a2/2 if l띠 < 3 if l리> 3. Find vertical asymptotes, if any, for y = f(x). Find oblique asymptotes, if any, for y = Find all points of discontinuity of the function f. 4. Let f(x) (a) = f(x).

Q: Suppose f(x) = "6r V1+f dt.

A: Topic = Integration

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Q: Find the radius of convergence of the power series. (If you need to use co or -m, enter INFINITY or ...

A: Consider the power  series            ∑ an (x-a)n then Series will convergent if |x-a|&lt;R , where ...

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A: Ratio Test :  Suppose ∑ak be an series and            ρ = limk→∞ ak+1ak , then(i)  If ρ &lt;1 , then...

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A: According to question,Given Cylinder and planes,x2 + z2 = 4y = -1y+z = 4

Q: Use the limit comparison test to determine whether the series converges 8. 7h +5 im The series conve...

A: The given series, ∑k=1∞87k+5  

Q: 3. S(x) = (x²/3 – 1)²

A: Given that fx=x23-12c. if f'x&gt;0 then function is increasing.if f'x&lt;0 then function is decreasi...

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

A: f(x) = 16 ln(1+x)f0(0) =16 ln(1)f0(0) =0f1(x) =f'(x)=16x+1f1(0)=16f2(x) =f''(x)=-16(x+1)2f2(0)=-16f3...

Q: What is f'(x) given the integral function f(x) = cos Tud u? O f(x) = -2x cos( T) %3D O f(x) = -2x co...

A: The detailed solution is given below Thank you 

Q: x -6x-1 3 x2 Find the derivative of the function f(x) = at the point -1.

A: Topic = Derivative

Q: Solve the following ODE. y" + 2y" – y- 2y = 9 - 123 NOTE: Write arbitrary constants as c1, Cg, and c...

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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: If the solution to e2x sec2(e2x+1)dx is equal to k tan (e2x+1) + C, find the exact value of k. 1 A 2...

A: This question can be solved using the concept of integration by substitution.

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Q: Question 3 Given: Using u-substitution and transformation of integrand, what is u and du? dx. 3Vx-2r...

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Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel.

A: According to question,Given equation of lines,4x - 3y +12 = 08x - 6y +15 =0

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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: fIntegrate the functon. fexng) the functrom. fixng). aver.the... 2. 1 -xーye 2. reginm.(.disk.). Does...

A: The solution is given in the next steps.

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

A: 1st we have to find an  then we have to find an+1 . Then by ratio we may find it's increases or decr...

Q: 2. Divide the class into groups of 10. Measure the height of each member. Find the sampling distribu...

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Q: The following diagram shows a sketch of a curve with equation y = f(x). The points A(-3, 0), B(0, 0)...

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Q: Consider the following sequence: +00 4" {a,} = an+1 to show that the given sequence {a,} is strictly...

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Q: sin 3x Given: -dx What is the appropriate formula to find the integral? cos? (3x) (4-3 sec 3x) du (A...

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Q: Find the limit by rewriting the fraction first. ху — у — Зх + 3 lim х - 1 (x,y)>(1,4) x+1 ху — у — 3...

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Q: dx Vre(16/:

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Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: We find out the Taylor series of e5x at c=0. Follow 2nd step.

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A: Given curve is y2=4x ,x=1

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Q: Question Define R as the region that is bounded by the graph of the function f(x) = + 2, the x-axis,...

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Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² - 2...

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Q: x³dx (x² – 1)² dx 4. (x² – 6x + 13)² (² – 6x dx 5. (x² + 9)² 3.

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Q: The graph shown is f(x) = sin x. What is the integral that defines the area under this line between ...

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Q: d?y Find dr2 for the functlon: .3 3x +4x y=x

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Q: Find the perimeter of the triangle whose vertices are: 1. A(2,1), B(3, -5) and C(1, -3)

A: A(2, 1), B(3, -5) and C(1, -3) 

Q: Please see the image to see the given. thank you (a.) the critical numbers of f (b.) all relative e...

A: To find: (a.) the critical numbers of f(b.) all relative extrema of f(c.) the intervals on which f i...

Q: X = cos 2t, y = cos t, 0 <t<T

A:

Q: /4x+ – 12x² +7 xdx . Evaluate the integral A) -(4x4 – 12r²+7)/2 +c 24 © ! (21--3)/- 121+7 – 2 m 21--...

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Q: Solu) du. rg(u) = Using u-substitution, the integral u+1 reduces to a new integral , evaluate the ne...

A: Explanation of the answer is as follows