. Is ZFDE a possible name for the figure at the right? Explain. D 15. How many different line…

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Q: If z, is a point on locus given by z+ 8 <2 and z, is a point on locus given by z+3|+ z-3| 10 then…

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Q: С 3 D 3 4 2 1 G 3. 21 4 3.

A: Let G be a graph given above. (a) To find the distance from vertex F to vertex E The distance…

Q: Find Duf at P. f(x, y) = 3(1 + xy) 2; P(5,3); u = 1 i+ NOTE: Enter the eract answer. Duf 62

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Q: For the function y = -2 sin (0 +=) + 1, answer the questions that follow.

A: 7. Given,            y=-2sin12θ+π6+1

Q: to evaluate the function using reversed order of integrati 1 eее-x dx dy 1 Jin y

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Q: Find out if the improper integral converges or diverges. If the given converges, find its value.…

A: Solution

Q: n=1 Vn2 +1 se alternating series test to show that the series is convergent for r = x = 3/8. se…

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Q: Consider the function g(x, y) = x³ – 4x + ye" – In y. a. Find all critical points of g. At each…

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Q: Determine whether the following series converge or diverge. (5 – 4(ln n)³)" (V3 . In n)3n 4+ cos? n…

A: Given series are ∑n=1∞4+cos2n3n-n3∑n=1∞5-4lnn3n33·lnn3n

Q: Integrate the fallowing fultinnaaver the given regions R: the circle xy R: and

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Q: Use double integral polar coordinates to find the area of the portion of the surface 3z = xy that…

A: Surface are of the surface z=fx,y is given by S=∫∫A 1+zx2+zy2 dA where A is the projection of the…

Q: Qz/Evaluate the complex integral: e? dz (z+ 1)(z – 2) where C is: a) The circle Iz| = 3 b) The…

A: 2 Given integral is ∮Cezz+1z−2dz. a We have to evaluate the given integral if Cis the circle z=3.…

Q: What are the future value and the interest earned if $4000 is invested for 7 years at 8% compounded…

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Q: e (1+x) sin (xe" )dx Evaluate sin (xe) +sin

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Q: . x(п) %3D (2)" и() + 3(-) и(п) — 4"u(-п - 1) |

A: Given step by step explanation

Q: Find the particular solution of

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Q: +00 4+ cos n 3n - Vn n=1

A: To find the given series be convergent or divergent .

Q: The cost in dollars for removing p percent of pollutants from a river in Smith County is 72700p C(p)…

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Q: +00 10n? + 18 7n?2 + 16п + 21 n=1

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Q: Show clear and detailed solutions. (a) Find the general equation of the plane 2 passing through the…

A: Plane parallel to a plane ax+by+cz=d is  ax+by+cz=k

Q: 1. Detailed figure showing all flowrates, initial conditions and concentrations of each tank. 2. An…

A: Let the amount of salt in tank A and tank B at time t is x  and   y. Given information is Initially,…

Q: nown that the general solution of the homogeneous differential equation dy + p(x)y = 0 dx , where C…

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Q: Which of the following statement is cOTrect? * O pvq =qvp O - (p aq) = -p v -q O (pv q) vr=pv (q vr)…

A: 1)  We need to check which of the following statements are correct. For that we will use Truth table…

Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Given d, =| and di = 9|. Then d, and d, are G – conjugate if G is l2 8l A

A: We want to find matrix for which the given vectors are G conjugate

Q: fCxッサ) R: is the triangle cut from the first tuadrant by the line メャッ ! 2. R:y=4x-x ? and y=X

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Q: Which of the following vectors are linearly independent? Non of these

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Q: Find the sum of the following convergent series: Eitan-(2n – 1) – tan-(2n + 3)]. n=0

A: Telescoping series and test for converges

Q: Given : an + 4 ( 1.) Show that the reries converges conditionally when x - 1 ( 2.) Find the interval…

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Q: Let X = {a, b, c, d, e}. Create a σ-algebra X from set X. Explain why it is a σ-algebra.

A: Given : The given set is  X = {a, b, c, d, e} To find : We have to create a σ-algebra from the set…

Q: Evaluate cxy)dA av)d4 over the region R bounded by y = 2r, y=x+1 and x = 3. (3, 6) 5.5+ y-2x 4.5+…

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Q: What is the future value if $8500 is invested for 11 years at 12% compounded semiannually? (Round…

A: Given Principal Amount = P = $8500 Time = t = 11 years Interest rate = 12% compounded semiannually.

Q: Evaluate the Inverse Laplace Transform of the given functions. s² – 4 1. F(s) (s2 + 4)2 1 2. F(s) s2…

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Q: Question 2, Let x(t) be a differentiable function defined on (-1,00) satisfying the following…

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Q: 2. Determine the second derivative of f(x)= x'e* at x = -2 with a step-size of h=0.50 using Central…

A: Given function is f(x) = x2e2x and h = 0.50