EVALUATE THE FF: C(5,5) C(9,8) P(10,2) / C(10,2) P(100,1) - C(100,1)

Q: Consider the discrete-time dynamical systems (R, No, S¿) given by the iteration of the map f:R →R be...

A: The complete solutions are given below

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A: To evaluate the given double integral. 

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A: Mixing problem is one of the important real-life applications of ordinary differential equations. A ...

Q: Fill in the blank with the appropriate word, phrase, or symbol. A real number that cannot be written...

A: A real number that cannot be written as a ratio of two integers  is known as " Irrational  Number".

Q: Illustrate how you would use chip abacus or base ten pieces to find 532 – 346 AND explain how this r...

A: To use the chip abacus for subtraction proceed as follows hundreds tens ones ○○○○○ ○○○ ○○    ...

Q: Congruent OTs. If y' = f(x) with f independent of y, show that the curves of the corresponding famil...

A: Given: y'=fx, where f is independent of y. An orthogonal trajectory of the family is defined as any ...

Q: 8. Let A and B two 5 x 5 matrices of determinant 3 and 2. Compute: (a) |AB| (b) |2A| (c) |B-1| (d) |...

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Q: Prove that (ab)2 = a²b² for all a, b in a group G if and only if G is Abelian.

A: Let G be set and "·" be a binary operation then G,· is a group if  Clouser property. That is, if a,...

Q: Evaluate the inverse Laplace transforms of the following: 4. +. s-5 1. 6+s 2. s+35s-3 6s -5 4s +7] 3...

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Q: Problem 1. Let V be the set R? with addition and scalar multiplication defined by (x1, X2)€(Y1; Y2) ...

A: Given V be the set ℝ2 with addition and scalar multiplication defined as follows: x1,x2⊕y1,y2=x1+y1-...

Q: Apply Cauchy integral formulå to find the value of the integral: sinz Se dz; where C:|z| = . Also ap...

A: Given: ∫Csinzcosπzdz; where C:z=14 and ∫02πcos2θ3+2sin(θ)dθ To evaluate: First integral by using Cau...

Q: Q2) Find all local Extreme and Saddle points of the 2x-2y +y +4 function f(x,y)-xy-x-y

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Q: Two piecewise functions are shown below. -3x for x 2 S x +2 for x 2 What is the value of 3h(2)+4g(1...

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Q: A population P obeys the logistic model. It satisfies the equation dP 5 P(9 – P) for P > 0. dt 900 (...

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: 26. f(x) = 3 cos x = 2 cos x + 3 sin x, g(x) 2 sin x

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Q: Determine the nature of the stationary points of the function in the following case: f(x,y) = (x2 + ...

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Q: Consider the basis B = } |0|, -- a. Find the coordinates of the vector i = | 1 rela b. Consider the ...

A: Introduction: A linear transformation matrix is one in which T(x)=Ax for a vector x in the domain of...

Q: e bank is even willing to accommodate you by compounding the interest 7 times a year, al monthly com...

A: In the given question, the concept of compound interest is applied. Compound Interest Compound inter...

Q: II. Direction: Solve the given problem using two-column proof. Given: In circle O, AB BC Prove: AAOB...

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Q: A 500 gal capacity tank initially contains 200 gal of water and 5 lbs of salt per gallon. To reduce ...

A: Given  A 500 capacity tank initially contain v = 200 gal of water and 5 lb. of salt per gallon  To r...

Q: Find the inverse of the following matrices: 1) 3 A = 2) (: ) A = 3) 1 3 1Y A = 0 3 4 2 0

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Q: QUESTION 1 a) Given a function f(x)=x-3x-9x+2. i) Find the x-intercepts and y-intercept of f(x). ii)...

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Q: Find the cube roots of unity in rectangular form

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Q: 2 Let / be the line through the point with coordinates (-1,1,0) in the direction of the vector 1 Whi...

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Q: Solve the given differential equation. dy = 18-ay %3! dx O y= (6x22 -C) O y = 6x2 + C O y = 6x + x2 ...

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Q: 4. Find the exact arc length over the interval. from x = 2 to x = 3 16x2 а. х

A: Arc length of the curve

Q: Solve the following and show your complete solution 1. Find Maclaurin Series Expansion and Compact f...

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Q: You are a process control engineer in a water purification plant. In a certain subprocess, water ent...

A: Mathematical methods used to solve equations or evaluate integrals or solve differential equations c...

Q: Hanging cable. It can be shown that the curve y(x) of an inextensible flexible homogeneous cable han...

A: Given- It can be shown that the curve yx of an inextensible flexible homogeneous cable hanging betwe...

Q: Perform the indicated operation. 4,/27 - 6/75 The answer is (Type an exact answer, using radicals as...

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Q: Learning Task 1. Identify the appropriate unit of measure that can be used to the following quantiti...

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the ...

Q: (i) The product of two functions which are order exponential is order exponential. (ii) If ƒ : [0, ∞...

A: Given: Let's consider the following statements and answer with True/False and explain the reason for...

Q: Solve the following systems of congruences. a. x = 2 (mod 5) x = 3 (mod 8) b. x = 4 (mod 5) x = 2 (m...

A: Given system of congruence are a) x≡2(mod5)    x≡3(mod8)b) x≡4(mod5)    x≡2(mod3)

Q: 2. Consider the following multigraph H: a) For k = 2,3,4,5,6,7, find a cycle of length k in H. b) Fi...

A: Definitions: Circuit: Traversing a graph such that not an edge is repeated but vertex can be repeat...

Q: 6x² – 2x +5 dx? "hat is 2x + 1 (A) 2 15 + 2 In |2x + 1| + C 2 3 5 15 -x + 4 In |2r +1| + C (B 2 3 15...

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Q: y(4) + 10y" + 50y = 0 y(247) = 0; y'(247) = - 3; y"(247) = 5; y°(247) = - 3 %3D

A: As pwr the question we are given the following homogeneous linear differential equation : y(4) + 10y...

Q: dy dr 4 - y (b) _ In(교2 + y? + 1) dr dy (a)

A: Evaluation of the double integral

Q: When a polynomial P(x) is divided by 4x-1 When P(x) is divided by 1-4x 18. the remainder is R. the r...

A: Polynomial

Q: * which of the following is infinite ret which is example of bounded an on and Countable ? 9. Yんe se...

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Q: 8 (541)(2e78i) 1. (720)4

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Q: Exercise 3.5.2 Suppose that G, G' are finite groups and T:G→G' is a group homomor- phism. Show that ...

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Q: Exercise 3.1.18 State whether each of the following statements is true or false and give a brief rea...

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Q: 1. Conclusions Consider the following set of premises: (1) If it is not too cold and if it doesn't r...

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Q: 10. By Newton's or by any other algebraic method find the number of persons who probably will be tra...

A: Newton's forward difference formula for five points can be defined as follows. y(x)=y0+pΔy0+p(p-1)2!...

Q: Let S be the set of numbers of the form { ((-1)^(n + 1)) (n - 1)/(n + 1) } where n is an element of ...

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Q: How many integers greater than 130 but less than 640 are divisible by 7? O None of these. O 72 O 73 ...

A:  Correct ans is = 73 Please find attachment for the details solution 

Q: 8) Using your derivative from the previous question, determine the equation of the tangent line at 3...

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