X x2+25

Q: 7. The supply and demand curves for a new widget are shown in the lower graph on the right. Notice…

A: a. Before the demand shift, the equilibrium price was where the demand curve d1 and supply curve…

Q: 20. Prove that A is invertible if and only if A = QR, where Q is orthogonal and R is upper…

A: We have to  Prove that A is invertible if and only if A = QR, where Q is orthogonal and R is upper…

Q: If I, J are ideals of R, define I + J by I + J = {i + j | i E I, j E J} Prove that I + J is an…

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Q: If f(x) = 3x5 - x + 3, then what is the remainder when f(x) is divided by x-2?

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Q: uppose a 32-pound weight stretches a spring 2 feet. If the weight is released from rest at the…

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Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A: Given that Nt represents the number of people in a community who are exposed to a particular…

Q: if -Why does sin(an) Converge is Ano and an converges

A: Apply Mean Value Theorem on f(x)=sin(x) in the interval [0,x] ,    x>0.  So, f'(x)=cosx. By Mean…

Q: Find the equilibrium vector for the given transition matrix. P: 0.42 0.58 0.22 0.78 The equilibrium…

A: we are given the transition matrix  P=0.420.580.220.78 since the entries are all positive the given…

Q: In Z₁6, write down all the cosets of the subgroup H = {[0], [4], [8], [12]}. (Since the operation in…

A: We see, elements of Z16 are {[0], [1], [2], [3], [4], [5], [6], . . . . . . . , [15]} H = {[0], [4],…

Q: If A is a symmetric matrix, show that every eigenvalue of A is nonnegative if and only if A = B² for…

A: We know a well known theorem:: If t is an eigen value of a matrix A.then t² is an eigen value of a…

Q: What is the orthogonal projection into the trivial subspace?

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Q: Use the given transformation to evaluate the integral. x² y² z² + + 49 36 25 SSC R 3 dx dy dz, x =…

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Q: Let F(x) = ₁ In(cott + 10) dt, Find F'(x)

A: The given problem is to find the derivative of function F(x). Given F(x) is Integral Function. We…

Q: The partial fraction decomposition of 1 x - 3 f(x) g(x) + f(x) = _g(x) = " where Zet x³+2x²+9x + 18…

A: Given fraction is  2x2 - x + 3x3 + 2x2 + 9x + 18            By trail and error method  x…

Q: Construct a simple graph with vertices T, U, V, W, X, Y whose degrees are 2, 2, 1, 1, 2, 2 What is…

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Q: True or false: If a > 0, then x ln(2) ≥ 2ln(x). True False

A: We have to check the given statment is true or false .. We have given x>0 So For this we take x=1…

Q: expand log_(b)(xz^(3)) as a sum or difference of logarithms without exponents

A: To expand logb(xz3) as a sum or difference of logarithmic without exponents .

Q: Catherine Dohanyos plans to retire in 20 years. She will make 20 years of monthly contributions to…

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Q: Find the eigenvalues and eigenvectors for A = The eigenvalue a + bi = The eigenvalue a - bi = -201…

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Q: 2. State the range, domain, vertical asymptote, horizontal asymptote, y-intercept (write as a point)…

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Q: Given the following set of points: 1 2 1.5 5 errors. 2.0 10 2.5 16 3.0 25 f(x) Find the best power…

A: The data table is given as   x 1 1.5 2 2.5 3 f(x) 2 5 10 16 25 To find the power function…

Q: Prove that a cyclic group is abelian

A: Given statement is, "A cyclic group is abelian".  We need to prove that a cyclic group is abelian.

Q: Find the average value of the function f(x) = -2x4 on the interval 2≤x≤6

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Q: uestion 2. (1) Metric of surface of revolution. Consider a smooth surface of revolution S which has…

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Q: The hourly wages in a particular industry are normally distributed with mean $13.20 and standard…

A: The mean hourly wage is μ=$13.20, the standard deviation is σ=$2.5. Total number of worker n=40…

Q: 1. A bakery makes four different kinds of cake. Each cake can have three different kinds of…

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Q: A professor records the following final grades in one course. Construct a frequency table for the…

A: Frequency = number of certain grades Relative frequency = (number of certain grades/total number of…

Q: 5. Express the value of the given functions in the form x + iy: (a) (b) cos(3-6i). sinh (i).

A: (a) : We have to find the value of cos(x-iy) in the form x+iy Now since cos(x-iy) = cos(x)…

Q: Solve the homogeneous system of linear equations. (Use the parameter r.) X1 + 3x2 - X3 = 0 X₁ + 4x₂…

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Q: A linear programming model is represented by the following: Maximize: P = 6x + 4y subject to: 4x +…

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Q: Consider the poset ({2, 3, 4, 6, 8, 12, 15, 20, 24, 30), ). (a) Write down all the maximal…

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Q: ✓ 3.11 Find M+. 292 (a) M = { (c) M = { (e) M = { { (₁) |x=0} () (f) M={y|-x+3y+z=0} (g) M={y | x =…

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Q: Find the QR factorization of the matrix   Please show all work

A: The given problem is to find the qr factorization for the given matrix. Given matrix [0 1 1 ; 1 0 1…

Q: Let A P -14 2 -4 2 <-14 -2 -2 -17 Find an orthogonal matrix P with rational entries and a diagonal…

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Q: 5. Express the value of the given functions in the form x + iy: (a) (b) cos(3 - 6i). (₁). sin-¹…

A: 5(c) The given function is sin-12i. To Write: the above function in the form x+iy.

Q: A motion detector monitors the horizontal position of the end of a clock's pendulum, p(1), in…

A: A motion detector monitors the horizontal position of the end of the clock pendulum, p(t) , in…

Q: 1. If a, b are integers and 3a or 3 b, show that 3 (a² + b2²).

A: If a, b are integers

Q: Suppose a man invested $250 at the end of 1900 in each of three funds that tracked the averages of…

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Q: 2. Variable Separable. Find the complete solutions of the following D.E. a. x cos² ydx + tan y dy =…

A: Given xcos2ydx+tanydy=0.

Q: 2. What is the cyclic subgroup of Z generated by -1 under +?

A: Let, H = &lt;-1&gt; Now, for any positive integer k,       -k = (-1) + (-1) + (-1) + . . . . . . . .…

Q: (d) Show that 1 + √2 is a unit in R and use this to conclude that R has infinitely many units. (e)…

A: To show that 1+2 is a unit in R , we need to find its inverse in R. Let a+b2 be the inverse of 1+2…

Q: Question 4. Solve the following BVP for the heat equation (Just Fourier it) du = ²u+u; dru(t,0) =…

A: The given problem is find the solution for the boundary value problem for heat equation partial…

Q: 4.33 Does every subspace have a complement?

A: To Check: Every subspace have a complement.

Q: Use the Laplace transform to solve the given initial-value problem. y" + 4y = sin tu(t - 2π), y(0) =…

A: The given problem is to find the solution for the given initial value problem by using Laplace…

Q: 6) Which of the following series diverge? 1. Σ/sin2 71-0 TT II. 00 Στη e" III. (1) e" +1 n=1 (A) III…

A: ∑n=0∞sin2πn ∑n=1∞1n3 ∑n=1∞enen+1 We have to find which of the following series is divergent

Q: Arabic doing viced by an intelligence agent to record most conversations. The perabote surface…

A: Diameter 100 cm at the top and 30 cm deep at its center. To find the distance (a) of microphone…

Q: 3 (b) * ƒ (x) da 0 =

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Q: Question 1. Define o: R² → R³ by o(u, v) = (v + cos u, sin u, v), and let S be the image of o. Then…

A: Define σ: ℝ2→ℝ3 by σ(u, v) = (v+ cosu, sin u, v), and let S be the image of σ. Then S is a smooth…

Q: If f(x) = 3x5 - x + 3, then what is the remainder when f(x) is divided by x-2?

A: We have to find remainder when f(x) is divided by x-2 We will use result that when polynomial f(x)…

Q: Determine where the complex mapping w = f(z) is conformal. f(z) = ze=²-5 The mapping is conformal…

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