Use the previous item to determine if the improper integr 2x – x3 | dx (х — 1)2(г2 + 1) converges or diverges. If it converges, find its value.

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Q: 1 (iv) If f(t) = e2ºH(t), its Fourier transform is F(@) = -2+iw

A: In this question we have to find whether it is true or false.

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A: Let's find. 

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A: We know the property of inverse Laplace transform: L-1a·fs+b·gs=a·L-1fs+b·L-1gs And L-11s-a=eat   Gi...

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A: Please refer to the image below

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A: The integration of the integral is 2ex√(e2x+1) limit from 0 to ln√3.

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Q: A.) List all possible points of discontinuity. B.) Discuss continuity at the specified possible poin...

A: ------------------------------------------------------------------------------ For continuity at any...

Q: Question 1: Find the limits of the functions below a) lim,-3 2x3 sin x b) lim,

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Q: Let A = and B = , P = (9, 8, 7) d. find an equation for the plane which contains the point Pand is ...

A: We have to find an equation for the plane which contains the point P(9,8,7) and is parallel to A = &...

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Q: ACTIVITY 3: Think More! 2. Find an equation of the line that is tangent to f(x) = x and parallel to ...

A: topic - equation of tangent line

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A: Solved below

Q: dx 4. S x2Vx2-9

A: The given integral is  ∫dxx2x2-9

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A: Since you have asked multiple questions, we will solve the first question for you. If youwant any sp...

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Q: d²u dv² 4(1+ 3v)? u = -1 du/dv = -2 when v = -1 %3D

A: solution:-d2udv2=4(1+3v)2 integrate both sides with respect to u∫ddvdudvdv=∫4(1+3v)2 dvdudv=4∫1+6v+9...

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Q: i da

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Q: ACTIVITY 3: Think More! 2. Find an equation of the line that is tangent to f(x) = x³ and parallel to...

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Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: Find the point on the line 5?+2?−2=0 which is closest to the point (0,0).

A: Find the point on the line 5x+2y−2=0 which is closest to the point (0,0). here we can first find the...

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A: Identify true or false  Statement:The greatest integer function is not a step function

Q: 12 sin°(z) dr: C is any closed curve -dz enclosing 7/6 (a) Ic 6z – T -

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Q: 2 Evaluate the J ) dx xvx2-4. | a) arcsec ) + c (2) b) arcsin (-) +c c) arccos(x) + c d) arcsin(x) +...

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Q: Find the equation of the tangent line to the curve of f(x) = x³ - 4x + 5 at the point (2, 5). Оа. у%...

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Q: 2. What is the equation of the tangent line to the curve y = x? - 2x +1 at point (3,4)? а. у3 2x — 2...

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Q: Suppose that R is the finite region bounded by f(x) = Va and g(x) 2 %3D Find the exact value of the ...

A: Let's find. 

Q: The function f is graphed below. State the values that fulfill the following requirements. If there ...

A: f'(x) is undefinedat x= DNEcritical value of f(x)where f'(x)=0 of undefinedf'(x)=0, at x=-2, -1, 0, ...

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A: The given graph is of a parabola with the vertex (0,-1). So, its equation is: y=a(x-0)2-1⇒y=ax2-1......

Q: functions. y = 1/(x2 + 3)5 a. Product Rule O b. Constant Rule O c. Chain Rule O d. Sum Rule

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find all of the critical numbers of the function g(0) = sin 0 in the interval (0, 37). (a) r = #/2, ...

A:  A detailed solution is given below

Q: 5 What is a. lim,-3 f(x) b. lim,-2 f(x) c. lim,0 f(x) d. lim,2+ f(x) e. lim,2 f(x)

A: To find the given limit values for the function using the give graph.

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A: Given: Mx,y,z=The strength of the magnetic fieldMx,y,z=12x-y2+xz+210                                ...

Q: 2. In r dr

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Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact answe...

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Q: funchioN fo= x-2x-3 X+3 find the secod derivatve tx): Baseden: criical value -6.5, 0.5 and second de...

A: Given: fx=x2-2x-3x+3   We know that; The Quotient rule: fg'=f'·g-g'·fg2 The chain rule: fgx'=f'gx·g'...