Determine wnea ther the sequence con verges diverges. Lf It converges Find or its limits. an : cos (nr) 357

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A: Given  and

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Q: be Integral Test is applied to the following series? 4 n + 3 n=1 Select one: Integral Test cannot be…

A: Explanation of the answer is as follows

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A: Explanation of the answer is as follows

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A: We need to check the convergence of the series :

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Q: Evaluate: 5° (-0.45)'(-1)10+i 212- 3D1

A: The given expression is: ∑i=1∞-0.45i-110+i2i2-i We can rewrite this as: =∑i=1∞-0.45i-110+i2i2i…

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Q: The order and degree of the following equation is dy y = px – Va?p² – b²,where p = dx

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Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A: Given query is to find the height of the ball at t = 5 second.

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A: Solving the problem by finding the derivative of the below function.

Q: = [[[In(x² + y² )dxdydz

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Q: (y + 1)dx + (4x - y)dy 0

A: Explanation of the answer is as follows

Q: Use APQR, as needed, to complete the given parts. Part 1: Let h be the height of APQR. Find the…

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Q: 2. Let f(x) be a function of period 27 such that f(r) = over the interval 0 < x < 2n. 2 a) Sketch a…

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Q: Let y = tan(4æ + 5). Find the differential dy when a = 5 and da 0.2 %3D %3D

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Solve the following differential equations of (3x'y+ 2xy + y' )dx +(x' +y°)dy =0

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Q: Find dy for dx a) y = xx+3 b) y = [ex(2x2−1)5] /  x2 √(2x+1)

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A: Let's find.

Q: Select the answer option that corresponds with polar coordinates (4, –120\degree). 兀 90° 2 WIN 135°…

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Q: tch the vector field with its graph. F(x, y) = yi y 事 5 -5- -6+ y 1信 I 5 5 -5+

A: Given  F(x,y)=yi Option (1) is correct by given graph

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Q: Find the Cartesian coordinates of the point (−√2,(5π)/4)

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Q: Evaluate the triple integral xy dV where E is the solid tetrahedon with vertices (0, 0,0), (6, 0,…

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Q: Solve the initial value problem: y" - 12y' + 36y = 0 ; y(0) = 2/3 , y'(0) = 0

A: We want to find solution of the given initial value problem.

Q: Consider the lines defined by the equations {3 : a – 3 = y – 5 = z – 6 and 4(s) = (-2 – 2s, –2s,6 –…

A: Given lines are: l3: x-3=y-5=z-6 l4→s: -2-2s, -2s, 6-2s   We compare l3: x-3=y-5=z-6 or l3:…

Q: Write each sentence in symbolic form. Use p, q. r, and s as defined below: p: Stephen Curry is a…

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Q: The series E, an is convergente then the series E(an) is also convergente Select one: True O False…

A: 1.The series ∑k=1∞an is convergent then the series ∑k=1∞an2 is also convergent.2.If ∑n=0∞an is…

Q: Select the answer option that corresponds with polar coordinates (2, 90\degree). 90°2 WIN 135° 45°_…

A: Given query is to find point of the coordinate (2,90°)

Q: Evaluate the line integral F dr where the vector field and the curve are defined as follows: F(x, y,…

A: Given problem:-

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Q: Find both first partial derivatives. z = 10y?/x az ax az ду II

A: Solution-

Q: A ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t…

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Q: Find the gradient of the function at the given point. g(x, y) = 6xeYlx, (14,0) Vg(14, 0) :

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Q: x- 1. a. Find the derivative of y =

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Q: A 20-foot cable weighs 80 lb and hangs from the ceiling of a building without touching the floor.…

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Q: graph of the function arcsec(x).

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Q: Consider the curve y = 4x3. The sketch of the portion of this curve between x = – 1 and x = 8 is…

A: Arc length formula:L=∫ab1+dydx2 dxy=4 x23dydx=423 x-13dydx=83 x-13

Q: Derivatives: Determine the derivative of the following using the definition (4 step rule). 1.…

A: Since you have posted many question, as per company guidelines we will solve first three for you. To…

Q: Identify the range of arctan(x) so that the relation is a function. ) - TI< y< 7[ 00<y<

A: here range of arctan(x) is -π/2 to π/2 because if we put π/2 it give infinte value  so range…

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Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

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Q: A doctor prescribes 150 milligrams of a therapeutic drug that decays exponentially. If the half-life…

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Q: Choose the point which shows the correct location for the polar coordinate (3, –45°). 90° 512 WIN 4…

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Q: Find a point on the hyperboloid x2 + 4y2 – z2 = 1 where the tangent plane is parallel to the plane x…

A: Given  and plane