What is the z-transform of the ?signal x(n)=(0.5)nu(n)

Q: Find the derivative: y = 6 In x 6 ln x-1 x7 1-6 ln x 12 1+6 ln x x12 4 O 1-6 ln x x7 O

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Q: 30.3. Find and classify the isolated singularities of the following func- tions: +1 Z sin 3z (a).…

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Q: X 2 1 a X 2 dx

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Q: Which of the following is an example of a series such that Σa converges but Σ|a|diverges? Α.Σ." 3 n…

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Q: Integration of { 8t^7dt

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Q: Find the point(s) on the surface y2-xz = 4 that are closest to the origin and find the minimum…

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Q: Solve the following equations 2)3x+2 = 27 1) 2Ln(√x + 3) + 2Ln(√x − 1) = Ln(6x - 7)

A: The solutions are given below:

Q: ?What is order of the equation (y"+2y+3=0) Second order O First order O Zero order O Third order O

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Q: If [ f(x) dx = 12. g(x) dx = -2 and L₁ dr following gives the value of [[1²)+ 4 76 Sh +4g(x)- h(x)…

A: Given:     ∫-36fxdx=12     ∫-36gxdx=-2     ∫-36hxdx=-7

Q: Given the function g(x) = 6x³ + 27x² 72x, find the first derivative, g'(x). g'(x) = 0 when x = -4,…

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Q: Which of the following functions is entire? For each, justify. f(z) = (x² - y²) - 2xyi

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Q: Find f'(x) where f(x) = esina Of(a)=esing cos O f'(x) = sinx. ecosx ○ f'(x) = ecos sinx . O f (2) =…

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Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √√x + 4 and x - 2y +…

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Q: Q1) L-1 a) cosht -1 b) 1 - cosht c) (cosh2t - 1) d)/(1-cosh2t) Q2) The general solution of y"" + 2y"…

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Q: Find the arc length of y = 26² + O 7/12 pi O 17/12 O 7/2 pi O Not in the choices O 17/2 2+2 for for…

A: To find the arc length of y=x36+12x for 1≤x≤2.

Q: differentiate the funtion y = cosh x - sinh x / cosh x + sinh x

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Q: Which of these series, if either, diverges? ∞ - 1)k 1. II. Σ(-1)^ (77) K²+1 k=1 k k=1 A. I only B.…

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Q: x5 + x² + 4x³ + 4x² + 4x + 4 dx (x² + 2)³

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Q: Define R as the region that is bounded by the graph of the function f(x) = 2e, the x-axis, x = -1,…

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Q: Part C- How much would that cost be? Include the dollar sign and no spaces.

A: prices for bowling alleys of bowler world are:-           price to rent shoes   =$5.00…

Q: 3.) The natural length of a spring is 8 inches. A force of 20 lb stretches the spring to 10 in. Find…

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Q: A piece of cardboard measuring 14 inches by 9 inches is formed into an open-top box by cutting…

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Q: Find the maximum and minimum value of the function and the inflection point of the given curve…

A: Given :

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

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Q: Q1) L-1 s(s a) cosht -1 b) 1-cosht c) (cosh2t - 1) d) (1 - cosh2t)

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Q: If the first-quadrant area bounded by the parabola y = 4 - x² will revolve about the x-axis, the…

A: Given curve, y=4-x2 Portion of given graph rotate around X axis in first quadrant, Therefore Put x=0…

Q: Evaluate: S O (1+2√√)¹ 2 O (1+2√)¹ +C 8 O 2(1+2√x) + C O (1+2√)¹ - + C 4 (1+2√x)³ - dx +C

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Q: 19. Find x from the following equations: 27x = 9y 81*3-* = 243 A. 2.5 B. 2 C. 1 D. 1.5

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A rectangle is enclosed by the coordinate axes and the line 2y + x - 5 = 0 Determine the length and…

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Q: 1. Find the following antiderivatives. (a) [² cosh x + 1 sinhx dx

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Q: Show that the interval [a,b] is complete

A: Given

Q: On your own, verify that the indicated expression is an implicit solution of the given first-order…

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Q: k 1. Find the value of in a. 0.298597 C. 0.498597 2. Find the value of a. 0.138629 c. 0.158629 k in…

A: Solution

Q: /Use the mid-ordinate rule with eight intervals, to evaluate √²3sin² (x), correct to 3 decimal…

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Q: integrate using partial decomposition (y^2)/(y+1)^2(y-1)

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Q: Solve the following Differential Equations with Laplace Transforms y" - by' + 15y = 2 sin (3t), y…

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Q: √4x²(x³-5) dx = x³ (x¹2 - 25x² + 250x6 - 1250x³ +6250) + c O 16(x³ - 5)4 + c O(³-5)5+c O (2³-5) 5+ c

A: See the details solution in below

Q: Write the first five terms of the sequence: {√n² + 2n = n}=1 Determine whether the sequence…

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Q: (Use symbolic notation and fractions where needed.) side of base: 6 height: 6 minimal surface area:…

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Q: X5 x3 +4 +4 dx

A: WE can find the integration as below.

Q: 10- There is a rectangular playing field in Alaska Denali Park for a grizzly Bear with an area of…

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Q: 3 i(z³+1³) lim z→-i_z²+1

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Q: 4 f(x) = 3x6 3 f(x) = $/x2

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Q: Q22) The inverse Laplace transform of H(s) : = a) f(t) ==e¹+¹e²t 8 8 -3 c) f(t) == est +²e-2t 8 8 1…

A: To find the inverse laplace transform of givem function.

Q: Given: y = = 4 cot (3 - 2x) Find: dy dx 0-8 csc² (32x) O csc² (3-2x) 08 csc² (3-2x) -4 csc² (3-2x)

A: Given y=4cot(3-2x)To find dydx:

Q: en the following total revenue (TR) and total cost (TC) functions for a firm, TR = 5820Q +4Q² − 2Q³…

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Q: ∫0.00202003x^4/4-0.0185672x^3/3-0.0937054x^2/2+2.17676x+C

A: We have to solve it. But it's not clearly mentioned that, either We have to find integration or…

Q: 1. f(x) = x² − 16x, [3, 10] 2. f(x) = 15 – 2x − 2x², [1, 2] 3. f(x) = 2x³ + 3x² − 12x + 24, [−4, 0]

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Q: 2.) Find the acute angle between the given curves y² = 2x and 4x²+ 4y² +5y=0

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Q: The function f(x) 2x³ + 42x² = one local minimum and one local maximum. This function has a local…

A: You must have an idea how to use derivatives to find the local maximum and minimum using critical…