Use the ratio test to discuss the Con vergence or divergence of the seríes which s the Sum from n1to terms &n =- infiníty of the ず こ

Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

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Q: C. VARIATION OF PARAMETERS 1. (D² + 1)y = secx tanx 2. (D2 – 3D + 2)y = 1 1+e-x

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Q: Calculate the work done by the field F when the object moves along the given path from the initial…

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Q: 6. Change the order of integration and evaluate the integral y+1 у? dxdy -1 Vy+1

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Q: Use a change of variables (and the Jacobian) to find the volume of the solid region lying below the…

A: Let's find.

Q: Find u · v, u· u, ||v||2, (u· v)v, and u · (3v). u = (4, -2, 5), v = = (0, 6, 3) (a) u V (b) (c)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Solution is given below:

Q: Exercise 1.11: For each of the following differential equations, identify its order, degree, type…

A: Highest order derivative in Differential equation is called order of differential equation .  Degree…

Q: 2) Find the first derivative of y = sec1(2e3*)

A: To find the first derivative of the given function.

Q: Consider the following. u = (6, -1, 0) v = (-6, 5, 0) Find u x v. Determine if u x v is orthogonal…

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Q: 3. S w°cosw dw

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Q: Find the curvature K of the curve. r(t) = 9 cos(nt)i + sin(at)j K =

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Q: (-1)" Clasificar la serie como absolutamente o condicionalmente convergente E1 Vn Diverge O Converge…

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Q: nd the component form and magnitude of the vector v with the given initial and terminal points. Then…

A: We can solve this as follows:

Q: List the first 5 terms of the sequence. 1 22 3n 3n3 32 3n n2 3n (b) -2)n+1 + 3" (a) an =

A: For (a), Given: Now, an=13n3+223n3+323n3+...+n63n3   =13n31+22+32+...+n2   =n+1n+22n+363n3…

Q: Question A spherical balloon is being filled with air at the constant rate of 10 cm'/sec. How fast…

A: This is a problem related to rate of changes. Based on the formula of volume of sphere we will…

Q: The two figures are similar and regular solids. Find their mass if the sum of eir mass is 120g. e1 =…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: 14

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Q: Find the point that is 2/5 of the distance from C to D.

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Q: Q8)Problem Kong1: Solve for the general solution of the equation: 2x’’+ 200x = 0. Show all math…

A: This is a problem related to second order differential equation. Based on the integration concept we…

Q: Given the price-supply function p = S(x) 10(e0.05z 1), find the average price (in dollars) over the…

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Q: 1. Consider the graph of the function f(x) = 1.a. Is the function f (x) continuous at x = 1? Justify…

A: We need to find if the function is continuous or not in given interval.

Q: Solve for the function f(t) of the Laplace transform. S-1 F(s) (s+1)(s²+4)

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Q: Consider the following. u = 3i - j- k, v = -i + 5j + 7k %3D (a) Find the projection of u onto v. (b)…

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Q: Verify that the two planes are parallel. --x + 6y + 2z = 7 *+ 3y + z = 8 Find the normal vector, n,,…

A: The normal vector to the plane ax+by+cz=d is given by n=a,b,c

Q: Find the intervals on which f is increasing and decreasing. f(y) = sin y - y cos y on 2' 2

A: Find your answer below

Q: given magnitude and the same direction as u. Magnitude ||v||-5 Direction u- (-4, 6, 4) Submit Answer

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Q: p(x, Y, z) 4 – x2 – y²

A: Given problem:-

Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given…

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Q: Find the limit of the sequence: 4n? + 2n + 3 An 4n2 + 6n + 2

A: limn→∞ 4n2+2n+34n2+6n+2=limn→∞ 4+2n+3n24+6n+2n2=limn→∞ 4+2n+3n2limn→∞ 4+6n+2n2=44=1

Q: Find the domain of r(t) and the value of r(to). NOTE: Rownd your answer to two decimal places when…

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Q: Consider the following. u = (2, -1, 0) v = (-2, 3, 0) Find u x v. Determine if u x v is orthogonal…

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Q: (e) Alternating Series Test: Σ (-1)"-2 3n + 3n

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Q: 里() t² + 5 1 lim t一+05t2 +6'2t (?, ?)

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Q: Find the direction cosines and angles of u and show that cos? a + cos? B + cos? y - 1. (Round your…

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Q: Many statistics courses cover a topic called multiple regression. This provides a means to predict…

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Q: dx 7. J x3 Vx2-4

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Q: 3. The value of a certain baseballcard (in dollars) tyears after 2015 varies according to the…

A: Given function describes value of card t years after 2015

Q: Use the Limit comparison Test to establish the convergence ovpodivergence ofthe the Sum from Series…

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Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 410 N/m as shown in the…

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Q: Find the equation of the circle with center at (4. -1) and passing through the point (2. -2).

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Q: (a) Estimate the area under the graph of f(x) = 2 + 4x2 from x = -1 to x = 2 using three rectangles…

A: The given function is: f(x)=2+4x2; x=-1 to x=2

Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Plan A: f(t)=3090000e0.02t⇒f(5)=3090000e0.02×5⇒f(5)≈$3,414,978

Q: For the sequence defined by: a1 = 2 2 + 1 An %3D An+1 Find: a2 %3D a3 = %3D %3D esc ->

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Q: Find the line integral of F = (6x - 3x) i+3z j+k from (0,0,0) to (1,1,1) over each of the following…

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Q: 8. xy +y2 - x2y' 0

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: To solve the following problem

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 4, -7) and the vector component of v…

A: Given,            V= <4,-1,7>            b =< 4,4,-7 >

Q: F (x, y, z) = x²yz² – 3xy°z + 2y°z²

A: