State where the power series is centered. Σπ.χ. - Ο

Q: The annual cost of attending a particular college increases by 6% each year. When the college first…

A: Given that annual cost of attending a particular college increases by 6% each year. Initial coat of…

Q: eeded to be solve correctly in

A: Given, the helix                r(t)=cosπt2, sinπt2, t intersects the sphere x2+y2+z2=2 in two…

Q: Write 20 terms of the Fibonacci sequence.

A: Fibonacci sequence and first twenty terms

Q: Give at least three (3) examples, with complete and detailed solution, onsolving Differential…

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Q: If A = A. 3300 B.-900 OC. 900 3 find the (1,2)-entry of A300

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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: Find the curvature and the radius of curvature at the point t = 0. x = et cos(t), y = e* sin(t), z =…

A: Curvature and radius of converges

Q: Given points P(4,2,-1), Q(2,-4,-1), T(4,3,4) forms the triangle. Find the unit vector that bisects…

A: We will first find the unit vectors along line QP & QT. So that the resultant vector which is…

Q: f(x,y) = 3x-2y. R: the circle x² + y²

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Q: The pressure on a particle at a point (x,y) is given by P(x, y) = x²ln(xy²) a. Find the rate of…

A: As per the question we are given a pressure distribution of a particle moving on xy-plane as :…

Q: a. [=³² (n =)²] 15. lim z→0+

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Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given, box is rectangular. Let the shorter side be b (variable for square end) Then according to…

Q: 3. fe2x+Inx² sin x² dx = = 2x -+√e²x cos x² dx

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Q: A triangle has circumcenter with sides 170.4 m, 198.8 m, and 227.2 m. Determine the distance from…

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Q: V. Find the slope of the normal line to the graph of g(x) = where x = 0. log₂ (1-x) sin ¹(x) + e² at…

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Q: (sinxy +xy cos xy) dx + x² cosx y d y = о

A: The solution is given as

Q: Q2): A polluted lake has an initial concentration of a bacteria of (1*10' part/m³), while the…

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Q: Find the unit tangent vector of the given curve. r(t) = (7t cos t-7 sin t)j + (7t sin t + 7 cos t) k…

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Q: MY NOTES ASK YOUR TEA Compute the simple interest INT for the specified length of time and the…

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Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given that The courier  will deliver  if the length plus girth does not exceed 108 inches.…

Q: y = √√²+csc²(πx) 2 COS os(3 cos-¹(x)) - a X

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Q: (2x + 3) csc²() dx + f 4 tan () dx = 2(2x + 3) cot (#) f(2x + 3) sec² () dx - 4 tan ) dx = 2(2x + 3)…

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Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…

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Q: V. Given: 2. Find f'(2), if it exists. el3r-61-2, f(x)=[2x - 5], √x²-9, if x ≤ 2 if 2 3

A: Given that  fx=e3x-6-2,if x≤22x-5,if 2<x≤3x2-9if x>3

Q: Suppose that you are an engineer designing an arch bridge spanning the entrance to a marina. Small…

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Q: xy'=y+ IX2-y2 ху

A: We have to find the general solution of the given differential equation xy'=y+x2-y2 .

Q: sec42x -dx tan 2x 1 1 12 tan 62x Find 1 1 A 16 tan 82x ⓇB (cor -=— 1+3csc²2x 12 cot82x) (4sec 22x-1)…

A: Evaluation of the indefinite integral by using substitution method

Q: cos

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Q: lim x-0 sin² (2x) + tan (2x²) x²

A: We want to calculate the limit limx→0sin2(2x) + tan(2x2)x2

Q: What is the missing number? * 15 17 8 9 8 12 27 40 6 3 28 2 12 23 13 ? 28

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Q: 21) which of the following sequences is converge or diverge: {²√n} 8.6 } "

A: Given sequences are n2n , 1n! , 110n

Q: 14 4. Consider the vector field F and the curve c below. 5 5 F(x, y) = x²y³ ₁ + x³y² Ĵ. C:r(t)…

A: The given problem is to evaluate the given path integral of the vector field over given curve.

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

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Q: Write the following English sentences in symbolic form- 1. Birds fly if and only if sky is clear.…

A: We have to write the given sentences in symbolic form.

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: PROBLEM: Derive the z-transform for f(t) = sin oot u(t). z¹sin(@T) ANSWER: F(z) : = 1-2 z ¹ cos(@T)…

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Q: Use the intermediate Value Theorem to show that between x = 0 and x = 1, the function f(x) = 3 sinh…

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Q: dy y²-x² with = Example 10.16. Using Runge-Kutta method of fourth order, solve y(0) = 1 at x = 0.2,…

A: We can solve this using Runge kutta fourth order method

Q: a x In the experiment of tussing a fair coin is the randam variable giving 3 times the number of…

A: Given three fair coins are tossed. So PX = 0 = 18P(X = 1) = 38P(X = 2) = 38P(X = 3) = 18

Q: 9. Use the Residues Theorem to calculate 1+ sin² ª -de. Sketch the contour you used.

A: We have to find integral using Residue Theorem.

Q: If A = [1 31 (67] 0 A. 3300 OB. -900 OC. 900 OD. 1 O E. -1 find the (1,2)-entry of A300

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e-x, n = 5 P5(x) =

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Q: We have determined the following. Sct. (t - 1)e-st dt = (t-1)e-st e-st + C S 5² This allows us to…

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Q: 5. Consider that in 1915 that the population in the United States was 100 million. Suppose the…

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Q: 2. The subset [a,b) of R is neither open nor closed. Prove it and construc an illustration.

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Q: fe²x+Inx² sin x² dx = +√e²x cos x² dx

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Q: Find the value of F(s) given that; sin 3t, o<t<tπ f(t) = { sin 3t, t<πT Let L[sinzt u(t)-sin3(t…

A: Use the definition to find the Laplace transform of the function sin3t ut-sin3t-πut-π.

Q: [MO23] For the function y = cos x + sin x, determine its a. MacLaurin Series expansion up to fifth…

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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: log (x+3) 2+1-1-cosh (cos-¹x) lim

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