Let sequence (tn) = (1 , 0 , - 1 , 0 ,1 , 0 ,-1 ....) What is the lim sup (tn) , and lim inf (tn) ?

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Q: 6 5 y = 4 3 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 Ta -6 Write an equation for the function graphed…

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Q: Use the Maclaurin series e² = and the definition sin(z) = n! n=0 to find the Maclaurin series for…

A: A maclaurin series is the series representation of a function. That is f(x)=∑n=0∞fn(0)n!xn

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Q: A small bakery offers two types of Christmas cake – a Salty Caramel Christmas cake ( X ), and an…

A: They must produce at least two salty Caramel Christmas cakes, that is X≥2. So option c is wrong.

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Q: 7. Continuous Compound One thousand dollars is deposited in a savings account at 6% yearly interest…

A: Given amount P $1000 Rate of interest r%=6 Final amount A=$2500

Q: A. Generate solution of the higher-order differential equations using different analytic techniques.…

A: Please find attachment

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Q: Determine the Laplace Transform of the following functions. If possible, express the answers as a…

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Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = tan(x + 3y+z) . F(x, y, z) =

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Q: Determine if the following vectors are orthogonal. 44-4 a= Select the correct choice below and fill…

A: Solution :- Two vectors "a" and "b" are orthogonal only if , a.b = 0

Q: e *The profit function for a computer company is given by P(x) = −x² + 31x − 10 where x is the…

A: Solution:-

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Q: Find the upward flux of F(x, y, z) = through the part of z = 8 - 2x² – 2y², 0 ≤ z ≤ 6.

A: The given problem is to find the upward flux of the vector field over the given surface z=8-2x2-2y2…

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Q: 2. Prove that if ar b (mod n), then () x = () (mod ()) where d = gcd(a, n). Apply this result to 5x…

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Q: What theorems are available for calculating limits of sequences? Give examples.

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Q: the new bounds should be 1 to 4

A: Yes, the new bounds should be 1 to 4.

Q: Consider observations (Yit, Xit) from the linear panel data model Yit = Xitβ1 + αi + + λit + ui,…

A: Given Data: Consider αi + λit is an undeserved individual specific time trend, so by using the…

Q: Find the volume of the solid bounded below by the circular cone z = 2√√x² + y² and above by the 2…

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Q: Express in cylindrical and spherical coordinate systems. Cylindrical Spherical Coordinates…

A: (a) Given that, Ray X=Y=Z in the 7th Octant. We are asked to find the equation in…

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Q: For parts (a) to (c) of this question, we consider the 2 × 3 matrix A = 1 1 0 011 9). (a) Compute AT…

A: Since you have posted multiple questions with multiple subparts, we will provide the solution only…

Q: 1. The integral In -6.³ cos" t dt, where n is a non-negative integer. n-1 In-2, if n ≥ 2. n (b) Find…

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Q: Change the order of integration in the integral Reverse the order of integration. SS f(x,y) dy dx…

A: Sol:- To change the order of integration , first plot the graph of  x = y2 x = y

Q: Determine g(1.3)  for the following function: g(x)=2[x]+5 .

A: Here the given function is g(x) = 2x+5

Q: 3. Records from a factory producing electronic components show that, on average, new employees can…

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Q: Simplify the sums given below. (1) + ¹ (1) + ¹² (2²) 4n ™ ¹″ (3) − 4¹ -¹ (1²) + 4²¹²¹² ( 2 ) + . . .…

A: Here we have to simplify the given sums by using the Binomial theorem. The Binomial theorem is given…

Q: Given the function f(x) = 3x² + 2x on the interval -2 ≤ x ≤ 2 (a) Find the Fourier series expansion…

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Q: Advanced Math Question

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Q: Solve: y" + y'tanx = (y')²

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