1. There are 74 men, 64 women and 36 children at a party. Find the ratio  (simplest form) of the number of children to the total number of people at the party.

Q: Use the above to solve the following system of differential equations: 31= x1+2x2 3/2 = 2x1 + x2

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Q: Find f(t). f(t) = 4s [{{1}} + ) u(t-

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Q: Find the Inverse Laplace Transforms of the following. 4 1) | S-3

A: We will use laplace transformation table to find inverse laplace transformation

Q: e-s s(s+ 1))

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Q: Question 2 Demonstrate the solution of the following system using Gauss elimination with partial…

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Q: Find 8 + 10 + 12+...+324.

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Q: 1) ²₁²(x² + y²) dxdydz Convert the integral to cylindrical coordinates and integrate.

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Q: upper bound for Erland |Es

A: Trapezoidal rule Tn=∆2∑fxn-1+fxnn Simpson's rule Sn=∆x3fxo+4fx1+2fx2+....+4fxn-1+fxn where ∆ is…

Q: Find the coefficients of a* in (6 – ½a)6 and kª in (3k – 21)¹2

A: We have to find the coefficients of a4 in 6 - 12a6 and k4 in 3k - 2l12 . Note that,       a - bn…

Q: s, end behavior and shape.

A: Given: fx=x-100x+125x-702+40

Q: 2. Suppose that z is a function of a and y, and F(x2 - y², xy - 2², yz - 2²) = 0. Calculate and…

A: Solution :

Q: TON (B) Discuss the convergence of the given sequence: a(n) = sin 2

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Q: 5 -2s2-3s+4- L-¹1-

A: We will use Laplace transformation table to find inverse Laplace transformation of given function

Q: and AB= 6. What is the magnitude of A? . What is the angle between A and B if A.B=0

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Q: 9) **Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: The given problem is to find the highest and lowest temperatures for the given temparature equation…

Q: 2. Suppose that z is a function of a and y, and F(x2 - y2, xy - 2², yz - 2²) = 0. Calculate and…

A: Solution :

Q: Can someone show me how to make the truth table? Can someone show me. Example : All poets are…

A: Introduction: A truth table demonstrates how the truth or falsity of a compound statement is…

Q: I. 1 Evaluate each determinant. 3 -3

A: The given determinant is -431-3 ={(-4)×(-3)}-(3×1) =12-3 =9

Q: convert the following differential equation into a Perfect equation and then Find its general…

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Q: The wave equation W 0 = 10%

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Q: Solve by simple substitution. 1. xy²(xdy + ydx) = (xy-2)dy

A: We have to solve given differential Equation.

Q: Just like in a projective plane, two distinct lines always intersect on the spherical plane.

A: Straight lines in spherical plane are the great circles. So, any two different lines meets at two…

Q: Triplets Peter, Reeta and Nikita have two for getting home from school each day: cycle on a tandem…

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Q: Given the plot of normal distributions A and B below, which of the following statements is true?…

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Q: Find the general and Singular Solution of the Following differential equation x² = 1 + P²

A: Given differential equation  x2=1+p2 Then  x=1+p2 Differentiating with respect to p ,we get…

Q: What are the terms a₀, a₁, a₂, and a₃ of the sequence {aₙ}, where aₙ equals  a) 2^n + 1? b) (n +…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: Mid-West Publishing Company publishes college textbooks. The company operates an 800 telephone…

A: Given that Mid-West Publishing Company publishes college textbooks. The company operates an 800…

Q: Let vector field H = (-yz, xz, z²) and let C be the cylinder defined by x² + y² = 4 for 0 ≤z ≤ 3-…

A: We will use divergence theorem

Q: 5. Set up an iterated triple integral in the order dxdzdy that gives the volume of the solid in the…

A: Draw the region of the solid as shown below,

Q: 1. Use the operations in o-algebra, such as union, intersection, difference, countable unlöll and…

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Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, a) + (2y-3')] + 7k…

A: Solution :

Q: Write the compound statement in symbolic form. Set A. p: Princess is happy. q: Princess paints a…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: F9-3. Determine the centroid y of the shaded area. 2m y 23 1 m F9-3 1 m

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Q: 1. A circle centered at the origin goes to itself under inversion in the unit circle.

A: The statement is true.

Q: 4. Solve the system by using the matrix exponential 1 480 x' = 0 1 -2 -5 -4

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Q: L-1 | 53 5 = 3s +1 3 – s2 + s - 1

A: Find the inverse Laplace transform of 3s+1s3-s2+s-1. Rewrite the denominator:…

Q: Let C(x) be the statement "x has a cat." let D(x) be the statement "x has a dog," and let F(x) be…

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Q: əz ax+by+sin(ax +by) show that b əx Q5-A) If z = (ax +by)² +e+by+sin( ax a Əz dy

A: The given problem is to show the following condition for the given multivariate function of z.

Q: P300 to rent a tent, then P100 each night you plan to stay there. Determine the function that…

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Q: (n + 1)(n − 2). Use this fact to The sequence (an)n>1 starts -1,0, 2, 5, 9, 14... and has closed…

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Q: Find the convergence radius and convergence interval of the next series 14. Σ (-2)" √n (x+3)" n = 1

A: Problem is solved using concept of convergence.

Q: Let A be an n x n diagonalizable matrix. Suppose T : R" → R" is transformation with the standard…

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Q: Given the differential equation y'' - 3y' - 4y = 0, y(0) = 2, y'(0) = -1 Apply the Laplace Transform…

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Q: Draw a direction field for the given differential equation. Based on the direction field, determine…

A: To slove the problem

Q: 2. It is possible for two angles of a triangle in the hyperbolic plane to each have a measure of 2.

A: Solution

Q: (-1)":nEN (a) Find the infimum and supremum of the set S= = {2-(-1)" (b) Prove or disprove: If a set…

A: Here, we need to find infimum and supremum of given set.

Q: Find a line that intersects the line that passes through both lines make? and contains R. What angle…

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Q: 5) For each + ive integer i, where i is equal to three, then find the union and intersection of…

A: 5 Given that Ai=x∈R|−1i<x<1i=−1i,1i. a We have to find the A1∪A2∪A3 and A1∩A2∩A3. Here,…

Q: Explain the process of correctly determining Horizontal Shifts. Include a mathematical example to…

A: We have to determine the process of horizontal shift.

Q: Use Runge-Kutt method to solve the following D.E.

A: Given the differential equation                      y'=1+y2+x3;  y(1)=-4, h=0.01 To find:…