Solve x3 - 3x² +12 x +16 =0 Solve by cardan' s method

Q: Find the area of this trapezoid. Be sure to include the correct unit in your answer. 16 yd 8 yd 5 yd…

A: We know, Area of the trapezoid= (1/2)* ( sum of the length of parallel sides)*height unit2

Q: r 0 For r E R* let rI Show that H ={rI :r € R*} %3D is a normal subgroup of GL (2, R).

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Q: Solve the Laplace Transform F(s) of the given f(t). f(t) = - cos(3t) sinh(4t) – 4

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Q: positions using Rules of Logical Equivalences. Do not forget to indic (pA q) (p → q)

A: INTRODUCTION: The formula of logical equivalence is given by, p→q⇔~p∨q~(p∧q)⇔~p∨~qp∨p⇔p

Q: 5. (a) A list a1, a2, a3, a4 of rational numbers is defined so that if one term is equal 41 then 29…

A: Given, an=1+11+ra3=4129a4=9970    To find: Value of a1

Q: 2. I3D X-に-A

A: To find: Area of the shaded region in adjoining figure.

Q: Please recheck and provide clear and complete step-by-step solution in scanned handwriting or…

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Q: Find the solution. dy - +y= dx 1+e* A ye = c+2ye In (1+e*) y = ce - e¯*In (1-e*) y = ce¯+e¯*In…

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Q: Find the volume of the solid whose base is the region in the xy-plane bounded by the parabola y = x²…

A: Given that y=x^2, y=3x and z=x+4 We have to find volume

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. If it is…

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Q: 1 X(z) = (1– 2-')(1– z-3)

A: To Solve using partial fraction: X(z)=1(1-z-1)(1-z-2)

Q: Formulate equations for these problems to find the solution using Gauss-Jordan Elimination of the…

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Q: 3) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1 – j2), j 2- j3 1 +…

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Q: 1) How many sitting orders are possible? 2) How many sitting orders are possible under the condition…

A: Here we use combination rules.

Q: are independent co-ordinates of a point, show that = &

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Q: Find the area of the region bounded on the left by x = y? and on the right by x = 3 – y?. O a. 7 sq…

A: Given: Equation of curves  x=y2x=3-y2

Q: nd all zeros of the polynomial function. Use the Rational Zero​ Theorem, Descartes's Rule of​ Signs,…

A: To find the zeros of the below polynomial fx=x4−16x3+50x2+152x+85

Q: G12. Construct the graph for the adjacency matrix: In29)= MatrixForm [matrixExample]…

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Q: 1. Let X be G-measurable and let Y be independent of G. Let f(x, y) be a bounded continuous function…

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Q: For which of the following space the unit ball is weakly compact a) ℓ2; b) ℓ1; c) C[0, 1]; d) ℓ∞; e)…

A: We are given four spaces. We asked to check in which space a unit ball is weekly compact.Weekly…

Q: Use the third Taylor polynomial P3 (T_

A: Given,           f(x)=xln2x about x0=1

Q: 10.(Straightforward) Find the general solution of these constant coeffi- cient linear inhomogeneous…

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Q: ×- -X+ し SY STEM = ニ メ=ーと 2) a tbt ーt ニ t d山

A: This is a problem of linear transformation.

Q: Find the minimal distance from the point -18 10 P = 3 to the plane V of R' spanned by 4 -4 4 -4 and…

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Q: 2. Let f and g be any permutations. Show that the order of h = fgf- is the same as the order of g.

A: Here f and g are tow permutations  and we are given that h=fgf-1. We have to show that both f and g…

Q: Tathy er e Determine whether the integral zdt converges. If the integral con- verges, give its…

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Q: Find the Inverse Laplace Transform. F (s) = 4(s+a)¯ – 2(s + 3)¯ -1 O 2e t-e-3t O 2e-at e-3t - O 2…

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Q: Use the laplace transform to solve 3x'-y=2r;x'+y'-y=0; x(0)=y(0)=0

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Q: e absolute minimum of f (x, y) = x² + y° – 2 = {(x,y) | y > 0, ² + y? < 4}

A: In this question, the concept of critical point is applied. Critical Point The critical points of a…

Q: Compute log r dr 1+x²

A: Solution is given below;

Q: Consider the three sets: {D} (a) For each set above, determine if it is an orthogonal set and if it…

A: (a) To check: whether the given set of vectors are orthogonal and forms a basis for ℝ3 or not. (b)…

Q: e integrand of the definite integral is a difference of two functions. Sketch the graph of each…

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Q: 3. Compute log r 1+x²

A: Given, Integral = ∫0∞log x1+x2dx To find - Value of given integral.

Q: Find the interval of convergence of Σ 6" (2n + 1)!

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Q: Find the solution. (D³ + 6D² + 11D + 6)y = 0 - 3x B y = c,xe"+c,e – 3x -3x Dy=c,e-+cze+cze*

A: 21 Given differential equation is D3+6D2+11D+6y=0. We have to find the general solution of the given…

Q: 5. Compute sin a e + 3e¬z

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Q: Let X = {a, b, c, d, e, f, g} and Y = {1,2). Let X (d) and let g: X Y %3D %3D be the function…

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Q: Solve Nonlinear Equation: Using the Fixed Point Method x=(exp(x))/3 use the following initial values…

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Q: Solve u =4UKX ullo,t) =56 uCXro) =100 l00 25 * Sinx+5X

A: The given problem is to find the solution for the given heat equation partial differential equation…

Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

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Q: Find the solution. (D4 + 18D2 + 81)y = 0 A y = (c, + c,x)e²"cos3x + (c,+cx)e2'sin3x. y = (c, + c,)…

A: 16 Given differential equation is D4+18D2+81y=0 We have to find the general solution of the given…

Q: 32 – 23 1. (a) What is the value of 23 - 32 (b) What is the value of VST+ V9 - V64 ? (c) Determine…

A: Solve the algebraic equations

Q: Given: Min Z=600,000x+500,000y 300x+100y>900 200x+100y>800 150x+150y>750 Solve for z

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Q: Of a lot of 10 items, 2 are defective. The number of samples of 4 containing (1) no defectives is…

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Q: (b) Stephanie starts with a large number of soccer balls. She gives of them to Alphonso and of them…

A: Stephanie starts with large number of soccer balls . She gives 2/5 of them to Alphonso and 6/11 of…

Q: A rectangular paperboard measuring 32 in long and 20 in wide has a semicircle cut out of it, as…

A: A rectangular paperboard measuring 32in long and 20 in wide has a semicircle cut out of it . To find…

Q: 1. (a) The reduced row-echelon form of the matrix A is shown to be matrix R, as given below: -1 3 -2…

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Q: Aşağıdaki başlangıç değer probleminin t = 1 noktasındaki yaklaşık çözümünü Euler yöntemi uygulayarak…

A: Numerical differentiation: Euler's method

Q: Fill in with the missing integers given that each of the matrices below is diagonalizable. (a) If A…

A: This question related to diagonalizable matrix .