Find the rectangular equation of the curve given by the parametric equations below. Then graph the curve and show its orientation. x=5 cost, y=-5 sint, 0sI≤2a Rectangular equation: + 14 X 0 V کور x X 3 3

Q: Use the table, which gives the total amounts of sales (in millions of dollars) for aerobic,…

A: The given data is as follows, Year Aerobic Basketball Cross-Training Walking 2005 261 878 1411…

Q: Use the age transition matrix L and age distribution vector x₁ to find the age distribution vectors…

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Q: The nth term of an arithmetic sequence is given. an=1 - (n-1) (a) Find the first five terms of the…

A: The nth term of an arithmetic sequence is: an=72-n-1. To Do:(a) Find the first five terms of the…

Q: Solve the IBVP below and express your final answer without using series notation. Ut = Uxx + cos(2t)…

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Q: Find the values of the coefficients a, b and c so that the conditions hold for the function a = b ||…

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Q: Differentiate tan (xt) with respect to x, assuming that t is implicitly a function of x.

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Q: Continue from the previous question: Two major automobile manufacturers have produced compact cars…

A: Consider the given dataset: Manufacturer A Manufacturer B 32 28 27 22 26 27 26 24 25 24…

Q: Evaluate the following integral where S is the closed surface bounded by the graphs of x = 4, z = 4…

A: We have to evaluate the given integral where S is the closed surface bounded by the graphs of x = 4,…

Q: Use the graphical method to find the optimumn strategy for players A and B and the value of the game…

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Q: - (2x – 1)(4x² + 2x + 1)

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Q: A tree contains some number of leaves (degree 1 vertices) and four non-leaf vertices. The degrees of…

A: Given, tree contains some number of leaves (degree 1 vertices) and four non - leaf vertices. the…

Q: M (x₁+x2) dV2(x), where M is the 2-manifold in R4 given parametrically as shown. x = (U₁+U₂,4₁…

A: The solution is given by

Q: Solve the linear programming problem by the simplex method. Maximize P = x + 4y - 2z subject to 3x +…

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Q: Find the future value of a simple interest loan where $1,950 is borrowed at a rate of 7.9% from…

A: The loan amount is P=$1950 rate of interest r=7.9% Time = Oct 27 - oct 7 = 20 days now we can use…

Q: In order to estimate the difference between the average mees per gallon of two different mod Sample…

A: The datasets for Model A and Model B are given as-Model AModel BSample sizeSample meanSample…

Q: A genetic experiment with peas resulted in one sample of offspring that consisted of 417 green peas…

A: sample size(n)=417 x=152 confidence level=95% sample proportion(p^)=xn=152417≅0.365

Q: 11) Newton-Coates, n = 4 Derive the Newton-Coates integration formula for 5 nodes.

A: The Newton-Cotes integration formula is a numerical method used to approximate definite integrals by…

Q: Determine if the following functions grow faster, slower, or at the same rate as the function 5x² as…

A: Note:Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Write x as the sum of two vectors, one in Span (U₁1, U2, U3) and one in Span (u4). Assume that…

A: Here we have to write x as sum of span {u1, u2, u3 } and span {u4}.

Q: Use the simplex method to solve the linear programming problem. z = 7x₁ +4x₂ + x3 5x₁ +5x2 + x3 ≤ 15…

A: Let us solve the given problem by simplex method.

Q: Rotate the axes to eliminate the xy-term in the equation. Then write the equation in standard form.…

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Q: The average score of 100 students taking a statistics final was 75 with a standard deviation of 7.…

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Q: The null and alternate hypotheses are: He: Ha so H1 Hd>0 The following sample information shows the…

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Q: Consider the sequence with the following starting values a₁=2 ³₂=7 a3-10 4-10 a=6 a=3 a,=2 a. Graph…

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Q: Determine whether the function given by the table is linear, exponential, or neither. If the…

A: If there exists the same proportional change between the independent variables, then the variables…

Q: Solve the following problems in the inverse of the matrix involved. (a) An automobile factory…

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Q: Use a truth table to determine whether the statement below is a tautology, a self-contradiction, or…

A: We have, ~(~ q ^ p) <—> (q^~p)

Q: The 1990 census reported that 40% of the households in Middletown were homeowners and the remainder…

A: Given,  The 1990 census reported that 40% of the households in Middletown were homeowners and the…

Q: By cutting away an x-by-x square from each corner of a rectangular piece of cardboard and folding up…

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Q: Solve the initial value problem below using the method of Laplace transforms. y" + 4y = 201² - 20t+…

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Q: Two functions g and fare defined in the figure below.

A: Note that from the given information g(8) = 2 , but f is not defined at 2. i.e f(2) is undefined So…

Q: Suppose that (a)=1 is a sequence and n Σa converges to 12. Let sn= Σak. n=1 k = 1 Which of the…

A: Sequence  converges to 12 and Let To Find:Which of the following option is correct:a) b) Divergence…

Q: A college student eamed $6,700 during summer vacation working as a water in a popular restaurant.…

A: Interest earned = $547 x $ amount is invested for 10% interest rate y $ amount is invested for 7%…

Q: Set up the initial tableau for the following problem: Maximize z= 3x1 + 6x2 + 9x3 + 2x4, subject to…

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Q: Write a description of the shaded region using the symbols A, B, C, u, N, -, and ' as needed. (A…

A: (A (top left) Shaded) (C (bottom middle) shaded) (B (top right) Unshaded) (background unshaded)

Q: Determine whether the following individual events are overlapping or non-overlapping. Then find the…

A: Here Given  Evens are  (I) Drawing a card of red four or  Drawing a card of red ten

Q: Let B = {b₁,b₂} and C = {C₁,C₂} be bases for R². Find the change-of-coordinates matrix from B to C…

A: B = < b1 , b2 >  C = < c1 , c2 >  We see,         b1 = (-1, 1)T = 3(1, 3)T - 4(1, 2)T…

Q: So Use the transition matrix P shown to find S₁ and S₂ for the initial-state matrix S₁ = [0.7 0.3].…

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Q: You are asked to find the value of a certain number associated with the logistic formula shown…

A: Logistic formula is N= K/(1+be-rt)

Q: Find a matrix P such that PTAP orthogonally diagonalizes A. Verify that PTAP gives the proper…

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Q: You are a newsvendor selling the San Pedro Times every morning. Before you get to work, you go to…

A: Cost price of paper=$0.35 per copySelling price of paper=$1.35 per copyDemand meanμ=305S.Dσ=61

Q: An accessories company finds that the cost in dollars, of producing x belts is given by…

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Q: Use the given information to fill in the number of elements for each region in the Venn diagram. n(A…

A: nA∪B=46 nA∩B=6 nA=17 nA'∪B'=75