Determine whether the alternating series converges. Σ k + 1 7k + 1 k=1

Q: Evaluate the indefinite integral. S(4v – v²)² dv , and Show the complete solution and express the fi...

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Q: Hew.3 Find dw and Dw when P=ty 9=4if- the de it W =Xy +y2+Zu +uV and x= Pa, y=4 tan P V = P+4+1

A: Given,           w=xy+yz+zu+uv and x=pq , y=qtan-1p , z=lnq-3p , u=q+5p ,           v=p+q+1To find :...

Q: Rewrite the rational expression using the method of partial fractions. 4(v)(y+ 2)(y – 3) 4y2 - 2y – ...

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Q: Use sigma notation to write the Taylor series about x = xo for the function. 3 ln x; xo = 1 Σ k =

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Q: The derivative of the function y = x(tan-(3x))? is: Lan"as (1n)tan a the above the above tan"oa + (1...

A: This question is based on chain rule differentiation.

Q: Find the derivative of y = = Ve-5t +1 dy dt ||

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Q: Correct. Determine whether the series converges. 1 Vk +9 O The series converges. The series diverges...

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Q: Solve for the interval of convergence and show the solution for the testing of endpoints +0o (-1)"+1...

A: The given series is Summation of (-1)n+12nxn/(n2+3); n from 1 to infinity.

Q: The radius of a circular oil spill after t minutes is given by r(t) = V4t. Find the instantaneous ra...

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Q: е. f(x) 3D (2x3+ 4)5

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

Q: (х — Зу + 3)dх + (3х + у + 9)dy 3D 0

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Q: +oo 1

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Q: The height (in feet) at any time t (in seconds) of a projectile thrown vertically is h(t) =-16t2 + 2...

A: We have to find the velocity when hits the ground

Q: II. Determine whether the following sequence is convergent or divergent. Justify your answer. {I+u^ ...

A: A sequence unn∈N is said to be monotonic increasing if un'≥0 ∀n∈N A monotonic increasing sequence is...

Q: You record the temperature every hour from midnight until 8:00a.m. You see that the temperatures (in...

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Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find B(t) att = ) =+ 4 B(t) B(t) %3D Option 1 Option 2 ...

A: This is a problem related to vectors. Based on the unit tangent vector method we will solve the give...

Q: * = cos(x + y), when x = 0,y = %3D dx

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Q: Solve the problem. Round your answer, if appropriate. A man 6 ft tall walks at a rate of 7 ft/sec aw...

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Q: Correct. Use the ratio test for absolute convergence to determine whether the series converges or di...

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Q: Let f(x)=-2x-10x+12 a)Find the intercepts b)Sketch the graph of f(x)

A: topic - quadratic equation 

Q: Find the partial derivatives of the function f(z, y) -öy =Iye fz(E, y) = fy(z, u) = fay (포, y) = | f...

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Q: A university system has a total of 40 new computers to distribute to each of its three campuses. Aft...

A: Option a - Alabama paradox will occur and campus A will lose a computer

Q: Find a polynomial of degree 3 that has zeros – 1, and 2 such that the coefficents are integers 2'

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Q: Use transformations on the basic function listed below to write a rule y=f(x) that would produce the...

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. x3 + y3...

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Q: Given the taylor series at 0 for 1/(1-x2) has an an of x2n: Find the Interval of convergence of thi...

A: use the ratio test for interval of convergence of series .

Q: 4- if f(x)= {† * *S S2 +x x 15 is this function is continuous or dicontinuous a) continuous b) dicon...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Ex: Find gof, Fex) メ-15 2. gcx) = gox) x+2X

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Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: %3D

A: Formula:ddx(tan x) = sec2xddx(ln x) =1xddx(xn) =n xn-1

Q: An oblique triangle is also an isosceles triangle. If the congruent angles each measures 64.6 degree...

A: The measure of two congruent angles of an oblique triangle is, x = 64.6° To evaluate: The measure of...

Q: the integral , dx is equal to: -2 x2+4x+5 4 2 the above the above

A: We will find the solution of the integral. 

Q: 3 y2 + yi = 1, when x = 0, y = 4 %3|

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Q: 1 17. dx .2 + 4x + 5

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Q: (4-5 vx)* Evaluate the indefinite integral. J

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Q: Find the vertex, focus, and directrix for the parabola (y – 3)? = 24(x – 1) Vertex: Focus: Equation ...

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Q: yi+ yž = 1, when x = 0, y = 4 %3D %3D

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Q: Find the derivative of  (x + 1)³ / x

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Q: Determine if the following sequence converges or diverges and find the limit if possible. Sin(n + 1)...

A: To find the solution

Q: Suppose that the functions fand g are defined as follows. f(x) = - 5x2+1 g (x) = Vx+3 Find f-g and f...

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Q: 12. The line y = 8x + b is tangent to the curve y = 2x². Determine the point of tangency and the val...

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Q: Let U be the set of integers. Let A = {3,6}, B = {3, 8, 10, 12} and C = {6,8,10}. Perform the indica...

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Q: A company plans to manufacture a rectangular container with a square base, an open top, and a volume...

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Q: Part 1 of 4 Show that v = ai + bj is perpendicular to the line ax + by = c by establishing that the ...

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Q: Activity 1: Find the value or values of x for which the curve of the following functions has a point...

A: Our Aim is to find the values of x for which the curve of the followingfunctions has a point of infl...

Q: 9) Find the center of mass of the plate of uniform thickness and density formed by the curves: y=4-x...

A: To find the solution

Q: B. find y' and y" 5x+2 1. y = %3D 3x-7 2. y = (x2 +x + 1)2 C. 1. If f(x) = Vx find,f '(4) and f "(4)

A: Topic = Derivative As per guidelines , At a time only three sub-parts can be answered. please repost...

Q: What is the reference angle of 278° 18'. A. 8° 18' В. 81° 42' C. neither A nor B

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Q: Suppose z = f(, y) = (x² + 4) sin(y) + xy². By setting one variable equal to a constant (either x = ...

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Q: 5- for y = (x² + 1)5 dx a)10(x² + 1)5 b) 10x(x² + 1)* c) (x² + 1)* 6- Sin 2x is equal to: a) sin x c...

A: Answer of the above questions are

Q: Consider the following: 36x + 49y- 1764 (a) Find two explicit functions by solving the equation for ...

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