WRITTEN WORKS #1 PERMUTATIONS A. List down all possible permutations in each of the following items Given Answer 1. S, E, T 2. T, E, N 3. T, E, R, M

Q: prove that Cl, O pen

A: To prove (1,6) is an open set.

Q: 1 Let {fn} bes sequence of real nonnegative functions on R', consider the following four statements:...

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Q: X'0, X1,* , Xn E (a, b) are arbitrary points such that x; # x; for i # j. Fur- thermore, let P be a ...

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Q: y" + 2lf + 2y = 0, y(0) = 1, f(0) = 1 he solution as a linear combination of y, and y2-

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Q: The highest order of polynomial integrand for which Simpson's 1/3 rule of integration is exact is (A...

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Q: What is the coefficient of x° in the expansion of (x + 1)14 + x² (x – 1)13?

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Q: 9. Find all real values of c such that the vectors and are linearly independent.

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Q: A population grows according to an exponential growth model. The initial population is Po = 12, and ...

A: Given P0=12, r=0.35 Population of An exponential growth model    

Q: B. Simplify each of the following in factorial form. Do not evaluate. a. 12 x 11 x 10 x 9! b. 72 x 7...

A: The factorial of a integer number is the product of all the integers from 1 to the number. Factorial...

Q: A bag of gumballs contains 10 green gumballs, 8 orange gumballs, 12 pink gumballs and 15 red gumball...

A: Given: Total Green gumballs = 10 Orage Gumballs = 8 Pink gumballs = 12 Red gumballs = 15 Total gumba...

Q: +sin(x)-8x² )dx

A: Given  we have given the integral ∫35(ex+sin(x)-8x2)dx (a) calculate analytically ∫35(ex+sin(x)-8x2)...

Q: Plz solve full question within 30 mins I'll upvote your answer

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Q: Question 3 Consider the DE y' = y + 9y + 8y³. A) Find the critical points of the DE. B) Sketch the s...

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Q: X"+5x'+4x=2t^2+4 with IC x(0)=3 and x'(0)=1 Find x(0.25) to at least 3 decimal places of accuracy.

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Q: Exercise: Let f(x) = x5 + 5x and g(x) = x5 + x2. Does f ∈O(g(x))? Does g ∈O(f(x))?

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Q: O a. y[n] = ay[n – 1] + a[n] O b. y(t) = x(2t + 1) O c. y[n] = nx[n] O d. y(t) = ax(t) +b

A: from the options  option b and option d are time invariant 

Q: Let Z be the set of all integers and Q be the set of all rational numbers and R be the set of all re...

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Q: In an iterative method, if the estimates obtained does not approach to "near root" values, we say th...

A: In some cases  it is difficult to obtain the root by using fixed point iteration method  because by ...

Q: 4. 10x + 4y - 22 = 20, 3x + 12y - 2 = 28, x+ 4y + 72 == 2.

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Q: Newton -Raphson Method is applicable to the solution of O Algebraic equations only O Transcendental ...

A: We have to find when Newton-Raphson Method applicable.

Q: Find the Laplace transform of the solution to the following initial value problem y + y = f(t), y(0)...

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as ∫0∞e-...

Q: = U.

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Q: Solve the following equations in Z6 with x expressed in both standard and non-standard names: (i) xx...

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Q: d) A company is offered a contract promising annual net returns of $22,000 for six years. If the com...

A: Solution

Q: 12. If (f, 0) is the focus of the parabola given by y? = 12x, and (h, k) is the center of the hyperb...

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Q: S. dx What is the estimate of the integral using a single application of Simpson's 1/3 Rule? +6x+10 ...

A: Given equation is  f(x) = 1x2 + 6x + 10.The value of table for x and y x 0 0.25 0.5 0.75 1 y 0....

Q: 9.2.6. The group G has 270 elements, and Q is a subgroup of G of order 9. Assume NG(Q) = G, and let ...

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Q: B. Evaluate each expression. Given Working Outs Answer 1. P (6,2) 2. Р(33) 3. P (8,2) 4. P (5,3) 5. ...

A: To evaluate the following permutations, P(6,2) P(3,3) P(8,2) P(5,3) P(9,4) Solution is given in th...

Q: Find an invertible matrix P with integer entries such that A = PDP-1.

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Q: The system of equations is given by: ax + by = -19 ca + dy = 0 a If the inverse of 3 19 is 19 What i...

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Q: (i) (Z- Q) and specified in it using the most concise notati

A: Firstly we write elements of both sets Z and Q and then find Z–Q

Q: An alloy of 9 ct gold contains gold, copper zinc and silver in the ratio 9: 12.5: 2.5. (a) Express t...

A: Properties of ratio and proportion If a:b then ac:bc If a:b then ac:bc If a:b then b:a

Q: Find y as a function of t if 50y" + 17y' + 13y = 0, y(0) = 9, y(t) = y' (0) = 7. Note: This problem ...

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Q: Using Bisection method find the solution of g(z) = 2z – 3 sin(z) = 8. Use as initial values n and 2n...

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Q: 11. Three people (X, Y, Z) are in a room with you. One is a knight (knights always tell the truth), ...

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Q: Can u give 10 matrix terminologies and its definition.

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Q: 2) ƒ(t) = 3tan(t) Period: Asymptotes: Intercepts: Even, Odd, or Neither:

A: A function is an equation connecting two variables, For the functions f(t), the variable t is called...

Q: disprove

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Q: 2. As stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60...

A: Let at any time t radius of circular ripple is r. Given that drdt = 60 cms     since drdt = 60 cm/s...

Q: 5x²+3 dx x (x²+2)

A: Given: Let us consider the given,∫5x2+3xx2+2dx

Q: Chouse a SPFU AL FUNCTION 6ve niew / explan atim a Provide an of how the differential equati n corre...

A: consider the special function f(x)=e-x                                                             ...

Q: 3.) The Holiday Meal Turkey Ranch is considering buying two different brands of turkey feed and blen...

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Q: Calculate the volume of an n-dimensional sphere.

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Q: 1. By the method of least squares, find the straight line that best fits the following data: I| 2 3 ...

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Q: 3) Let R be a commutative ring. An elementre R is called nilpotent if rm = 0 for some m e N. Show th...

A: Commutative ring and ideal

Q: 1. Consider the function Sa(1 – x) sin r€ (0, 1), πε (0, 1) , - f (x) = %3D (0, x € {0, 1}. (a) Prov...

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Q: 16. (i) Is the binary operation a *b = a + b – ab commutative for all real numbers a, b? (ii) Is the...

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Q: Let A = {#, 7, x} and let R be the relation on A given by R = {(7, 7), (#, #)}

A: We have to  Prove or disprove reflexivity, symmetry and transitivity of R.

Q: The False-Position method of finding roots of nonlinear equations falls under the category of a (an)...

A: We have to find the correct option from the given options.

Q: 15. A rectangular tabletop is made from 1000 square tiles of the same size with no space between the...

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