Test the series below for convergence using the Root Test. 1 поп The limit of the root test simplifies to lim f(n) where n→x f(n) = The limit is: (enter oo for infinity if needed) Based on this, the series Converges О Diverges

Q: LET A BE THE AREA OF A CIRCLE W/RADIUS r. - IF dr/dt = 4, FIND "HE WHEN r = 5

A: Let us use the concept of time rates or related rates for this problem. First, recall that the…

Q: Fast please..

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Q: 3 Determine the values of a, b, c and d so that f(x) = ax³ + bx² + cx +d has inflection at the…

A: We are given a cubic function f(x)=ax3+bx2+cx+dand we are given two points on the curve (0,0), and…

Q: Leah needs to find the exact coordinates of the centroid. She is struggling. Please help her by…

A: 1: Sketching the Region:We'll sketch the region bounded by y=x,y​=0 and  x=4 in the xy-plane.The…

Q: Define two vector functions (t) 9 sin(t)+7 cos(t)] + (t³ - 15) k = = (t) 7 sin(t)+9 cos(t)] + tk = .…

A: Step 1:Step 2: Step 3: Step 4:  Thanks...

Q: A 67 kg skydiver jumps out of an airplane. What is her terminal velocity in miles per hour (mph),…

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Q: Given: x= 10- t2, y=t3 – 12t a) Find the values of t that make the tangent horizontal or vertical.…

A: Step 1:a) Finding Values of t for Horizontal or Vertical Tangents: To find the values of t that make…

Q: solve and replace in the equations

A: Step 1: To solve the system of equations, we can use substitution or matrix methods. Let's first…

Q: 1. Let f(x) = cos(tan x). What is the range of f 3. For 0 < x <- <x<, if y = (sin x)*, then find 2…

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Q: A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process.…

A: From item (a), the exponential model for the flow rate is,R=e6.072−0.6243t Solving for the define…

Q: Find the curvature of the twisted cubic r (t) = at the general point and at (0, 0, 0)

A: Ans:Page1Ans page2

Q: Evaluate d Vt2+2t dt dx 2

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Q: No hand written responses. I need help with this equation that is at the very bottom. I need a…

A: Step 1:Step 2:

Q: solve and replace in the equations

A: Step 1: Step 2: Step 3: Step 4:

Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

A: The lower estimate will be -----…

Q: 5. Find the general solution to the first-order linear differential equation y' : - sin x = xe y cos…

A: Step 1:

Q: Jim's Camera shop sells two high-end cameras, the Sky Eagle and Horizon. The demands for these two…

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A: Given that,t=0 and t=15 are the intervals of,v(t)Area under the curve, v(t) is,Area =…

Q: Hello, please answer for my practice test so I know if i'm solving correctly, thank you!

A: i.) Positive f'(x) means an increasing value of f(x), then, from the graph, these are at (-∞, 0) and…

Q: 1 Write the parametric equations x = 1 + ½ 2, y = t − 2 as a vector function, and then plot the…

A: Step 1: Step 2: Step 3: Step 4:

Q: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: So, we get answer.The easiest way is to use a graphing calculator, such as Desmos. Method 2So, the…

Q: 8 Explain why the form 1 is indeterminate and cannot be evaluated by substitution. Explain how the…

A: Step 1 Indeterminate Form 1∞: When we have a limit of the form 1∞, it's indeterminate because the…

Q: Find two positive numbers such that the sum of twice the first number and three times the second…

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Q: Calculate the work done by the field F(x,y) = ⟨-2y, x⟩ in moving an object along the path which is…

A: To calculate the work done by the vector field F(x,y)=⟨−2y,x⟩ along the quarter circle path from…

Q: I just need you to help with question i) using the graph

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Q: Given f(x, y) = -4x³- xy + 2y², find the following numerical values: f=(0, 4) = fy(0, 4) =

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Q: For the following composite function, find an inner function u = g(x) and an outer function y = f…

A: Given function isy=tan(3x5)Let u=g(x)=3x5 then y=tan(u)y=f(u)=f(g(x))Now we find dxdy​.The…

Q: 12

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Q: Evaluate the definite integral. π/3 ³ sec(t) (tan(t) ° sec(t) (tan(t) + sec(t)) dt = Hint: First…

A: Step 1: Simplify the given integral :∫03π​​sec(t)tan(t)+sec2(t)dtStep 2:Seprate the single integral…

Q: 4. 4

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

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Q: Find the equation of the plane containing the points P = (-3, 0, 2), Q = (-1, -1, 2), R = (-5, 3,…

A: The objective of this question is to find the equation of the plane that contains the three given…

Q: (3 and 4) Explain how to solve these question in detailed steps.

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Q: 8

A: We can estimate the Riemann sum using left and right-hand endpoints by calculating the width of each…

Q: Solve the following for x:

A: 1)To solve the equation ((1/5)x+1=125x), we can rewrite (125) as (53) since (125=53). Then the…

Q: Represent их as a Power senes. 9+ X

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Q: 1. Find all critical points of this function. f(x, y) = 7x8y+2xy - x² + y ³ Then classify each…

A: Step 1: Step 2: Step 3: Step 4:

Q: To test this series for convergence ∞ 2 n² +4 n4 + 2 n=1 You could use the Limit Comparison Test,…

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Q: Find a general solution for y in terms of x that satisfies the first-order linear differential…

A: Thanks for your patience!Kindly comment if you need any clarifications.

Q: Let E be the solid in the first octant bounded by the planes x = 1, y = 2, and z = 3 with density…

A: To find the mass of the solid E with the given density function  ρ((x,y,z)=1+x+yz , bounded by the…

Q: 11 12 Adam Sadowsky 13 ************* 14 #include 15 04/05/2024 ******************/ double…

A: It looks like you're working on a C program to calculate the average of elements in an array. A…

Q: Of all rectangles of area 441, which one has the minimum perimeter? The rectangle that has the…

A: To find the rectangle with the minimum perimeter among all rectangles with an area of 441, we first…

Q: Using the attached theorms, Solve dx/dt =2x+4y , dy/dt=-x+6y

A: Reference: Differential Equations, Linear Algebra

Q: Find equation of Tangent line for g(x)=x2/(x−1) at (2,4)

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Q: Consider the differentiable function f(x) = ln x-x+8 on the closed interval 1 ≤x≤2.9. What is the…

A: To apply the Mean Value Theorem (MVT), we need to check two conditions:Continuity: The function f(x)…

Q: 1 Find the absolute maximum and minimum, if either exists, for f(x) = x + —.

A: Since x must be positive, there are no endpoints in this case.Behavior as x approaches infinity: As…

Q: Find a plane containing the point (2,2,-5) and the line r(t) =&lt;-6, -3, -7 &gt; + &lt; 6, -6,1…

A: Steps are explained in the image:

Q: Find the area of the shadal aren y=e X= In4

A: Steps and explanations are as follows;In case of any doubt, please let me know. Thank you.