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Q: Determine whether the series is convergent or divergent. (cos(26))k k = 1 Step 1 Since cos(26) is a…

A: To determine whether the series is convergent or divergent.

Q: M-commerce retail sales in the UK forecast 70 61.55 60 55.49 49.27 50 42.78 40 £bn sales 30 36,18…

A: Percentage change can be calculated by dividing the relative change by the initial value, and then…

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Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: 12 -36 -26] eigenvectors corresponding to these eigenvalues. 16 a. The matrix has eigenvalues A1 =…

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Q: (b) Find the basis for the col(A) and null(A) 4 5 2 1 30 1 3 2 2 1 A ||

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Q: Consider the two series: 2n + 3 (a) 2 n2 In n n=1 8. 1+ (n – 2)! (b) n! n=1

A: Given series are: ∑n=1∞ 2n+3n2lnn∑n=1∞ 1+n−2!n!

Q: Find the arc length of the graph of the function over the indicated interval. X = 3 Vyv - 3), 1<y s…

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Q: の 2"-2-2= 5 Sin(2t). 2 = 5 . 5 Sin (2t)

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Q: QUESTION 2 F. as. where F(x,y.2)-( Y , and s is the surface of the unit sphere, oriented outward. 4n…

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Q: f (1, 2) = 3 and the function f (1, 2) in the direction of i + j is given as 0.7. Using this…

A: Given that f1,2=3 and the derivative of function f1,2 in the direction of i+j is given as 0.7. We…

Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 + 9 + 1 /3 +... 4 p…

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Q: A company purchased factory equipment on June 1, 2021, for $155000. It is estimated that the…

A: To determine the depreciation of the equipment on December 31, 2021.

Q: Let -2 -2 31 A = |-4 -3 5 0 0 Find a basis for the image of A (or, equivalently, for the linear…

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Q: Approximate the area under the curve f(x) on the closed interval [1, 3] with 5 circumscribed regular…

A: Area of the graph using trepizodal rule for n=5

Q: Solve the following differential equation y"+2y' +y=x-1 Select one: O a. YG.S= Ce+c2e° -2x +x-3 O b.…

A: Solution :-

Q: What is the dimension of matric AB? A= (2x2) B= (2x4)

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Q: *Find a power series for the function, centered at c = 5, for the function f(x)=: 4 . State 2x +3…

A: Given fx=42x+3 and c=5

Q: .2 ペ+15X+ 32X"+23x*+25K-3 Ax (+メ+2) (x2+1)。 2.

A: ∫x6+7x5+15x4+32x3+23x2+25x-3x2+x+22x2+12dx

Q: We know that SLa f(x)dx = 10 and Sf(x)dx = 20. Determine the value of the following integral e) L 5f…

A: To find The value of the given integral by using the above definte integ

Q: k(k-1)x² k(k–1)(k – 2)x' k(k–1)(k- 2)(k – 3)x* +... (1+x)* =1+ kx + 2! 3! 4! 1 Use this to determine…

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Q: The temperature in degrees centigrade (°C) at each point (x, y) on a curve 2x + y = 3 is given by…

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Q: A firm estimates that it will sell N units of a product after spending x dollars on advertising,…

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Q: Solve the given ODE using Laplace Transform

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Q: QUESTION 1 Consider the following LP model and its optimal solution: Maximize: z= 2X1 +3X2 + 4X3…

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Q: For the following exercises, determine a definite integral that represents the area. 198.Region…

A: We have to find the area of the region common to r=3 sinθ and r=2-sinθ

Q: 00 1 = 1- x +x² - .+(-1)"x" + ... = (-1)* 1+ x (-1)"x". %3D n=0 1 f(x) = 1+ x2

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Q: Consider a sequence (x, n E N) with x 2 0 for all n EN. Prove that if lim (-1)"xn exists, then lim…

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Q: Speedometer readings for a vehicle (in motion) at 15-second intervals are given in the table. t…

A: Lef and right end point approximation

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 1 Σ 3n2 + 6…

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Q: Find the solution to x' y – x +t y' if æ (0) = 2 and y(0) = 6. x(t) = help (formulas) y(t) = help…

A: Solution :-

Q: For the following system: i2 = -12 Use the Lyapunov function V(x) = rỉ +r1r2 + to show that the…

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Q: 7. 3cos (@t – a), where o and a are constants 8. Show that L(cos 23t – sin 2 3t) = s²+36

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Q: the truth value of e and f is unknown, determine the truth value of the folloWnĘ propositions (if…

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Q: dx = adt + bdz x = Xo + at

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Q: For two concentric spheres with radii r = a and r, = b, with a<b, the temperature T(r) of the region…

A: To solve: the boundary value problem: 3T''(r)+2T'(r)=0T(2)=10T(4)=30 where T(r) represents the…

Q: 7. Prove that R² is Hausdorff. Is R?T3? Is R?T4?

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Q: 4 of 22 During a three-way tug-of-war competition, each of the three ropes is tied to a center knot.…

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Q: Use Gauss-Jordan Elimination to find the inverse of -1 4 2 3 2 4 2 0 2

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Q: find the Lineartransfromation Ti Manz (R) whose matrix Mp 1- -1-

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Q: Express all answers in Rectangular Form. 1. (1 + j3)z² + (5 + j6)z + 7 – j6 = 0 2. 3z? – (5 – j4) z…

A: Since you post more than three subparts questions as per our guideline we can solve only first three…

Q: 4. Arki Ramos recorded the following times assembling a watch. Determine (a) the average time, (b)…

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Q: Find the 9th term of the harmonic progression 3,2,3/2

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Q: 4- the solution for the following O.D.E (2xy- sin(x))dx = x²dy- cos(y) dy

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Q: Use the Comparison Test to determine if the series converges or diverges. Σ 4n + 5 n=1 diverges…

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Q: High-power experimental engines are being developed by the Stevens Motor Company for use in its new…

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Q: Find the monthly house payments necessary to amortize a 9.6% loan of $266,200 over 15 years. The…

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Q: in the proposition in Section 10.4.) Suppose we have a 2 x 2 zero-sum game:

A: Given 2*2 zero-sum game is   C N C a b N c d   a = largest entry d = not the second…

Q: 1 ) *It can be shown that the improper integral e sin xdx =. Can we conclude that 2 Le" sin n…

A: Integral test

Q: If MK = 10m find the area of sector MKL. K 52° L. J 中

A: Here is  a mistake in question. Note: MKL is the segment not sector. so here in question there is…