y = c sinx

Q: If w and a are the nonreal cube roots of unity and [1/(a + c)] + [1/(b + c)] + [1/(c + a)] = 2a² and…

A: We will use value and relation of ω ω3=1 1+ω+ω2=1

Q: a) 0.00121 2⁹75101

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Q: {1, 2, 3, 4, ...} is equivalent to {10, 20, 30, 40,.

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

Q: An integer point is a point on the xy-plane with both coordinates integer. Given a convex pentagon…

A: Hint:  using the concept of convex

Q: The following arguments are valid. Give a formal deduction for each. a. Premises: A → (BC), (C →…

A: What is Natural Deduction: Natural deduction is a type of proof calculus used in logic and proof…

Q: 2. Use the tables to find the inverse z transforms of the following a. Z z+4

A: Introduction: Finding the time domain signal x(n) from its Z-transform X is known as the inverse…

Q: 8 times a number is added to twice the number, the result is 70

A:

Q: Prove that connecting two nodes u and v in a graph G by a new edge creates a new cycle if and only…

A: Given, Connecting two nodes u and v in a graph G by a new edge creates a new cycle such that if and…

Q: 6. Prove that 2n +5 and 3n+7 are relatively prime for every integer n.

A: What is Relatively Prime Numbers: Relatively prime or coprime numbers are two such numbers which…

Q: (PARAQ) ((PV RAQ) (PARVQ))

A: Given: The expression is (P∧R∧Q)⊕(~(P∨R∧Q)⊕(P∧R∨Q)). To find: The truth table for the given…

Q: The given graph is strongly connected. b True or False True False

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Q: 3. If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is…

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Q: 1. Show that y(x) = c; sin 2x + c₂ cos 2x is a solution to y + 4y = 0.

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Q: Exercise 5. 1) Show that the metrics dp, p ≥ 1 and dmax on Rª are all Lipschitz equivalent. 2) If X…

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Q: ne Z and AABC be a right triangle with righ If sin A and sin B are the roots of the quadrati +8)x² -…

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Q: ات ( )Porve erf

A: We know that erf(x)=2π∫0xe-t2dt Therefore erf(∞)=2π∫0∞e-t2dt Now evaluate erf(∞)=2π∫0∞e-t2dt

Q: Write the equation of the line passing through the point (4,-9) with slope 34

A: Given that Point (x, y)=(4, -9) and  slope m=-34 Equation of line with point and slope is y=mx+c

Q: Compute the partial fraction expansion of the function Y(s) that is, calculate the constants A and B…

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Q: If w and a are the nonreal cube roots of unity and [1/(a + c)] + [1/(b + w)] + [1/(c + w)] = 2a² and…

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Q: Let a, b, and c be real numbers such that a + the maximum value of (ab + bc + ca).

A:

Q: Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x² +…

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Q: Find the interpolating polynomial y = ax² + bx+c that passes through all three of the following data…

A: Given: The points are 1,13, 2,15 and 3,19. To find: The interpolating polynomial y=ax2+bx+c. All the…

Q: You want to send postcards to 12 friends. In the shop there are only 3 kinds of postcards. In how…

A: (a) Here we have given that you want to send postcards to 12 friends and in the shop there are only…

Q: 12. Convert the expression to matrix notation: E = B¡j aj bi

A:

Q: Part One: An output signal of a pressure sensor was measured in a mechanical structure as follows:…

A: Here we use the standard sinusoidal sine  function and the definition of period of that function as…

Q: /1 5 0 2 0 2 10 1 4 0 9. You are given that the reduced row echelon form of the matrix A = 3 15 6 30…

A:

Q: The family of parabolas with vertex and focus on the y- axis. A B C D y' - xy "=0 xy'-y "=0 xy" -…

A: The general equation of the parabola with the vertex and focus on the y axis can be defined as:…

Q: 5 (a) Compute the roots of the quadratic polynomial s² + 2s + 5. (b) Is the polynomial s2 + 2s +5 an…

A: Using square root method we will solve this problem

Q: In Exercises 12-22 construct a direction field and plot some integral curves in the indicated…

A: The given differential equation is  y'=y(y-1) To Find: Construct the direction field and also plot…

Q: II. Verify if the indicated equation is an explicit or implicit solution of the given DE. ( y = ln…

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Q: Find a quadratic equation whose product of roots x, and x₂ is X₂ equal to 4 and satisfying the…

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Q: The decay rate of a drug describes how long it takes the drugs effects to wear off. The decay rate…

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Q: Example 1: Determine the maximum or minimum of the equation y=-4x² +24x - 35

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Q: 6) The image of the infinite strip <y< ½, under the bilinear transformation 1 w = u + iv = is given…

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Q: 5. lim(√n²+ n − n). -

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Q: The commutator is: Find the commutators if: (a) A = D² and  = x²* (b) A = D and B = x * D [A, B] =…

A: note : As per the standard notations of operator theory, we will treat the operator "D" as a…

Q: 4. given that 2px (a) 5px, (b) 2Px+3, (c) 29x, (d) 2/39x (e) 3/29x, 0.955, Px+2 = 0.96, and 39x+2 =…

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Q: =y-z=9 #y-72=10 lect the correct choice below and, if necessary, fill in the answer boxes to…

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Q: Equation: y" - 2y' + y = 0 y= xe* a. b. y = ex On the interval (-∞0,00)

A: We have the differential equation  y'' - 2y' + y =0 We have to check if the given equations are…

Q: ایت (porve ere(o if : er f. = er f = 1/2 Set.dt

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Q: Let D(z) be "z is a day", S(r) be "r is sunny", R(1) be "z is rainy", M be "Monday", and Th…

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Q: Salmonella bacteria, found on almost all chicken and eggs, grow rapidly in a nice warm place. If…

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Q: .) Compute the flux of the vector field F = 4x + 4yj through the surface S, which is the part of the…

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Q: / Using Doolittles method for the following matrix A = L - matrix and U - matrix. TOY 2 0 86, find…

A: Given : A=-121086-205 To find : L-matrix and U-matrix

Q: Problem H10 Using the same system, translate these base ten numbers into base sixteen numbers: a. 97…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Find the base five representation for these base ten fractions: a. 9/25 b. 23/125

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Q: Letf(x), g(x) and h(x) be quadratic polynomials having positive leading coefficients and real and…

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Q: f (x, y) x+ 3 ху 3 Бъ-х

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Q: b←((b←d)vd) p h. A➜(~A↔(A⇒B);

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Q: Show F(x, y) = (4xy³ + 6)i + (6x²y² + 2e²¹)j LF is conservative by finding a potential function f…

A: