When the median is computed for a sample, all values in the data set are * .used True O False O

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Q: 10. Solve the initial value problem dy dy +8 -9y 0 y(1) = 1, y'(1) = 0. %3D dt2 dt

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Q: Hin Find Fourier trins form of fu) =/! Ixa ! sinp Then find: O :oS Ein Pa Cos px_dp , ☺ dp

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Q: Consider the following sequence defined recursively: a1 %3D 5, аz 3D 8, аm+1 —D 2а, — ап-: 2an - an-

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Q: 2. Consider the vector field F(r, y) = [x, y). (a) Show that F is path independent by showing that F...

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Q: 23: Find two Eigenvalue neir corresponding igenvectors for the fol

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A: x = number of CDs   cost = (50 + 5x)   revenue = (15x)

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Q: 5 What is the value of (). A B quoe to apn 3 C 343 2.5 1 D 343 M/7 H/7

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Q: \ Find e* sin(x) dx

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Q: . Consider the function (x² – 2y)² xª + y? 4, (x, y) = (0,0) (x, y) + (0, 0) f(x, y) = a. Determine ...

A: We can solve this by using the given information

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Q: 1. Factor fully. a) 60х - 10х — 150 b) 12km – 72k – 5m + 30 16у' - 1 d) 49 — у' + х* 2 - 14х

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Q: 4. ( , Give a case in which |(x, y) x||yll. 5. Let X e PQ. Show that if X (1-t)P+Q, where t> 1, then...

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Q: 1 xS dx i+x²+1) dx 3 x(x'+2x+ 1) dx

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Q: QI Find for dx dt dy 4e - 5x'e dx dy 3re + 5x'e" dx O 2, dy - 2e + 4xe dx dy 2xe dx dy dy 5x'er dx 6...

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Q: Q6) Find y' for the following: 1. += 1 y 2 2. хз — уз — у %3D1 - уз — у %3D 1

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Q: 3. Find the general solution to the second order nonhomogeneous linear equa- tion y" +y/ - 2y = 6et.

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Q: Find the solution of the D.E. below: 2(2x + y)dx – xydy = 0

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Q: 6. Prove that 3" < n! whenever n is a positive integer greater than 6.

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