Evaluate the limit a x approaches positive infinity

Q: 0. -10 0 -101 -5 0 B = -2 10 2 6. 4 -5 -4 -2

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Q: 1 du . Answer the following. 2t Suppose y(t) = [, 1 1+u?

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

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Q: 5. x = 8- y², x = y2 – 8

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Q: Given u(x, t) = t-²e¯, 2 , compute:

A: We can find the required answer as below.

Q: 3 Approximate dx using 6 rectangles. +2 It is approximatley. (Round final answer to 3 decimal places...

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Q: -3a 36)-216 3- 2 3p x²-e3x. 時le). ex² =e12

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Q: Test the series for convergence or divergence. 1 4. In 3 1 + In 4 1 1 + In 6 In 5 In 7

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Q: 5. Obtain the particular solution for the given differential equation when SHOW YOUR COMPLETE AND CL...

A: topic- differential equations

Q: -y cutting away identical squares from each corner of a rectangular piece of cardboard and folding u...

A: Given : v(x)=4x3-48x2+140x. 

Q: 1. Differentiate. Do not simplify. а. f(0) = 3cos(0*)sin(0³ – 2) b. f(x) = 4x + 25-x² + 2x-1

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. x = 8 – y? , x...

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Q: Suppose f(u, v) = ue", where u = rs and v = r+ s. Which of the following is equivalent to –? dr af d...

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Q: Consider a differentiable function f(x) :[-, →R such that f' (x) = 32? – 3 and f(0) = 1. Which one i...

A: We need to choose correct option.

Q: Write the standard form of the quadratic function whose graph is the parabola shown. (Let x be the i...

A: In this question we have to find the equation of parabola.

Q: 8. For the function y = e* + sinx: a. Determine y', y",y",y^),y(5), y(6). b. Describe the pattern ob...

A: We have to find the differentiations of the give function and find y101.

Q: (x²+6y²)dx – 4xydy=0

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Q: dy Differentiate implicitly to find dx 7xy + 1 = 0 dy %3D dx

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Q: 9, dx 3+x4 1 3C

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Q: The integral of the given function fł-16) dx is v-16 +C a. Vx - 16 - 6Arcsec+ b. Vx - 16 - 6Arcsin+ ...

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Q: Use the limit process to find the area of the region between the graph of the function and the x-axi...

A: here we can see that the  graph is between 2 to 4 so the first column graph is right  but from equat...

Q: Consider the differential equation y" – 6y' + 13y = e3r By using an appropriate substitution, give a...

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Q: In Exercises 19–22, state why it is difficult/impossible to in- tegrate the iterated integral in the...

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Q: Antiderivative of a Function 12. S(t - 4)² dt

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Q: Find (A) f'(x), (B) the partition numbers for f', and (C) the critical numbers of f. 3 f(x) = x° - 2...

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Q: A price p (in dollars) and demand x for a product are related by 2x2-2xp+ 50p = 13400. If the price ...

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Q: Sketch the region enclosed by the given curves. y = 3x, y = 3x

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Q: w= Cos (x+y) + Sin (X-4) Show that dy?

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Q: Lab 4 Question 3- Sohve the inequallkyiwrite the Solutror Set In nterval notatron. på+p-20 factor. C...

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Q: Find the average value of f(x) = over the interval [1, 3]. %3D (2x² + 3)²

A: The objective of the question is evaluate the average value of the given function.

Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = 12 – 3x2 ,...

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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

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Q: Find the characteristic equation and fundamental solution set to the di fferentinl equation 4 +4

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Q: 7. What region R in the ry-plane minimizes the value of r + y? - 9dA? 8. Calculate the average value...

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Q: Find the critical numbers and absolute extrema for y on the interval [0.5, 2]. Type DNE if an answer...

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: The integral is ∫4+1t31t2dt

Q: Evaluate the integral. 2 dx x2 + 4x + 20

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Q: Use any test to determine whether the series is absolutely convergent, conditionally convergent, or ...

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Q: * One hundred fish are harvested each year. * One-third of the fish population is harvested annually...

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

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Q: (b) Find the dimensions of a box with a square base with surface area 56 and the maximal volume. (Us...

A: Given  problem:- Find the dimensions of a box with a square base with surface area 56 and the maxima...

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 6  where the tangent line is horizontal.

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Q: Suppose f''(x) = -(sin(x)), f'(0)=6 and f(0)= -1 Find f(π/2) =?

A: Given query is to find the value of the function at indicated point.

Q: 552 – 4 I(x)= £2 + 1 |1 – 45| 12 – 1,000 f(x) = 5 4r2 – 6 1– 452 m(x)= |4s – 1| g(x)= -4 g3 – s2 + 4...

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Q: 1 dy : ? If Y = x² then da 222 2x

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 8. 1 Vn(1+vn)

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Q: Find a polynomial function that has the given zeros. (There are many correct answers.) 0, -8, –9 f(x...

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Q: Suppose a person wants to travel D miles at a constant speed of (2 + X) mi/hr, where x could be posi...

A: topic - linear approximation of a function