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Q: Answer the question below: Given: Let h(x, y) = In(xy² + 3x). Suppose k = h(x, y), where x = a² + b*...

A: Given K=h(x,y)=ln(xy2+3x)where x=a2+b4 and y=a2b6+3a  

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Q: Using Newton's Method, determine the first approximation to the solution of: e1 x = 2 − 3 x startin...

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Q: Evaluate the integral / V4x4 - 12r? +7 xdx A - {(2x?-3) /4x4– 12x?+7 - 2 In |2x?– 3 + V4x4 - 12x2+7|...

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Q: each

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Q: 3x -dx be given. If 4=e*+2. then the resulting integral is f(u) du.compute f (3). e* +2 Let 2 (A 3 B...

A: We have to find value of f(3)

Q: 1. Let (r + 2)², if I 0. (a) Give the r coordinate(s) of the possible point(s) of discontinuity of ...

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Q: (d) The function k(x)is defined as follow: 3 x+ 17 -- 4 k(x) = { 2, x =1 5|x-1| x² -1 x>1 Discuss th...

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Q: 3 In x + 1 dx x (In x + In x) Evaluate A In lin?x + 1 + c Bn in°x + In x + C ©nlin³x + In x| + c D 3...

A:     ∫3ln2x+1xln3x+lnxdxLet u=ln x.=∫3u2+1u3+uduLet v=u3+u.=∫1vdvSubstituting back we get,=lnln3x+lnx...

Q: dx (x² + 9)² 5.

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Q: Watch the video on partial fractions decomposition with a repeated quadratic factor before answering...

A: Given,1x2+3x2+221x2+22x2+3=Ax+Bx2+3+Cx+Dx2+2+Ex+Fx2+221x2+22x2+3=(Ax+B)x2+22(x2+3)x2+22+Cx+Dx2+3(x2+...

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the ot...

Q: Is the series convergent or divergent? Prove in no more than two sentences. +oo 1 n=1

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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: (b) 2.4 (с) —10п

A: I am attaching image so that you understand each and every step.  

Q: Let (x) = x In x and P4(x) be the fourth-degree Taylor polynomial for f about x = 1. Using the defin...

A: Find the fourth degree Taylor polynomial for f about  x=1 then find maximum error in approximating f...

Q: If the limit of x->3- and x->3+ is +♾️, while f(3) is 2, is this a removable or infinite essential d...

A: Given

Q: Question 7 dx 7-9e-2x Using u-substitution and transforming the integrand, find du. Given: A 14e2xdx...

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Q: 1. Consider the relation R1: R R2 such that (r1, y1)R1 (x2, y2) if and only if both points are on th...

A: We are given a relation  R1: R2  -> R2  such that any (r1, y1) , ( x2, y2) ∈ R2 are related to ea...

Q: (a.) the critical

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Q: f(x) =(x^2/3 − 1)^2 -Take note that the 2/3 is the exponent of x (c.) the intervals on which f is ...

A: Given problem:- f(x) =(x2/3 − 1)2   (c.) the intervals on which f is increasing or decreasing (d.) t...

Q: Question 7 If the solution to Je2x sec²(e2x*1)dx is equal to ktan (e2x+1) + C, find the exact value ...

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Q: Find the polynomial with a leading coefficient of either 1 or - 1 and with smallest possible degree ...

A: Draw a schematic diagram of given graph.  

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

A: Here, the given series is: ∑k=3∞(-1)k5 ln kk which is the alternating series with bk=5 ln kk; k≥3

Q: 3) A businessman ventures to put up a digital printing shop which caters to printing of t-shirts for...

A: Let the number of t-shirts that will obtain maximum gross return is = 50+x. In this case x t-shirts ...

Q: This problem is about evaluating the integral V2/2 1 dx - x2)3/2 (1 – To start, one would make a sui...

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Q: Do the following: (a) Construct the table of values; (b) graph the function; and (c) find the indica...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: an+1 to determine if the sequence {ne" } is strictly increasing or strictly decreasing. an Use the r...

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Q: Solve the components of the given equation of conic sections and sketch the graph: a. x2 + 4y2 – 6x ...

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Q: 2. Use the Intermediate Value Theorem to show that 2.x - 3 if – 3 0 has a zero on the interval [-2, ...

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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: Use the limit comparison test to determine whether the series converges 8. 74 +5 The series Save for...

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Q: Consider the integral 3e 2 dx . Using u-substitution, what is the appropriate u and du? 2e -2r A u =...

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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: Find the Maclaurin polynomials of orders n = 0, 1, 2,3, and 4 and th find the nth Maclaurin polynomi...

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Q: The sequence

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Q: dy de + 2xy = 2xe-x².

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Q: Show that for all positive integers n, 13 + 2° + ...+ n³ = (1+2+3+ ...+ n)?

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region above the x-...

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Q: The graph shown below is f(x) = 2x – 1. If g(x) = f(t)d t, find g '(2) AY 8. 6+ 2t + 4 -2 4 O g'(2) ...

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Q: xy' + (x + 1)y = x, y(ln(2)) = 1

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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: II. Determine the derivative of the ff. logarithmic functions 4. y = 8 log , 7x² 5. y = - 5 log , (1...

A: As per our guideline we solve only first three parts

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

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Q: x² - 36 lim X6 x+6 (a) Vx+11-4 lim (b) x-5 (c) lim- x2 2-x x +6x+9 lim (d) r+3

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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: 2. (a) Prove the following inequality n(n- 1) ,2, 120 (1+ 1)" 2 1+ nz + 2 for any n 2 1. (b) Show th...

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Q: An agriculturist wanted to plant seven different organic crops in a small field. To properly study t...

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

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