Discuss about hairy ball theorem in comprehensible way.

Q: 3 Find the Minimum distance from the origin to the plane X+2y-z=5

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Q: Problem 3 Given: Arg (Ln(z)) = 3 (radians) and |z| = 70. Find S Im(z) + Re(z) = Problem 4

A: Since ,we know that, Ln(z) = ln|z| + iArg(z+2n)Let us use the principal part of logarithm, i.e,…

Q: 2. Use Squeeze Theorem to evaluate lim sin(sinh x) csch z. 8118

A: Squeeze Theorem: If f(x)≤g(x)≤h(x) for all x and limx→af(x)=limx→ah(x)=L then limx→ag(x)=L We have…

Q: 11 900006 8. Answer the following questions. r (a) Use Pascal's formula to derive a formula for…

A: Follow the steps.

Q: Madeline has x quarters and y dimes, having a minimum of 18 coins worth at most $3.60 combined. No…

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Q: 3x - 1 is 11 13 79 continuous in and f'(x) exist :) then find th 14 11 13 7 9 at it lies in (13

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim x-3 (x-3) tan(9-x²)…

A: To Evaluate: limx→3(x-3)tan(9-x2)sin2(2x-6) without using L'Hopital's Rule

Q: Use the following definition of a Laplace transform. Let f be a function defined for t≥ 0. Then the…

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Q: where Su₁(x, t) = Urr(x, t), [u(x,0) = g(x), 1, g(x) = |0, = TER, t> 0, |x|≤1, x>1.

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Q: V. Given: (6,2 points) el3x-61-2, if x 3 1. Determine if f is continuous or discontinuous at x = 2…

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Q: Give an example of a function that is one-to-one but not onto. Give an example of a function that is…

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Q: H.w ☺ Sketch the Ⓒxsayd3dx @ O region of integration & evaluate the integral: B ر ولد * ؟؟ " -

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Q: Q2): A polluted lake has an initial concentration of a bacteria of (1*107 part/m³), while the…

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Q: A and B are matrices, and A~ B. Indicate whether each statement is always true or possibly false.…

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Q: Find the general solution to the following equations. 1. x²y" — (y')² – 2xy' = 0

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Q: (a) Consider (3,6) and (2,4) as elements of Z7xZ7. Compute (3,6) - (2,4). (b) Consider (3,6) and…

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Q: 7. Determine the lowest positive root of f(x) = 7 sin(x) e-* - 1: a. Using Secant Method with…

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Q: ify and sketch the

A: Given,       9x2+25y2-16z2=0

Q: Sketch the graph of f with emphasis on concavity. Label asymptotes with their equations and…

A: To sketch the graph of the function with the given detail.   −∞,−1 -1 −1,1 1 1,2 2 2,3 3 3,∞ f'…

Q: Find the exact length of the curve. y = √x - x² + sin 1-² (√x) Read It Need Help? Need Help?

A: Solution:

Q: Solve the D.E ý- 25 +2y 22 X73 24

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Q: If A = [1 31 [] 0 A. 3300 OB. -900 OC. 900 OD. 1 OE. -1 find the (1,2)-entry of A300

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Q: Given: e|3x-6| if x 3 1. Determine if f is continuous or discontinuous at x = 2 and x = 3. If…

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Q: VIII. Suppose that f(x) is continuous everywhere and the graph of f'(x) is shown below. Do not…

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Q: Find two unit vectors orthogonal to a = (-2,-1, 3) and b = (5,-2, 1) Enter your answer so that the…

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Q: The following table lists several corporate bonds issued during the second quarter of 2015. Company…

A: To determine the interest amount every 6 month and over the life of the bond.

Q: Integrate the following functions Ver R: f(x,y) = 3x-2y. the given regi the circle x² + y² registre

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Q: subject to

A: Given,           p=3x+2y+zsubject to           2x+y+z≤150      2x+2y+8z≤200          2x+3y+z≤320and…

Q: Three years ago, Pete took out a loan of $55,000.  The loan was taken out for 10 years with an…

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Q: Consider the function f that satisfies the following: . f is continuous everywhere except at x = -2,…

A: Given is information about the function f(x).   To Sketch the graph of f(x), label all intercept…

Q: Problem 1 Suppose that y1, y2 are solutions to a homogeneous second-order linear differential…

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: A hole of radius 1 inch is drilled through the center of a spherical wooden ball of radius 3 inches.…

A: To find the volume of portion removed by drill.

Q: Write f(z) = Im(z 32) + zRe(z²) - 5z in the form f(z) = u(x, y) + iv(x, y).

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Q: 13. What is the class interval of the data below? Class Frequency 28-30 8 31-33 8 34-36 7 37-39 5…

A: Question no 13 Class  frequency  28 - 30 8 31 - 33 8 34 - 36 7 37 - 39 5 40 - 42 1…

Q: Suppose that Yt follows the stationary AR (1) model LaTeX:…

A: Given that Yt=2.5+0.7Yt-1+εt                         1  with Eεt=0 and Varεt=9 The standard ARt…

Q: 3.27.2. Let X be a metric space with metric d; let ACX be nonempty. (a) Show that d(x, A) = 0 iff x…

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Q: give a counterexample: 1. The integer -a is a primitive root (mod m). 2. The integer a + b is not…

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Q: The demand and supply functions for a commodity are given below P: = e0.1q = 100 - D(q) = p = S(q) =…

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Q: Approximate the following integrals using the following methods. ·[²L²(4-x² - y²)dydx a. Composite…

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Q: What is your 95% credible interval for the number of people who will be alive in the year 3000 CE…

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Q: Unemployment Rate The unemployment rate of a certain country shortly after the Great Recession was…

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Q: (h) Suppose that G is an unconnected graph that consists of 4 connected components. The first…

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Q: Use Stokes's Theorem to evaluate F(x, y, z) = z²i+yj + zk S: z = √4x² - y2 F. dr. In this case, C is…

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Q: Suppose A is a 1 x 7 matrix and is a 7 x 1 matrix. Select all that apply A+Bexists and is al x 7…

A: Given that A is a 1×7 matrix and B is a 7×1 matrix. Here, we will check which of the given options…

Q: Let S1 be the surface generated by z - 4 = -y revolved about the z-axis. Let S2: x² + y2 = 4.…

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Q: Compute the specified quantity. At auction, 6-month T-bills were sold at a discount of 7.425%. What…

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Q: 5. Consider this following tree rooted at a. 1) In which order are the vertices of this tree visited…

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Q: Find the matrix A if 2e2t et e²t - et e2tet 2e2t - et 3e2t3et 3e2t-3et et-e2t et - e2t 3et - 2e²t

A: To determine the matrix A , firstly I have taken the derivative on both sides then putting t equal…

Q: -؟ 3) Sketch the region and evalute the integral ) 4-2 355 4-2 derdu cateplome( ي لباد فية التكامل…

A: sketh the double integral region in uv-plane