1. Locate the absolute extrema of the function f (x)= sin x-cosx on the closed interval [0,7]. Write answers as ordered pairs

Q: The following table gives the map coordinates and the shipping loads for a set of cities that we…

A: The table below for the map coordinates and shipping loads for a set of cities is :CityMap…

Q: Please show all steps and explain!

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the…

A: The given equations are x1'=6x1+6x2+5x3, x2'=-2x1-2x2-6x3 and x3'=2x1+2x2+6x3. The characteristic…

Q: A nonhomogeneous differential equation, a complementary solution ye, and a particular solution y,…

A: General solution = Complementary function +Particular solution

Q: 5. Use spherical coordinates to evaluate /16--2² Not √16¬x² / √x² +yª √x² + y² + z² dz dy dr.

A: The given problem is to evaluate the given triple integral by converting the Cartesian coordinates…

Q: Show directly that the given functions are linearly dependent on the real line. That is, find a…

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Q: A third-order homogeneous linear equation and three linearly independent solutions are given below.…

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Q: Find a function y = f(x) satisfying the given differential equation and the prescribed initial…

A: First we solve the given differential equation involving constant and then using the given initial…

Q: Find the position function x(t) of a moving particle with the given acceleration a(t), initial…

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Q: Write a differential equation that is a mathematical model of the situation described. The time rate…

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Q: Use the Wronskian to determine if the given functions are linearly independent on the indicated…

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Q: A function y= g(x) is described below by some geometric property of its graph. Write a differential…

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Q: A third-order homogeneous linear equation and three linearly independent solutions are given below.…

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Q: 5. There exists no integers j, k for which 18j + 6k = 1.

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Q: 8. The graph of the function f(x) = Vx + 4 is shown below. f(x) +++ The domain of the function is A…

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Q: Draw the graph represented by the adjacency matrix. 0 2 0 1 200 1 1 0 0 0 00 0 0 2 1. 1 0. 0.

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Q: Show directly that the given functions are linearly dependent on the real line. That is, find a…

A: Use the given information.

Q: Show clear steps please.

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Q: 2. (Arithmetic Mean-Geometric Mean Inequality) Let n E N and {r;}"-1 be nonnegative numbers, prove…

A: Use mathematical induction and check if the statement is true for n=1. The left hand side of the…

Q: Question 2. Consider the function f(r, y, 2) = rye-(=+v*+="), Find all points (r, y, 2) such that…

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Q: 5. §11.5. Q31. Use a chain rule to find the value of dw dxs=1/4 if wr² - rtan 0, r = √s, 0 = πs.

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Q: Write the expression as the sum or difference of logarithms. 3 25 log5 (a²+b)2

A: Here I am attaching image so that you understand each and every step.

Q: nd an Eulerian walk in Figure 3. V5 V3 V6 V2 V1 Figure 3: Graph for Problem 3

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Q: River spends $225 a year on lottery tickets. After 15 years, their total winnings are $1200. Suppose…

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Q: From the graph in Figure 2 state the degree of each vertex. V3 V4 Figure 2: Graph for Problem 2

A: We will find out the required value.

Q: log(5x) + log(x – 1) = 2

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Q: Find two positive numbers x and y such thatx + 2y 50 and (x + 1)(y+ 2) is a maximum.

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Q: 39. An open top rectangular box with a square bottom has a volume of 120 cubic meters. Its bottom…

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Q: 3 Show that the function f(x) = Vx – 5 is one to one function.

A: The given function is: fx=x-53