Using the change of base formula loga b log, b log, a , evaluate log-3152 correct to three decimal places.

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Q: Chromatic number-graph theory An airline offers return flights all departing from the same airport…

A: Given an airline offers return flights all departing from the same airport according to the…

Q: A company had net sales of ​$318,000. The beginning inventory at retail was ​$124,000 and the ending…

A: The net sales of a company:  $318000.Beginning inventory at retail: $124,000Ending inventory:…

Q: BC:2.3 Express the following sampled signals using a sum of weighted impulses (delta functions). If…

A: Given that:The sampled weights are:a) b) c) d) To express: The sampled weights in polar form with…

Q: 5. Let S = {r € Q[√2 ≥ r ≥ 0}. Show that sup S = √2. (hint: of Q) denseness use

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Q: How can I evaluate the improper integral of these problems? 1. y = 1/2sqrt(3-x), x = 3, coordinate…

A: To evaluate the improper integrals for these problems, you need to calculate definite integrals over…

Q: 1. Let & be a connected category and hi Z→X and f Y. X= ง and g are Prove that if f ouch that f‡g,…

A: Given that:Let  be a connected category and  such that .To prove: If f and g are  constant morphisms…

Q: Sketch the direction field for the following equation dy/dt = 30-2y Based on your sketch, find the…

A: We shall use MATLAB to plot the direct field. We are using MATLAB so that the direction field is…

Q: (2). Find the Disc of convergence for the following: (4+i)(z-3) (a). Στο (44+1)==4))". 6

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Q: List the first twenty counting numbers in the indicated base below. sixteen (Only digits 0, 1, 2,…

A: The objective is to list the first twenty counting numbers in base sixteen.

Q: Let G be a group. Then a mapping which associates to each element a € G, its inverse a-¹ is an…

A: Given :Let G be a group and a is element of G .To Prove : we have prove that a mapping which…

Q: A new liquid detergent bottle advertises on the label "Now 35% more!" If this new, bigger bottle…

A: We use simple airthematic to solve the above problem.

Q: Find a particular solution yp of the following equation. Primes denote the derivatives with respect…

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Q: consider the ellipse with foci at A(-12,-5) and B(12,5) and known point at (-2.5,6). If the x'-axis…

A: To find the equation for the ellipse in the xy-plane after the proper rotation, follow these…

Q: Solve Uxx + Uyy = f(x, y), ux (0, y) = F(y), u(x,0) = f(x), 0<x<a, u(a, y) = G(y) u(x, b) = g(x) 0 <…

A: To solve the differential equation: such that with initial conditions:

Q: Suppose E₁, E₂,.. Use induction to prove En are events in 2. PLE, NE₂ n... nen) = P(E₁) + ... + 2…

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Q: (1) Given two sets S₁ and S₂, compute their union. OL= {U= : S₁, S₂, and S3 are sets and S3 is the…

A: we want to know that the definition of union of two setunion of two set means the set containing all…

Q: (2). Find the Disc of convergence for the following: (a). (b). -05-2(2-2+i)³n+1.

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Q: 2- Change the integral √√1+3x²+3y² dA to polar integral where D is the lower half of x²+y²=9. -2π a)…

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Q: The table below shows the values of predicates Q, R, and S for every possible input. The domain for…

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Q: (2) Given a database D and a query Q, compute the results of Q executed against D. O L = {: R is the…

A: Please find the answer in the next step.

Q: ( 7 ) to ( 2₁ ) ² -Y for M-1 makes sense geometrically. ? Find the inverse matrix of M and explain…

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Q: Question 3 Consider this Reduced-Row Echelon Form (RREF) of the augmented matrix of a system of…

A: In this question we find the value of coefficients using augmented matrix.

Q: To obtain more accurate information about the equilibrium temperatures at interior points of the…

A: As per the question we are given the nodal temperature distribution on a triangular region, and we…

Q: Write the converse, inverse, and contrapositive. Indicate as best as you can which among the…

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Q: min s. t. f(x) = x₁ + x2 x+x≤4 |x₁| ≥ 1

A: Given that:To find:Graph the feasible region S.Using the graph find all local minimizers for the…

Q: Dif(a1, a2): = d dt etaz a₂ +t) (etc t=a1 f(x, y) = ey+x, = (etª²a² + 1)|t=a₁ = eª¹ª²a² + 1.

A: Given a multivariate function:  The aim is to find .Partial Derivative: Derivate of  with respect to…

Q: how to get the contour plot of a radial function from the h(r) graph?

A: The given graph represents height h(r)=h(x,y) of the surface from the xy-plane.From the graph, we…

Q: K Find the first five terms in sequences with the following nth terms. a. 8n-1 b. 4n-2 c. 6n+1 d.…

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Q: Find the inverse of the below matrix A and verify your answer by multiplying A and its inverse.…

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Q: for the IVP: y'=t-y^2, y(0)=1. Use 4th order Runge Kutta with step size h=1 to approximate y(1)

A: We have to find approximate value of .

Q: What is the shortest distance between the spherical surfaces (x − 3)² + (y + 4)² + (z − 5)² = 6 and…

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Q: Consider the vectors u = 6i and v=7j. Sketch the vectors, find the angle between the vectors, and…

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Q: 2. Use the method of cylindrical shells to find the volume generated by rotating the region bounded…

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Q: . Consider the force vector F = x²a,-xza, -y²a,. Calculate the work done in moving an object from…

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Q: Solve the following system of linear equations: x1+x2-x3 = -1 4 -1 -x1+2x2-8x3 3x1+4x2-6x3 = = If…

A: The given system of linear equations,The aim is to find the solution to the given system.

Q: Using whichever method you like, test the following series for convergence or divergence. Note that…

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Q: 6. The area of a trapezoid (see Machinery's Handbook) is found by the formula A = [(a + b )h] / 2.…

A: We are solving both questions.

Q: Hello there, Can you help me with problems? Thank you! Find a bijective function from [10, 22] to…

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Q: The mean age of four pupils, on the date of a TMC Regional Final they had been entered for, was 14…

A: Let A represent the number of years of the original mean age.Let B represent the number of months of…

Q: Climate Control, Inc., makes expedition-quality rain gear for outdoor enthusiasts. Management…

A: Ending inventory = Begining inventory+Normal Production+Overtime-DemandFormula:

Q: Let X = {n EN: 0≤ n ≤ 999} be the set of all numbers with three or fewer digits. Define the function…

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Q: min I s. t. f(x) = x₁ + x₂ x² + x² ≤4 |T₁|≥1

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Q: Let G be a finite abelian group. Then there exists a finite sequence of positive integers (pa¹,…

A: Given : Let G be a finite abelian group.To Prove :Then there exists a finite sequence of positive…

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A: Given three processes of producing gasoline and heating oil using crude A and crude B.total…

Q: Consider an experiment with n possible states. At each step, individuals transition from state i to…

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Q: a. If x ER and x-2 ≤ 3, then x < 2 or x ≥ 3. b. For every non-zero real number x, there exists a…

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Q: 2x-y=-2 with coordinates (-1,6) what is the shortest distance orº d this the what is the shortest…

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Q: 2 ^- [_-1³_3], b=[¯3] A =

A: The matrices is linear combination of column of matrix  i.e.,Where,  are scalars and  are columns…

Q: Find and sketch the domain of the following functions (a) f(x, y) = cosh-¹ (3- x² - y²) (b) f(x, y)…

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