12. Let a and b be non-negative real numbers. Provide an example of an improper integral of the form f(x)dx which converges. As well, evaluate your improper integral.

Q: dy Given the equation below, find dx 10a? + 3x"y + y' = 14 dy da Now, find the equation of the tange...

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Q: n=0

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Q: (-1)n+l2nx" n2 + 3 Determine the interval of convergence of n=1

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Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

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Q: Match the quadratic function with its graph. (x) = x- 2)2 y 10 -5 10 10 5

A: Given query is to find the graph of the quadratic function.

Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to se...

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Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: The given differential equation is; (2v2+4u2v)du + (4uv+3u3)dv=0.

Q: O Find a general salution answ r リーx- C-X

A: The given differential equation is: xy'=12y2+y which can be written as: y'=12xy2+yx⇒y'-yx=12xy2 whic...

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Product  Rule of differentiation: du.vdx = u.dvdx +dudx.v dcos(x)dx = -sin(x) dsin(x)dx = cos(x) dxn...

Q: Your are driving away from Tulsa. Your distance​ (in miles) away from Tulsa x hours after​ 12:00 n...

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Q: 3x2+- 8(y + 1) = 0

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Q: I4)= te (t-1) Find the lapiare transform using the de finiton/ integration metnod.

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Q: 2. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into...

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Q: The augmented matrix is in row-echelon form. Assume that the variables are x, y, and z and use back ...

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Q: 1. f (x) = 5x – 4 2. f (x) = 4x? + 3x – 6 2x+7 3. f (x) = 3x

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Q: 5. y- Br*-+습

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Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 2n Σ 7...

A: We can test the convergence as below.

Q: y' + 3y = 5e2x – 6; y(0) = 2

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Find a solution for y in terms of x that satisfies the differential equation and passes through the ...

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Q: (a) Graph the function f(x) = 1/x (b) Hence, using translations, reflections etc., graph 1 f(x) = -1...

A: We have to draw the graph of the given functions according to the given information 

Q: F (x. y) = 3x2+3y2-18y+15 4- /2x+4y+4 a) Find domain b) Find sign Diagram

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Q: f(x) – f(1) - If f(x) = log2(x), then lim %3D x-1 (A) me In(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:25 PM

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Q: Find a solution for y in terms of x that satisfies the differential equation and passes through the ...

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Q: 3х - 4 dx Evaluate the definite integral. Give exact answer

A: This question can be solved by first integrating the given function and then putting the limits to g...

Q: Replace ? with an expression that will make the equation valid. d 1 In (x8 +9) : %D dx 8 x° +9- The ...

A: Given query is to find the derivative of the expression.

Q: Use linear approximation, i.e. the tangent line, to approximate V27.3 as follows: Let f(x) = Vx. The...

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Q: TC If f(x) =, then f tan x II

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Q: (1) Use the divergence theorem to evaluate F-S. where F (z, y, 2) = zzi – j+4:k and S is the surface...

A: we use divergence theorem for finding the surface integral.

Q: If a building contractor hires 6 day laborers and 1 concrete finisher, his payroll for the day is $1...

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Q: Does the graph of the quadratic function f(x) = -9x2 + 5x + 2 have a relative minimum value at its v...

A: Given problem:- Does the graph of the quadratic function f(x) = - 9x2 + 5x + 2 have a relative minim...

Q: Question The position of a hummingbird flying along a straight line is given by the function s(t) = ...

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Q: Given the series 8" n=1 ant1 find the ratio an (Express numbers in exact form. Use symbolic notation...

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Q: What is the additive inverse of the complex number 3-7?

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Q: 2 V = 5500 find (1- 50 0<t< 50 the cate which water drains at tme (rate must be nesative).

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Q: Let n be an integer and let a, b, x be real numbers. Evaluate | |cos(27n)|dx

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Q: To evaluate the integral 2х — 1 dx x2 – 16 we use the partial fraction decomposition of the integran...

A: Need to find the partial fraction that will use to evaluate the integral ∫2x-1x2-16 dx.

Q: 221 writc a formnla for the function y =f cx) whose is shown fig: 2.

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Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be item...

A: Given, The cost function C(q) = q^3 - 135q^2 + 2500q Differentiate with respect to q, we  get C'(q) ...

Q: find the definite integral of [e^(arcsec x)] / [ (x)(x^2  - 1)^(1/2)]  dx as x goes from 1 to infini...

A: This question is related to definite integration, we will solve it using given information. 

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: Evaluate the following integrals |(6V - x-3)°dx

A: The integration of the integral is (6√x - x-3)2

Q: what’s the derivative ? f(x)= ln(x^3 - 7x^2 + 1)

A: topic - derivative of a function

Q: 1+cos0 lim 0→0- sin@

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: any method to determine if the series converges or diverges. Give reasons for your answer. 00 3 3 Σ ...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x 2, an...

A: We use the formula for volume=π integration of y2 from x=a to x=b.

Q: - lx + 2 -dx (x – 5)(x – 4) Evaluate + C

A: Here we can solve the integration as below

Q: 1 у? sin y 2)lim y→∞ y + /2y3 –1

A: We can find the limit as below.

Q: Work Problems a) Evaluate the integral (4x + 1) ln x dx b) Evaluate the integral fou | 6 tan" x sec“...

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of c...

A: Each corner square has side 'x' Length of the box = 19-2x Width of the box  = 11-2x Height of the bo...

Q: et cos(t) Ry = e' sin(t) for 0 <t < 5 Find the length of the curve (Hint: You can simplify the integ...

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