Differentiate log(x² + 1)² 4 log10 e а. x2+1 4x log10 e b. x2+1 a.

Q: (e* + y)dx + ( 2+x+ ye )dy =0

A: See the details solution in below

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given series is ∑k=1∞164k2+48k-7 Determine whether the series is convergent or divergent

Q: arccos 2x dx 3.

A: We will use integration by parts. The solution is given below.

Q: 2. 49

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Q: ORDER DEGREE LINEAR OR NON- LINEAR x*y" + xy" = e* (y')? – 3yy' + xy = 0 d2 ds t dt t2 = 1- sint dt?...

A: See the details solution in below

Q: Please do numbers 3 and 5

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Q: Find the lengths of the unknown sides in the right triangle.

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Q: Evaluate the limit |t +5| lim t→ - (5) t + 5

A: we have limt→ -5-t+5t+5

Q: In | lim x |

A: We can solve the limit as below 

Q: If ö1 = (3, – 3) and v2 = (– 8, 8), then find 601 + 702. Type your answer in component form, (where...

A:

Q: Express as a difference of logarithms. a log-

A: Property of logarithm: log(m/n) = log(m) - log(n)

Q: d the exact value of each part labeled with a variable in the figure. =b fy your answers, including ...

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Q: Consider the following integral: dx I = Vx - x² a. Use the substitution u = x - ; to show that I = s...

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Q: C. . Solve the initial value problem: 2xydx + (2y2 – 3x²)dy; y(0) = –1.

A: C is homogeneous Differential equation

Q: (x - 2y +4) dx + (2x-y+ 2) dy =0

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Q: x(х + 1)(х — 2) 54. у 3 %3 (x? + 1)(2х + 3)

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Q: A right circular cone with radius 3 cm and height 6 cm is submerged point first into a tall cylinder...

A: I am attaching image so that you understand each and every step.

Q: Use any method to determine whether the series converge. (a) E 9k The series

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

Q: 2. z4+5²

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Q: Solve the limit using table of values.

A: Given that: r(x)=x-2x+5,               x≤-44,                       -4<x<0x2-7x+4,          0≤...

Q: (b) If f(x) = E anx", specify the domain of f. n=1 Based on your answer in Question 2(b), explain wh...

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Q: is Convergent Determine whether each those that are convergent. integral divergento Evah or In X

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Q: fit) 구 4- -jo -9 -8 -7 -6 5 4 3 -2 -1 8 9 10 -8 -9 Estimate lim f(t) t→ - 2

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Q: Eliminote the orbitrary constants x = k +ct, y= c*t² Find the differential equation of the plane cur...

A: Order of differential equation (D.E) = the number of arbitrary constants in the given relation.The D...

Q: Use the Laplace transform to solve the initial value problem y" + 4y' + 3y = 0 y(0) = 2, y'(0) = –1 ...

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Q: For the given vector function below, find the equation of the plane that contains the osculating cir...

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Q: Solve the differential equation: dy = (y2xex3-3x2y) dx Please also state which or the following wa...

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Q: Evaluate the integral. 8t3/2i + (t + 8)vtk) dt

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Q: Reduce the given system to echelon form to find a single solution X1 + 7x2 +3 x3 + 11 x4 = 0 2x1+ 7x...

A: T

Q: Find the area between y=2sin⁡x and y=3cos⁡x over the interval [0,π]. Sketch the curves if necessary.

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Q: dx (3 + 4x – 4x²)/2

A: NOTE: Refresh your page if you can't see any equations. . add and subtract 1/4 ..................

Q: Show that the limit xłycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

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Q: One leg of a right triangle is 7 cm shorter than the other leg. How long should the shorter leg be t...

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Q: 2 Let R be the region of the 1st quadrant surrounded by a curve. X : + 2 straight straight line line...

A: The region is bounded by,       x=y2+2 ; y=4-x and x=2

Q: Find an equation of the surface of revolution generated by revolving the plane curve about the indic...

A: Given equation: x2=4y    which has to be revolved about the y-axis.  

Q: (D²+1) y 4 see X . ニ

A: 1. We know, ∫secnxdx=n-2n-1∫secn-2xdx+secn-2xtanxn-1   Given differential equation, D2+1y=sec4x........

Q: Question 2 For positive integer n, let a, (-1)"n 3" (a) Determine whether the sequence {an} is conve...

A: Let <an> be a sequence such that an≠0 for all n∈ℕ and an+1an→l . If l<1 ,then limn→∞ an=0.

Q: Let f(x, y) = 6x – 2ry and the point M(5, 9). Among all unit directions, there is a unit direction (...

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Q: Let z be a function of x and y defined implicitly from the equation 9ye" - 5 cos(y+ z – 1) = 7x – 12...

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Q: Solve for the orthogonal tragectories y²= 4x (1- kx) %3D

A: This question is based on differential equation.

Q: Consider the function f (x) = 3x – 6|. -

A: Given problem:- f(x) =|3x-6|  To find:- How is differentiability related to limits Rewrite f (x) as...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given

Q: floor refinishing company charges $1.87 per square foot to strip and refinish a tile floor for up to...

A: (a) To find: The equation for the amount C they will charge to refinish a floor when x≤210 Given inf...

Q: What are the critical numbers of the function? f(t)=8(t^2/3)+t^5/3

A: We have to find critical numbers.  

Q: (b) If u = x? cos y+ye», where x= s+2t and y = st, prove that ди 2- ди = (s – 21) (x² sin y – xye" –...

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Q: 3 1-x²-y² e-3(x²+y²+z²)² dz dydx 1-х2 a) Evaluate e-3(x²+y²+z?)² dz dydx

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Q: (a) Show that the limit x*ycosy lim 12 (xy)→(0.0) 2x* +y² does not exist.

A: Student has specifically asked for the solution to question (a). 

Q: For which positive integers k is the following series convergent? Σ (n!)2 (kn)! n = 1

A: We have to find the value of K so that given series converges. 

Q: Evaluate, with the order of integration being reversed, an equivalent integral of the following inte...

A: Consider I is the value of double Integration.

Q: Differentiate y = sin(3x + 4y) cos(3x+4y) 1+ 4 cos(3x+4y) з cos(3x+4y) 1+4 cos(3x+4y) cos(3x+4y) a. ...

A: y=sin3x+4y