Are the following convergent or divergent? Show your work and state the reason 100 11) Ση n=0

Q: what is of the waximal domain gla) = Inf2x)

A: Maximal domain is the largest set of real numbers for which the function is defined. The given…

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A: We have to choose correct option.

Q: Find the general solution of the following linear second order homogeneous O.D.E.: ý + 2ý – 15y = 0

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 6, Vf(4, 2) = eBook

A: A detailed solution is given below

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Q: Find the area of the region that is enclosed by the cardiod r = 16 + 16 sin 0. %3D

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Q: Determine whether the following series is convergent or divergente: (- 1)" n = 1 n'+5

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Q: dy (2xy + x²) = 3y² + 2xy dx %3D Choose... Choose... Homogeneous Differential Equation Differential…

A: From the given differential equation find the type of differential equation

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

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: Consider the planes x – 10y – 2z = 3 and 2x – y + z = -13. Find the following. 1. A vector…

A: The given planes are: x-10y-2z=3 and 2x-y+z=-13 Let us assume z=t on the line of intersection, where…

Q: Use the EraPh to fal evaluate te linit f(x) it

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

Q: Solve the following differential equations of (2x* +y)dx+(x'y-x)dy = 0

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Q: mum/relative minimum or neither. ive. Then determine the intervals where f(x) concave down.

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: Given :r(t)=F(t)+G(t), where F(t)=costi - sin tj +6tkG(t)=2 costi + sin tjTo find : The domain of…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

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Q: Knowing that harmonic series is divergent, which of the following series is also divergent by Limit…

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Q: The range of the function f(x,y) =16-4x-9y is equal to. [0,1] [0, 16[ This option O This option [0.…

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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: Which of the following series is convergent? 2 n 3 n=1 3 n n=1 O None of them. n 4 n=1

A: Check the condition of convergence and divergence.

Q: Find the limit. lim (t i – 6 j + r² k) lim (1 i- 6 j+? k) = i i+ i j+

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Q: The figure shows the level curves for a function f over a square region R. Approximate the integral…

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 8 cos(t)i + 5 sin(t)j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A: Solve it.

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Q: Find the exact arc length of the curve x = + 2) ? from y = 1 to y = 8. 3 Enter the exact answer. L =

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Q: sin t = (eit – e-i#)

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is 1.…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 9 Determine whether the series 9. 9. +...+ 9. +... is convergent or 100 1002 1003 100" divergent. If…

A: 9100+91002+91003+.....+9100n+...common ratio:a2a1=a3a2=1100First term: a=9100common ratio:…

Q: 2. Given {-t,-n St< 0. f(t) = {t, 0stsa f(t) = f(t + 2n) (i) Sketch the function for 3 cycles. (ii)…

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Q: 2. A golf ball is thrown up from the surface of Planet X (a made-up planet). The position s of the…

A: s(t)=-0.6 t2 +48 tvelocity is obtained by differentiating position functionv(t)=s'(t)=-1.2…

Q: A ALEKS - J'Angello Farrington X Messenger www-awu.aleks.com/alekscgi/x/lsl.exe/1 0- う O EXPONENTIAL…

A: Here we are given a function which is defined by the following rule  f(x)= (1/4)-x And gor different…

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: Tristan will deposit $196 into an account every two weeks (26 times per year). The account earns an…

A: Given that Tristan will deposit $196 into an account every two weeks (26 times per year). The…

Q: dy Solve dx (25 + x²)(49 + y²)

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Q: 4y" – 0 +12y' + 9y - 0 e. f. y" – 6y' + 9y – 0

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Q: 5. In antidifferentiation, the formula § x" dx + Cis valid if? %3D (n+1) А. nER В. п# 1,п€ R С. п€…

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Q: Use the situation below to answer the following problem: The population of Guinea pigs in a certain…

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Q: APPLICATION: 1. A pigpen is to be enclosed using 640 m of fencing along three of its sides, the…

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Q: OR = {(r, 0): 0 <r< 6 cos(30), 0 < 0 < n}

A: Follow the procedure given below.

Q: (a) Find an equation of the tangent plane to the surface at the given point. x + y +z = 11, (4, 5,…

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Q: Water is fallins on a surface vettins A Greuer arca that is expanäns at a rate of 9/S. hov fost is…

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Q: y" + 6y' + 13y – 0 9y" + 9y' + 4y –0

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Q: (r+)) (r-3) Gruen ( 3n2 find ŕ> which makes the power of x equal to 5 and find the of 2° coefficiend

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Follow the procedure given below.

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan Y. (4, 0,…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = V x2 + y2 + z? (8,…

A: Gradient of function fx, y, z=x2+y2+z2 at  point 8, 7, 3

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y2…

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