Show that if (, y, z) is a Pythagorean triple then 60|xyz.

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Q: 2. Jv. (x) + Jv, (X) = 2Y Jv (X) 27 I need two examples to prove this property using the same variab...

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Q: Check 48 Use a Pythagorean triple to find the value of x. 20 x = X=

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Q: Determine the coordinates of the centroid of the shaded area shown.

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Q: prove that C+Ā +3 C+A +B ARC Using the truth table

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Q: For the ODE 4y'' +100y=sin(wt), determine the value of w where this will experience resonance. For t...

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Q: Table 5.2.1). . (a) (c) -7/8 dx 10. (a) / Fdx (b) dx (c)

A: Introduction: The indefinite integral is the process to find the function which on differentiation g...

Q: Problem 3. First verify that y(x) satisfies the given differential equation. Then determine a value ...

A: The solution of the equation is defined as the function that satisfies the differential equation. In...

Q: = (1- t)y ,subject to the dt dy 1. Use Euler's Method to solve the differential equation initial con...

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Q: one of the More important the orem {n real analysis is faton's Iemmar state the lemma aud say some t...

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Q: Solve the following differential equation by using Laplace transform y" = 5, where y(0) = y =0 %3D

A: Introduction: The Laplace transformation of the derivative of a piecewise continuous function ft is ...

Q: 8. The statistical measure that indicates how measured data vary from the given mean value of that d...

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Q: 11)For what value of 'x', the expression x - 5x + 6 is poS A) x 3 B) x > 2 and x 4 and x 3

A: 11 Given expression is x2−5x+6. We have to find the value of x for which the expression x2−5x+6 is p...

Q: Question 5 Find the order and degree of the following differential equation. ду + = cos x Əx əx², əx...

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Q: Problem: Find the inter Polating pPolynomial of degree one for f(x) = (2x -a) Using the Point %3D 4 ...

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Q: Determine which of the tableaus, if any: 6) A) Gives an infeasible solution. B) Gives an optimal sol...

A: In an LPP, there are many cases for example optimal solution, infeasible solution, unbounded solutio...

Q: Question 4 Find the solution of the D.E. below: x cos? ydx+ tan ydy = 0 A y2+ (tanx) 2=c B x2+ (cosy...

A: We will use separation of variables technique to solve the problem.  

Q: 2. A doctor's fee is based on the length of time. Up to 6 minutes costs Php 250, over 6 and up to 15...

A: Represent the doctor's fee with the expression Ct.  

Q: Example 5: Find fff, Vx2 + z²dV, where E is the region bounded by the paraboloid y = x2 + z2 and the...

A: Cartesian co-ordinate and polar co-ordinate x=rcosθy=r sinθx2+y2=r2θ=tan-1yx

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Q: 1. Without directly using the calculator, compute the zero- through fourth-order approximation of v7...

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Q: 4. The perpendicular offset of the PT of a simple curve is 120.20m. If the angle of intersection is ...

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Q: Suppose V and W are finite-dimensional. Then L.V; W / is finitedimensional and dimL(V,W) = D (dim V)...

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Q: If x and y are real numbers and x>1, prove that there exists a positive integer n such that x" > y

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Q: Let A=(0, π ) υ (π e?] %3D c. Is A a closed set? d. Does A contain any isolated points? е. Find the ...

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Q: Q2: find the integral of trigonometric function cos sin* dx

A: Given the integral is ∫0πcos5xsin4xdx

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Q: 1. Determine the following information regarding each function step by step and then sketch its grap...

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Q: Use the recursive definition of summation, the triangle inequality, the definition of absolute value...

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Q: s) One of the mere important Heorem in nul ane is Fatou's Lemna. State the Lemna and say somethuig a...

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Q: A market survey was conducted in four cities in Zambia in order to find out the preference for brand...

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Q: Simplify the equation us

A: In this question, the concept of boolean algebra is applied. Boolean Algebra A boolean expression is...

Q: Consider the logistic equation in the form P'(t) = CP − P2. C = 4 Draw the directional field.

A: The part of slope line is called the lineal element.

Q: 6. (a) Write the following in reduced row echelon form.. Determine (b) a basis for and (c) the dimen...

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Q: 1. Find the particular solution of the DE: y' = (x^3) + e^(10x) + 7 if y = 20.1 when x = 0. You may ...

A: The given differential equation is  y'=x3+e10x+7, if y=20.1 and x=0  

Q: olve the lewton-R

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Q: Question 2: Given the difference equation y[n+1]-2y[n] = x[n] and the initial condition is yf-1] = 1...

A:  Part a) y[n+1] - 2y[n] = x[n] Since the highest order term in this differential equation is y[n+1]....

Q: 32. Construct a nondiagonal 2 x 2 matrix that is diagonalizable but not invertible.

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Q: y =- Inx; x?y" + xy' – y = lnx %3D х

A: A differential equation contains independent variables, dependent variables, and the differential co...

Q: Evaluate each expression if x=-2, v = 5, and z=-3 3x - 2x+ y H,W 7. -)3D0.159090909 - 2z(x+2xy) 44

A: Given expression: 3x2-2x+y-2zx+2xy Given that x=-2, y=5 and z=-3

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Q: The directional derivative of f(x, y, z) = xyz at point (-1, 1, 3) in the direction of vector î - 2j...

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Q: 2. Consider the differential equation dy da = 3(2-y)(y+ 2). %3D If y(0)=1, then determine lim,-00 y(...

A: We know that if the first order derivative of a differentiable function is positive (nagative) at a ...

Q: A supplier gives a 25/9 discount series to customers who buy goods worth Php 50,000 or more. If a cu...

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Q: prove that C+Ã +3 C+A +B ARC Using the truth table

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Q: 4 Find the dot product of 6 -2 3] and -1 2 O 28 Not possible. O 32 O 12

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Q: We defined the relation between sets by A ~ B means that there there is a 1-1 correspondence ƒ : A →...

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Q: Direction: Determine if it is a mathematical sentence or an expression. 3x3 + бх -4 4 3. 3 The provi...

A: In order to determine whether it is a mathematical sentence or an expression, note that, whenever co...