Find a general solution to the differential equation. 1 -e 4 1 "y" +6y=2 tan 6t-

Q: A company's total sales (in millions of dollars) t months from now are given by S(t) = 0.03³ +0.5t²…

A: I have provided my solution in the explanation box.Explanation:Step 1:Step 2: Step 3: Step 4:

Q: . Solve the following differential equations (D.E) 1. y' + y 2y = 0, y (0) = 1, y' (0) = 4

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Q: Consider the curve which is the graph of the equation x³ + y³ - 3xy = 0. Graph this curve using your…

A: Let f(x,y)=x3+y3−3xy=0Thendf=0∂f∂xdx+∂f∂ydy=0dydx=−∂f∂x∂f∂y

Q: 2. 3. Find the solution of the initial value problem dy = y +t² sint, y(z)=0. dt 4. Find the…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: (BC Topic) (Technology Permitted) If the first five terms of the series Ž(-1)"+¹. n = 1 used to…

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Q: Find U2, A; and i=1 A; if for every positive integer i, a) A = {i, i + 1, i + 2,...}. b) A; = {0,…

A: Firstly, we will solve for the union of all the sets and then for the intersection.Two facts we need…

Q: Find the following using the table below. X 1 2 3 4 f(x) 4 1 2 3 f'(x) 1 3 4 2 3 g(x) 1 4 2 g'(x) 1…

A: To find  for each of the given functions , we need to differentiate the function with respect to…

Q: Consider the following proposition: (pv (q^r)). Which propositions below are equivalent to the above…

A: A,CExplanation:Observe that  ¬(p∨(q∧¬r))≡¬p∧¬(q∧¬r)         by De Morgan's Law…

Q: Let o be the surface 4x + 5y +9z= 7 in the first octant, oriented upwards. Let C be the oriented…

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Q: Use the given LU factorization to find all solutions to Ax = b 0] A = [216] [773] b -2 3 X =

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Q: Solve the initial value problem. y'+y=e5t, y(0) = -1 y=[

A: The given equation is ordinary differential equation. Firstly we find complementary function and…

Q: Suppose the relationship between Y and X is given by: Y = 25 - 3X + error  By how much does the…

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Q: 11. dy dt = te y, y(0) = 1. dy 12. = ey-t, y(0) = 2. dt

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Q: Consider the following LP model: max 10x1 + 12x2 + 12x3 s.t. + 2x2 + X2 2x1 + 2x2 x1 2x1 + 2x3 + 2x3…

A: Given linear programming problem is max s.t.We have to solve the problem.

Q: How would I calculate this on excel spread sheets I have been stuck with no success for a while…

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Q: 7. Complete the following truth tables using the given values of p, q and r. p q r FT F Pr p q r P…

A: See the explanation. If you have any doubt ask me I will give you the answer.Explanation:Step 1:…

Q: Find the LU factorization of 8. That is, write A = LU where L is a lower triangular matrix with ones…

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Q: Problem #7: Let f(x)=, 0.5 ≤ x ≤ 1.5. Suppose that we approximate f(x) by the 3rd degree Taylor…

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Q: Consider the population model dy dt = 3y - y² - 2. This is a harvesting equation with a harvesting…

A: 9)Given:The given population model is .Here, the harvesting rate is 4.To find: the steady states and…

Q: 8. Consider the population model dy dt = 3y - y² - 2. This is a harvesting equation with a…

A: The given population model is .Here the harvesting rate is .To find the steady states and their…

Q: Suppose Cov(X,Y) = 419. What is Cov(19X, 71Y)?

A: The objective of this question is to find the covariance of the two variables 19X and 71Y given the…

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Q: How did 1 / sqrt(2+c^2) and 1/sqrt(11) cancel out so the equation was *

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Q: A professor wants to understand the relationship between students' class attendance (X;) and the…

A: The OLS regression is :A fall in attendance by 2 days on the test scores.The standard error of the…

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A: The Runge-Kutta method is a numerical technique used to solve ordinary differential equations (ODEs)…

Q: Find the LU factorization of and use it to solve the system A = LU = || 3 4-[-157] 3 -15 A 72]-[2] =…

A: (.) The given matrix is,              and system is,          (.) LU factorisation: In LU…

Q: Obtain the differential equations associated with the following general sets of curves. If there are…

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Q: 6. Given the following relations on the set of all integers where (z,y) = R if and only if the…

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Q: For the listed functions A) through D), do the following: • Plot the function f(x) and its magnitude…

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Q: 7. Complete the following truth tables using the given values of p, q and r. p q r FT F Pr p q r P…

A: Here are the completed truth tables for the given statements:1.pqrp → rq → r(p → r) V (q →…

Q: 5.₁ Given (1-1)y+ty'- y =0. Show {t, e'} forms a fundamental set of solutions to the above…

A: Given homogeneous differential equation is(1−t)y″+ty′−y=0Let y1=tThen y1′=1 , y1″=0Therefore…

Q: Find the local maximum and minimum values of f(x) = x^5 -5x +3 using the second derivative test when…

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Q: Given the following matrix: 11 8 -12 0 0 -8 -15 0 0 -17 0 0 0 0 = 5 -9 2 12 0 -2 14 0 0 -5 Suppose…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 4) Let a < b be real numbers. Prove that the half open/half closed interval (a, b) is both an Fo and…

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Q: 4. Find the solution of the initial value problem y"+y'-2y = 0, y(0) = 0, y'(0)=1.

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Q: ind the approximations TM and S, for n = 6 and 12. Then compute the corresponding errors E₁, E, and…

A: We have to given:  Thus, the exact integral value is 52.Let us assume .

Q: Solve the following initial value problems. dy 11. = te¯, y(0) = 1. dt 12. dy dt ey-t, y(0) = 2.

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Q: A city currently has 122 streetlights. As part of a urban renewal program, the city council has…

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Q: Determine all polynomials p(x) such that (x - 1)p(x +1)= (x+2) p(x) and p(2) = 12.

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Q: 2) If CCR is countable then prove that m*(C) = 0 using the definition of m*.

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Q: 5. dy dt = (sin t)y + 2 sin t.

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Q: Question 2. Use induction to show that for any natural n ≥ 3, one can be written as a sum of n 1…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT According to the following taylor series | Sinx=x Calculate the…

A: For the given problem,f(x)=sin(x)and maclaurin expansion of sinx is also sin(0.5)=0.00872but sin(…

Q: 2y" − 7y' + 6y = (2x + 1)e²¤

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Obtain the general solution of the differential equation (e³ +…

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Q: Suppose Cov(X,Y) = 821. What is Cov(6X, 4.7Y)?

A: The objective of this question is to find the covariance of the two variables 6X and 4.7Y given the…