Page 264, 4.4.12.* Let Y₁ < Y₂ < Y3 be the order statistics of a random sample of size n = 3 from the distribution having pdf f(x) = 3x², 0 < x < 1∞, zero, elsewhere. Show that Z₁ = Y₁/Y2, Zo= Y/Yo and Zo-Yo are mutually independent

Q: Simplify: 24 4[2 – (5 – 2)1 (Section 1.2, Example 7) – 6

A: 24÷[2-(5-2)]2-6

Q: is this fully simlified ?

A: Find the derivative of  f(x)=82x2+7

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A: This is a problem related to integration. Based on the general formula of integration we will solve…

Q: 42144 use Eukrs Helted twi steps te c apprex male value f (44)

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Q: Can. Sovle all of them

A: Yes, Sure post your questions we will solve all of your doubts.

Q: 3. {(-1, 1, 2), (2, –3, 1), (10, –14, 0)}

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Q: 4.7i+6.13i+5.6

A: Step 1:given 4.7i+6.13i+5.6 Step 2: Add 4.7i+6.13i You get 4.7i+6.13i=10.83i   Step 3:Now 10.83i +…

Q: COMPLEX ANALYSIS Please answer all questions Let g(z) = 22³. (a) Use the Cauchy-Riemann equations to…

A: Given: gz=2z3 We have to use the Cauchy Reimann equation to determine where g is differentiable.…

Q: Find the values of sec-1 1.5

A: sec-11.5

Q: 1 Evaluate dx 2 x*V1+x 2.

A: We have to evaluate , ∫1x2 1 + x2 dx

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Q: メ 3 メ

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Q: 52. -2

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Q: 6. Which expression is the simplest form of V12+ V48

A: Solution

Q: 60.91-2.856

A: We want to find the value  60.91-2.856=?

Q: 2430.20 2430.20 -

A: The given number 243 can be written as 35 and the number 0.20 can be written as 1/5:

Q: 1 5 5-8, what is 3x24dx = uvu24du? 4. Given that 0 1 11

A: Given:

Q: (7x + 2) + (3x - 1) (3x + 7) + (2x - 5) (6x2 + 10) + (-4x² - 5) (6x+ 3) + (-6x - 3) (3x + x - 1) +…

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Q: Simplify. | 14

A: We want to simplify i¹⁴. We know that value of i is equal to square root of -1.  So value of i² is…

Q: Simplify. [21 -28] 70 -35

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Q: olve 7" = V 49 -3x+1 (3) 25 %3D 125*+2

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Q: مال ق (3+یع

A: (d) Given that                                                I=∫(2x+3)2xdx

Q: carctan3/2 rsec x O do dx

A: This question is based on definite Integral.

Q: 17

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Q: (-37-631)÷(le lli)

A: topic - complex numbers

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A: on solving this we get

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Q: 4. 2.

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Q: •4 evĩ V

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