Find the equation of the line through P = (13, 12) such that the triangle bounded by this line and the axes in the first quadrant has the minimal area. (Use symbolic notation and fractions where needed. Use x as a variable.) y =

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Q: Let G = Z9 X Z12 X Z16- (a) Find all subgroups of G of order 144.

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A: see my solution

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A: see my solution

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A: To solve the given differential equation.

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Q: Maximize subject to: Z = $140×₁ + $150x₂ 8x1 + 2x₂ 40 9x2 + 3x₂ ≤ 120 X1, X₂ ≥0

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A: Solution: Given function is, f(x)=sin2x3x2 sin(x)=∑n=0∞-1nx2n+12n+1! f(x)=∑n=0∞-1n2x32n+12n+1! x2…

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Q: Question * Find the value of w for P(-w<Z<w)=0.9545

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A: Given as,  5 trails and each has 12 courses.

Q: 4x - 10 Let f(x)= 1-(2x-5)** a. Find the Taylor series representation for f about x = 2.5 that is…

A: As per the question we are given a function f(x) and we have to : Find the Taylor's series…

Q: Consider the geometric sequence Po = 3, P₁ = 9, P₂ = 27, ... a) Find the common ratio R = b) Use the…

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Q: Solve the equation (D² - 3D + 2) y = 2x² + 1 Oy=c₁e² Oy=c₁e* + c₂e² + 3 + 4x + 5x² + c₂e²x + 4 + 3x…

A: Solving the differential equation below

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Q: aldate the following meg a.) JIS a ln y tan z dV if S = {(x, y, z) = ) € R³ : -1 ≤ x ≤ 0, e ≤ y ≤…

A: We have to find Tripple Integral of region S.

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A: This is a question from Autonomous Differential Equation.

Q: (1,2,3) (0,0,0) 4x³y dx + (x²-25) dy-5yzª dz

A: find the value of function using integrate

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A: According tot the given conditions the limi values of x,y and z are0≤x≤50≤y≤25-x20≤z≤25-x2Hence…

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A: Given as, A = {4, 5, 6} and B = {5, 6, 7}

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Q: Obtain the z-transform of the following: x(n)=na" sin(an)u(n)

A: Let us start solving the problem step by step.... We need to find the z-transform of x(n)

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Q: Find a series representation for f(x) = 1/(x^2 -11x + 24) about a center: x = -2

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Q: SET-UP a triple integral that will solve for the volume inside the sphere a² + y² +2²= 2z and above…

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Q: II. Find the inverse of each matrix. -9 6 2. 4 -8

A: Let us consider a 2x2 matrix A=abcd The inverse of the matrix exists if the determinant of the…

Q: d) [28: 16, 8, 4, 1] 01 30 02 50.00 03 25 04 0 X x x

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Q: Directions: Translate each argument into symbolic form (using the suggested letters) and determine…

A: We have: W=We close the window L= there is less light So,  "If we close the window, then there is…

Q: Exercise 8.2.8. Let q: CX → RX be the map o(z) = |z|² where |z| is the modulus of z. (1) Show q is a…

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Q: ries solutions of t

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Q: d interm

A: Introduction: The formula of the law of cosines for a triangle ABC with sides a,b,c is given by,…

Q: 3: Using Laplace Transforms, find the solution of the initial value problem: d²y dx² +9y 9. sin(t).…

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Q: 1. (a) (i) Determine the least degree of the polynomial function given by the following graph. (ii)…

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A: The given equation is y=-x2-6x-4 The standard quadratic form is  y=ax2+bx+c, Where a, b, c are…

Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² + ²…

A: S is bounded by x2+y2+z2 =4 and enclosed by cylinder x2+y2 =1Thus,-4-x2-y2≤z≤4-x2-y2…

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A: Ans: 180πm²sec Explanation: Area of circle = πr².......  A=πr²  ----------[1] Differentiating ....…

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Q: Let br = sin-¹) and C₂₁ = sin Σ(1+bn) n=2 +00 Σ(bn – cn) m=? ou+ for all n N such that n ≥ 2

A: both of the series is divergent. see my solution below