Given y1 = Vi a solution of 4t²y" +y= 0. Find a second independent solution.

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A: a) The graph of fx=ex2 is given on the interval -1≤x≤1, that is, -1, 1. If the interval is…

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Q: Prove that ℝ with lower limit topology is Hausdorff

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A: Given- The position of a weight attached to a spring is st = -3cos4πt inches after t sec.  To find-…

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Q: 4. This question asks you to find an integral using Riemann sums. Recall from lectures, that a…

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Q: ective 3 – Medians and altitudes 1. Name 3 altitudes in the picture below. 2. Name 3 medians in the…

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Q: Find the residue of the function: f(z)=- sin(z)

A: Resiue of the function

Q: At what point do the curves ri(t) = (t, 4 - t, 63 + t) and r2(s) = (9 - s, s - 5, s?) intersect? (x,…

A: Introduction: When two vector-valued functions are given, their point of intersection can be…

Q: (a) Set up, but do not evaluate, a double integral for the area of the surface S with parametric…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: V Let be the set of all functions of the form f(x) = ae* +bVx , a,b € R This set is a subset of the…

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Q: Solve the following Initial Value Problemsing Laplace transform: y" – 16y' + 15y = e 10t ; y (0) =…

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Q: Use induction to prove that for every n E N, we have 5" = 1+ 4n (mod 8)

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Q: Let n = pq where p and q are two distinct primes and consider Zn. Further, let [a] E Zn be an…

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Q: Show the limit does not exist by choosing two paths to the origin whose limits L1 and L2 are not the…

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Q: Show that the mixed partial derivatives Fxyy, Fyxy, and Fyyx  of F(x,y,z) = 2z / (x+y) are/aren’t…

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Q: 8. Define a relation R on Z as follows: For all integers m and n, m R n → 2| (m – n). a) True or…

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Q: In(2n) 2n Determine the convergence of the sequence an If it converges, find lim am Paragraph BIU A…

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Q: 1 Let B be the surface with equation x = -1+ - y. 2 (a) Provide a hand-drawn sketch of B. Label the…

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Q: a. Graph the function with a local maximum at (-1, 2), a local minimum at (1, -2), an absolute…

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. Start from the…

Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

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Q: Solve the DE using Linear First Oder Method: y +yx = x - 3. if y(0) = 2 %3D

A: Use the given method to solve.

Q: The length of the major axis of an ellipse with foci at (-1, 2) and (3, 2) that passes through the…

A: Here we use basic defnition of major axis

Q: the given exponential function to the form indicated. Round all coefficients to four significant…

A: Given,                     f(t)=17(0.915)t                    ...(1)   and      f(t)=Q0e-kt…

Q: x1 x2 x3 x4 x5 x6 (Note that this is a graph of f', not a graph of f.) At which of the marked values…

A: Solution

Q: Solve the following Initial Value Problem using Laplace transform: y" – 13y' + 12y= e¯ -10t ;y (0) =…

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Q: The rectangle below has an area of 18x square meters and a length of 2x2 meters. What is the width…

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Q: Answer the following system of linear equations though: a) Inverse of a Matrix (using Determinants)…

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Q: Please solve questions 8 and 9. What to find in questions 8 and 9 is written below  Find the…

A: To find the surface area of the given figures.

Q: Determine whether the series tan converges.

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Q: company estimates that the weekly sales q of its product is related to the product's price p by the…

A: Given the function of company sales, q and product price p is q=17775p94. We have to find the…

Q: Sketch the graphs of the functions, f(x) = 2* and g(x) = x- 1 on the axes below. Then, on the same…

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Q: Let p and q be distinct prime numbers such that p<q. Then lim Vp" +q" will be given by n- 00 OA P…

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Q: In Super Mario Bros 2 there are a total of 20 levels. Ninji and Birdo are two of the enemies that…

A: Use the following formulae, to obtain the solution. PA=nAnSPA∪B=PA+PB-PA∩BPA|B=PA∩BPB Where A and B…

Q: 4. Graph the function using transformations: y = -2vx + 3 +6 10 Key Points graphed: (x,y) → a. 4 b.…

A: (a) It is given that the function y=-2x+3+6. Give arbitrary value of x and find the value of y…

Q: 1) Arrange the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 in the circles below so that the sum of the numbers…

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Q: Given the simplex matrix below that is complete. Identify the maximum value of f and the set of…

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Q: QUESTION 2 Michelangelo buys a lot of pizza for himself and his three brothers, so he has procured a…

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Q: Repiy aL LTe DOtOM. Please answer the question below: Make sure to show all work! Find the area of…

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Q: (vii) =-y = -y

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Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window.…

A: From given data we will find center and radius of circle to get its equation  Also for parabola we…

Q: Use the Upper and Lower Bound Theorem to find the least positive integer and the greatest nee…

A: Upper Bound Theorem for the Real Zeroes of a Polynomial: The theorem says that if you divide a…

Q: Explain how the golden ratio is related to Fibonacci sequence.

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Q: (a) Determine the center and angle of rotation for f(z) = z + (4 – 2i). (h)

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Q: A jet flies 250 km from Ottawa to Toronto at a rate of v + 50. On the return flight, the plane…

A: To calculate the difference in the flight times of the initial and return flights.

Q: Find T(t) and N(t) at the given point. r(t) = (t – 5)i+ tj; t = 5 T(5) = N(5) =

A: Solution :-

Q: multiplicity of each eigenvalue of A. Find a basis for the eigenspace of the eigenvalue 1 =7 . Do…

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Q: Evaluate the following limit using two different methods. Explain your working carefully for each…

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Q: Graph the vector function f(t) = (t3 + 1)ï + tj: %3D

A: We know that  To draw a graph of vector function we need to plot the different points on graph for…

Q: Consider the recursive sequence a n+1 a+5) with a,=3. If 1<a_<5 then O A. The sequence {a} is…

A: Introduction: The monotone convergence theorem is any of a variety of similar theorems establishing…