Reduce to the form x + yi: logsinh(−i+2) 2 40eni

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Q: 9- Give five examples about application of polar coordinates in real life

A: Polar coordinates have various applications namely in  Animation  Computer graphics Civil…

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A: Solution

Q: Solve the first order differential equation. (2y sin x cos x - y + 2y^2 e^xy2)dx = (x - sin^2(x) -…

A: Solution :-

Q: [1 Encode the word KNIVES using the encoding matrix: L3 4 O a [53 78 75 106 L62 86 [53 78 75 105 161…

A: Given word is KNIVES.Encoding matrix A=1234The word KNIVES is encoded as shown below.

Q: Find the convergence set of the given power series: (x - 2)n n² n=1 The above series converges for…

A: We use the standard formulas for radius of convergence. The typeset answer is presented below.

Q: N 2 •Solve the differential Equation y"+y = catny by using variation of parameter method

A: The solution is given as

Q: S 1 1 0 A D 1 0 0 1 L P 0 N E

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Q: What is the equation of the slant asymptote of the rational function? f(x) = 10x³-15x²+x-1 5x²-2 11…

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Q: 1_Focus_Set_5_3.pdf 1 / 1 ANA 100% A hot air balloon takes off from the edge of a plateau. The…

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Q: 1. Consider the differential equation: dy y² + xy x² dx a. Write the differential equation in…

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Q: . Let u₁ = (1, -2, -1), U₂ = (2, 2,-2), and v = = (0, 0, 1). v is not in the subspace W spanned by…

A: In this question, a vector that is orthogonal to a given vector is to be determined. A non-zero…

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A: In this question, the concept of the polynomial is applied. Polynomial The term "polynomial" refers…

Q: Use Fermat's Theorem to verify 17 divides 11¹04 + 1.

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Q: Given the set P of all points in a plane, let M denote the set of all permutations of P that…

A: Given : set P of all points in a plane, let M denote the set of all permutations of P that preserves…

Q: d) Z=Sn (PUS) n(QUS) n P n Q n S

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Q: Determine the value of z in the below equation, giving the answer in the form x + yi. z - 8 = i (7 +…

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Q: Use Newton-Raphson (Newton's) method to find the solution to the following within 10° x³2x²5= 0,…

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Q: (b) Consider f(x) = 2x³ + 3x² + 4 in Zs [], and the evaluation homomorphism 2 [2]: Zs [2] → Zg. (i)…

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Q: Question 1 Let f(x) = x + √x. Find f'(1) at x = 1. A) 0 B) 1+ 2√ C) y = + ³/ D) 1/ E) /

A: Given f(x)=x+x   To Find: f'(1)

Q: a) 13 C, C₂

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Q: Find a power series solution of the differential equation y' = 4y

A: In this question, the power series solution of a differential equation is to be determined.…

Q: 2. Consider the following table of a periodic function h(t). t 0 1 2 3 4 5 h 4.0 5.25 6.165 6.5…

A: We can see that at t = 0, h = 4.0, so the curve starts from the height of 4.0 units or h(0) = 4.0,…

Q: * Some amount out of P7000.00 was lent at 6% per annum and the remaining at 4% per annum. If the…

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Q: Solve the differential Equation &Y"+y=nsion by using variation of parameter.

A: Given differential equation is ,                                  y" + y =  x sin(x)  Method of…

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Q: solve (x²³. D³-3x²0² + 6×D=6y=0

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Q: Use the root test to determine whether the series 7n n6.5n+1 converges or diverges. n=1

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Q: et f(x) = 2x6. Compute = coño + C₁7₁ for the domain

A: Given,          f(x)=2x6 To find:        φ^=c0π0+c1π1 for the domain 0≤x≤1 And  π0=x,   π1=x2

Q: Knowing that G = S6, define the set Gr= {a EG: a(t) = t for all t = T} If the set T = {1, 2} C S,…

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Q: Use the Midpoint Rule to evaluate the integral fx-¹dx. Sx 1 O O O T N|W T 11133 113 21/3

A: Given integral is ∫12x−1dx. We have to evaluate the given integral by using midpoint rule. Here,…

Q: Question 7 Find f(x), when f'(x) = xe and f(0) = 1. A) ²e²² +1 B) re +1 C) 1 D) ez² +2x²e²² E) /e² +…

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Q: A Ferris wheel has a radius of 40 feet and is boarded in the 6 o'clock position from a platform that…

A: 2. Given that,A Ferris wheel has a radius of 40 feet and is boarded in the 6 o'clockposition from a…

Q: [Multiple Choice C] The question(s) that follow refer to the problem of finding the minimum spanning…

A: Given: The weighted graph shown below: 5. To determine: The total weight of the minimum spanning…

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Q: (1-9²) dx + (1+x¹) dy = 0 2x² dy dx csc (X) ý xe VX-2 =

A: The given differential equations are solved as shown below.

Q: 4. Represent a.) b.) c.) d.) e.) the Venn diagrams that indicate the following: Examination,…

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Q: In the given figure, using Kruskal’s algorithm, which edge should we choose third? a. EF b. AG c.…

A: In Kruskal's algorithm, at a step,the edge with minimum weight is chosen if it does not form cycle…

Q: Let 8 = {(1, 1, 0), (0, 1, 1), (1, 0, 1)} and 8' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)) be bases for…

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Q: H-w.4 Find the volumes for the following solids whose heights are defined by E (x,y) and bases are…

A: Volume bounded by xy-plane plane.

Q: Prove rigorously (i.e., quote at least one proposition/theorem/corollary in your solution) that 64…

A: Evaluation of the integral, by using the definite of the definite Integral

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Q: 10 inches 6 inches 18 inches Using the dimensions from the previous item, find the rate of change in…

A: Given total surface area formula of rectangular solid SA=2lw+2lh+2wh   ......(1) where l,w,h are the…

Q: Let u be the solution to the initial boundary value problem for the Heat Equation, d,u(t, x) = 5…

A: Given that ut=5uxx,               0&lt;x&lt;5,   t&gt;0u0,t=0,       u5,t=0,     ux,o=fx=0,…