ind the all possible number of different multi sets of size '4' from -element set, in which at least one element appears exactly twice

Q: The function f(x) = 250(0.65)" represents the amount of kryptonite left after n hours. At what rate…

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Q: Q2. Let i) ii) f(x)=√√x andg(x) = V1-x Find the domain of the function f(x) and g(x). Compute the…

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Q: Q1: Show that A × Adj(A) = Adj(A) × A = det(A) XI -10 3 Q2: Given A = 1 3 4, compute the inverse…

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Q: Assume two nations: Vietnam and US, and two commodities: clothing and  wheat. There is only one…

A: We have two nations: US and Vietnam. They both producing clothing and wheat. Here is only one factor…

Q: P-6 Solve the Wave equation subject to the given condition u(0, t) = 0, u(L, t) = 0, t>0 ди u(x, 0)…

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Q: The imaginary part of sin j is _____.

A: Introduction: The complex numbers are represented thru a Cartesian plane known as the complex plane,…

Q: and the Maclaurin series of f(x) = tanh ¹x

A: According to guidelines we solve one question.thanku

Q: 18) Find Possible Positive, Negative or Imaginary Zeros. f(x) = x² + 2x³ - 23x² + 3x - 18 Count the…

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Q: 12. Let A be the set of all integers = {..-3,-2,-1,0,1,2,3,...}. Define the relation R on A as…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: For each of the following systems, find all the equilibrium points x₁ = x₂ a) (x₂ =−x₁ - x₂ + ² -X1…

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Q: Given the function Evaluate the divergence at the point (1, -2,3) a. 0 b. -64 c. -3î-48ĵ+43k d 29…

A: Introduction: Divergence is a vector operator in vector calculus that operates on a vector field to…

Q: The vector with length 4 and direction k is Di+Di+ j+ k.

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Q: Find an equation for the plane that is tangent to the surface z= In (x²+y^) at the point P(0,1,0).…

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Q: limx→0 (x log x) = 0 and  limx→0 1/log x = 0. Let m, n ∈ N. i. Using L’Hˆopital’s rule, prove…

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Q: 4) Determine if the following statement is true and either prove it or provide a counter example:…

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Q: se the Sales information above to answer this question. he value x = 42.538 should be used in the…

A: In this question, the number of widgets is to be determined.

Q: Find the fundamental set of solutions for the following differential equations. Your answer should…

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Q: V = M2x2 (IR) M = { A€ V A = A²} N = {AEV A = -A^²} Subset V = M let of the vector space V N prove…

A: To prove that V is direct sum of M and N V=M⊕N, we need to prove  V=M+Nand M∩N=0

Q: 2), By Engineering Analysis and 1 O.D

A: Given data: length A=12m Width B=4m Depth C=3m Weight W0=50kg

Q: 20) Using Rational Root Theorem and Descartes' Rule of signs. 3 Find all roots of f(x)= x³ + 3x² +…

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Q: Find the highest point, low point and saddle point (if any) of the f(x, y, z)=3x² + 2xy + y²

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Q: B. Solve the eigenvalues and eigenvectors of the following: 1. Determine the eigenvalues and the…

A: We need to find the eigenvalues and associated eigenvectors of the given matrix. First win will find…

Q: Which of the following sets is a basis for P₂? (x² + 3x +5,x²+x+1,3x² + 9x-1) (7x²-x+1,2x²+2x+3,…

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Q: hours while each unit of product C requires 2, 4, 5 hours respectively in the three departments.…

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Q: Find the probabilities of the following questions: For example, the average temperature of New York…

A: Note: “Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Question * The Laplace transform of is: F(s) = 1/2+² 2S - This option F(s) = - ++ This option <-TES…

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Q: 4. A population of squirrels is currently measured to be 500 squirrels. a. Write a function P(t) to…

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Q: Suppse you were given some elliptic curve E = x³+ax+b over some prime field Fp. Now, say you I know…

A: Given: The elliptic curve, E:y2=x3+ax+b over some prime field Fp. The points; r,0, s,2 and t,3, are…

Q: Let A(z) = f(t)dt where f is the function given by the graph bele 3 2 1 2 3 4 5 7 1 -2 -3 -4+ A(5)=…

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Q: Assume that A is an odd order skew symmetric matrix. Prove that det(·) is an odd function in this…

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Q: Let G(s) = O a. 60 O O O O b. 68 c. 70 d. None e. 64 128 be the Laplace transform of the continuous…

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Q: A tent is shaped as cone. It is 6 feet tall and has a floor area of 16 ft². How much space is inside…

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Q: 12. Consider a population that grows linearly, with Po= 8 and P10 = 38. a) Give an explicit formula…

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Q: (x−7)(x−3)* Give a step-by-step e-6 proof that lim Q(x) = Q(2). #-2

A: Given function: Q(x)=52x+1x-7x-3 To show: limx→2Q(x)=Q(2) byε-δ method.

Q: Suppose that f has a point of inflection at (c,f(c)). Which of the following is not possible? a) f…

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Q: would you please write this part in handwriting? because im not sure i understand. Let…

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Q: Let the vector v have an initial point at (7, 8) and a terminal point at (1,7). Plot the vector V…

A: Give that the vector v have an initial point at 7,8 and a terminal point at 1,7.

Q: 5. Prove: if limx→a f(x) = L, and limza g(x) = M, then lim (f(x) + g(x)) = L + M. x-a Definition.…

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Q: Which of the following statements are true? ³n² sin(n²) I. lim : 1. n→∞0 n+1 II. Let {an} be a…

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Q: Find the area of the region bounded on the left by the curves y = e3x and y=3-x, and on the right by…

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Q: 1. Solve the following systems Ax=b by Gaussian elimination without pivoting: 1 1 -1 a) A= 1 2-2 b=0…

A: We have to solve the following systems Ax=b by Gaussian elimination without pivoting. a)A=  1 1-1…

Q: A. Solve the following matrices using the following methods (a) matrix method, (b) determinant…

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Q: 14. The world population reached 6 billion people in 1999 and 7 billion in 2012. Source negative…

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Q: Chapter 9.4, Question 8 What single payment today would replace a payment of $5000 in one year and…

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Q: Let f(t) be the balance in a savings account at the end of t years and suppose y = f(t) satisfies…

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Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x, y) = 10xye-(x²…

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Q: What is the total area of the banner in square centimeters?

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Q: 2. A BLOCK IS RESTING ON AN INCLINE OF SLOPE 4:3 AS SHOWN IN THE FIGURE BELOW. IT IS SUBJECTED TO A…

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Q: a) Find all the real numbers à such the vectors 1- x 1+x and x+1 1 are orthogonal.

A: Two vectors are said to be orthogonal if their dot product is zero. Dot Product There are two…

Q: P-5 Solve the Heat equation subject to the given condition Assume a rod of length L u(0, 1) = 0,…

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