(3х — 1, if x <1 f(x) = a = 1 2 — х, if x> 1

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

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Q: -2 - 5 if r 4 7 4- 3. -8 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 7 8 -2 -3 -4 -5 -7 2.

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Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

A: Given series is ∑n=1∞6π7n   To Check :  The given series is convergent or divergent.

Q: For the function f(x)=x²-x³, find a formula for the Riemann sum obtained by dividing the interval [−...

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Q: 2n3 {(-1"ア+! 十3 n=1

A: Notes:limn→∞an exist if and only if all the subsequence converges to same limit.Suppose, limn→∞an = ...

Q: Find fxy(-1, 2) if f(x, y) = 3xy2 - 2y + 5x2y2 O 34 O -28 40 O-32

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 00 Σ 4 n = 1...

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Q: Determine whether the equation is exact. If it is exact, find the solution. (e* siny + 3y)dx – (3x –...

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Q: Solve the system of linear equations given below. —В — С + 4D %3D 1.8 4А — В — С — 0.5 -A + 4B – D =...

A: Given information -------------------------------------------------------------------------------- ...

Q: 1 dx x2 + 3 3. dx x6 + 3 4. cos² (x) dx x² + 3 5. A. The integral is convergent B. The integral is d...

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Q: y'=(x^2+y^2)/xy solve using homogeneous equation (diff eq)

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Q: The solution of the following linear differential equation xy' – 3y = - is y(x) = 2x – 1+ ce¬2x y(x)...

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Q: Square roots of 5(cos(120degrees)+isin(120degrees)) Find the roots of the given complex number in tr...

A: Given :square root of 5(cos120°+isin120°)

Q: Evaluate the integral. dx 9 2 4 16x- 81

A: This question can be solved by the concept of special integrals.

Q: Find the interval of convergence for the given series. E (n + 7)!(x + 12)" n=0 Select the correct re...

A: Let's find. 

Q: Find Zx if z = In. In y 1 – In y Z x Zx = 1/x In y

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Q: 2x - 3 dx x2 - 3x – 10

A: we need to evaluate the integral :

Q: K(do/dt)+Ri=E. solve the linear equation Where K, R, E, i, is constant

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Q: Find a linear homogeneous constant coefficient equation with the gen- eral solution y = (A+ Bx)e-2* ...

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Q: Question 3 (1 point) Suppose a, 3, and 7 are vectors such that = (3, 1, -5) and 7xa= (7, -7, 1). , b...

A: Find your answer below 

Q: Using double integration, find the volume of the solid bounded by the plane z = 0 and above by the p...

A: Using double integration, find the volume of the solid bounded by the plane z = 0 and above by the p...

Q: . Find the second derivative of y = 5sin x – 3ln x.

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Q: 1. Show that the lines having the equations 4x- 3y + 12 = 0 and 8x 6y + 15 = 0 are parallel.

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Q: A piston is seated at the top of a cylindrical chamber with radius 7 cm when it starts moving into t...

A: This is application of derivative problem

Q: Find the local maximum and minimum values and saddle point(s) of the function f(x,y) = x² + xy + y2 ...

A: The given function is: f(x,y)=x2+xy+y2+y Now, to find the stationary points, let fx=0 &amp; fy=0⇒2x+...

Q: QUESTION 4 Find the equation of the tangent line to the curve at (1, 4). y = x' + O a. x = 1 O b.y =...

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Q: sinrdr In(cosr – 3) | cosr -3 A cosr – 3 B In (cosr – 3) In (cosr – 3) cosr – 3 D sinr E) None

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Q: Find all the values of x for which the given series converges. Use interval notation with exact valu...

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Q: Determine the following information regarding each function step by step and then sketch its graph o...

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Q: rentiate both sides of the equation with respect to t. dV dh (P) dr +2arh dt dt dt (Type an exact an...

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Q: VX-2 H Evaluate dy/sx if O y=1X+1)“ Szx-1 at x=\ V(X+3)3 atメ=1 at X-3

A: Reupload other questions according to bartleby guidelines

Q: or thG following gr OGLOW.

A: Example (for concepts):

Q: Find all the values of x such that the given series would converge. (2a)" n7 n=1 The series is conve...

A: The given series is: ∑n=1∞(2x)nn7...(1) Let, an=(2x)nn7; n≥1

Q: 3) and (2, 4, 5) are vert

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Q: Find domain a 1 f(x,y)= (1/xy) 2 f(x,y)= sqrt(y-x^2)

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Q: Find the limit for the following functions: x-sinx 1-lim, x-Vx² + 2x 2- lim,-o

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Q: Comparison Test: Suppose that > an and) bn are series with positive terms. If n=1 n=1 an = C lim n-o...

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Q: Find the equation(s) of the tangent line(s) from xy^2-y-2=0 at x=1 (Use implicit differentation)

A: Put x= 1 to find the values of y and then find the equations of tangent.

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n= 4, c = 7 %3! P4(x) ...

A: Given:       fx=lnx, n=4, c=7   A taylor series is given by               fx=∑k=0nfkck!x-ck here n=4...

Q: How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate...

A: Given problem:- How fast is the volume of a cube changing when the edge is 15 cm if the edge is chan...

Q: In space coordinates, the xy plane consists of all the points of the form O (0, y, z) O (X, y, z) O ...

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Q: a4 -+C Ina a*dy A) True B False

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Q: QUESTION 17 How fast is the surface area of a sphere changing when the radius is 25 cm if the radius...

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Q: For a survey, students were assigned to either Ror group V. Combined, the students in both groups an...

A: Given problem:- For a survey, students were assigned to either group R or group V. Combined, the stu...

Q: 3. Given the matrix below, determine the following: a. Transpose of the matrix b. Determinant of the...

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Q: The distance between the points P(0, 0,4) and Q(7,6, 8) is V102 Select one: True False

A: According to question,Given points,P0, 0, 4 and Q7, 6, 8

Q: A snowboarder slides up from the bottom of a half-pipe and comes down again, sliding with little res...

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Q: Find the distance between the complex numbers in the complex plane. 5i, 6-4i

A: Distance formula in the complex number : d = (c-a)2+d-b2 where a+ib and c+id be given complex number...

Q: USG hG FOlloing graph of P'(X) tO UGS GriDG thG benavior of fCX). Srate where P() ld inGrcasiNg accr...

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Q: Q Tanco da

A: