A consumer has utility function xy u(x, y) = x+y

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: Find the radius of convergence and the interval of convergence. 00 k(k + 1) k=1 1) First apply the R...

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Q: Determine whether the alternating series converges. 5ln k k=3 O The series diverges. O The series co...

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Q: A. Find the value of a to make the lim f(x) and f(c) equal at all possible value of c within the giv...

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the or...

A: topic- logarithmic equations

Q: Evaluate the integral 4x4- 12x2 +7 xdx.

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Q: Find the distance between the points (distance formula) 1.(3, 2), (4, -3) 2.(-5, 1), (-7, -3) 3.(-1,...

A: Distance between two points (x1,y1) and (x2,y2) is (x2-x1)2+(y2-y1)2. Note : As per our Guidelines ...

Q: Question 16 3 In?x + 1 Evaluate x (In3x + In x) 1 In lin³x + In x| + C A +x, B In in?x + 1| + C © 3I...

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Q: X+ tan (xy)=0

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Q: 30 3 120 x f(x) = 2x-3 X + 1 n = 4 3 Pa(x) = 3 1+ x -x+x -3+ 5z- 522 +5-54 | Solution or Explanation...

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Q: Use the formula for the binomial series: (1+x)" = 1+ mx + + ... 21 = 1+ Ein if al < I 1 to obtain th...

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Q: The graph shown is f(x) = 2x2 - 2. What is the integral that defines the area under this line betwee...

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Q: The curve C with equation y = f(x) passes through the point (1, -3). Given the following, find f(x) ...

A: We know, ∫xndx= x(n+1)/(n+1)

Q: At least one of the answers above is NOT correct. Match each of the following with the correct state...

A: This is question related to series and sum calculation. Based on several method available for testin...

Q: Given: -dx. Using u-substitution and transformation of integrand, what is u and du? 3Vx - 2x A) u = ...

A: The given integral is 5/[3√x -2x].

Q: (x + 1)2 and the line (x+1)?, 1, where a is the same constant. 4. Let Si be the area of the region b...

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Q: Consider dx. Which of the following options is correct? 9+x6 1. lim Arcsin lim Arcsin 6. 6. 3 B none...

A: Given

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)² f(x) = Σ

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Q: Evaluate the integral. x² + x + 1 dx Jo (x + 1) (x + 2)

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Q: 1. What is (3x) ? 2. What is (x*+ x)? 3. What is (2-32)? 4. What is (6v - 3v + Sv)? 5. What is (x-1)...

A: As per the guidelines we can solve 3 parts only 

Q: Find the Maclaurin polynomials of orders n= 0, 1, 2, 3, and 4 and them find the nth Maclaurin polyno...

A: Given :f(x)=16ln(1+x)

Q: Calculate F . dS where F = (4x°z, 4y°z, 3z*) S is the surface of the solid bounded by the hemisphere...

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Q: 3. a) Find the percentage error in computing u = Vx at x = 2.45, when x is 4 p) | If Ax = 0.005, Ay ...

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Q: Use Stokes' Theorem to calculate rot F dS, where F = ri + yj + rk and S is the surface given by the ...

A: This is a problem of vector calculus. By using stokes theorem formula we will evaluate given integra...

Q: /atch the video on the improper integral 1/x^2 2 and the video on the nproper integral 1/x 2 before ...

A: We use the formula integration of ex dx=ex.

Q: following: (a) y = \f(x)| (b) y = f (x) (c) y = JF(x). f(x) y = 2 3

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Q: Determine whether the series converges. k=1

A: We use limit test to find convergence or divergence of given series. Follow 2nd step.

Q: Determine whether the alternating series converges. 51n k (-1 k k=3 O The series diverges. O The ser...

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Q: The graph shown is f (x) = sin x. If g (x) = / f (t)dt, find g' (7). %3D AY 6.28 -3.14 3.14 6/28 -2 ...

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Q: Solve the equations: 8х - 2у - 13 -2x +5y- 8.

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Q: Use the following results, if needed, to determine whether each series converges or diverges. If the...

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Q: Followings are given for f(x) function and its derivative f' (x) Sf(0) =1 f' (0) =5 |F(2)=3 f' (2) =...

A: The given problem is solved below in detail.

Q: 2) An agriculturist wanted to plant seven different organic crops in a small field. To properly stud...

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Q: x²dx 1. J4 –x*

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Q: 5x² tan( 3x³) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find . 5/2 A 18 5/2 18 5 18 D ...

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Q: Find the value of c for which the area enclosed by the curves y = c-x and y = x-c is equal to 128. (...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 k+1 Σ (2k –...

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Q: a. Write the linear system as a matrix equation in the form AX= B. 4 b. Solve the system using the i...

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Q: 3. (2y? + 3xy -2y + 6x ) dx + x(x + 2y - 1) dy = 0 ans. x? ( y + xy-y +2x) =

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Q: 4. y = 2 -10x 5. y = 88 8x + 888 6. y = 2021 7×^6

A: According to our company's guidelines I can only answer first three subparts of the question since y...

Q: In general, a partial fractions integral with a repeated irreducible quadratic factor will result in...

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Q: x - 36 lim X6 x+6 (a) Vx +11-4 (b) lim- x-5 (c) lim- X-2 2-x (d) x' +6x +9 lim x+3

A: a) limx→ -6 x2-36x+6 =limx→ -6 (x-6)(x+6)x+6                     ( using factorisation              ...

Q: Write the first five terms of the sequence, give the exact answer: +00 n+ 19 n=1 Determine whether t...

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Q: Using the "add drawing" tool, sketch the graph of the following, showing any points where the graph ...

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Q: x³dx (v²– 1)7 3.

A: In this question we have to find the value of Integration.

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: Homeworks 1. When a eircular plate of metal is heated in an oven its radius increases at a rate of 0...

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: Use the formula for the binomial series: (1 +x)" = 1+ mx + + + -1) %3D = I+ Ei to obtain the Maclaur...

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Q: x4 + 2y = x2 – x +1 y(1) = 1/2 dr

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Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do no...

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