What is the value of w,(r, 0) at r= 1/2, 0 = 1/2 in Question 7? 1+ 2 et 4 4

Q: S S L' + s² + 4 ' s² + 9)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What are the endpoints of the latus rectum of (x + 1) = -8 (y + 4) ? O (-1 ± 4, –6) O (-6 ±4, –1) O…

A: We will find the end points of latus rectum as shown below

Q: 7. f cos xdx

A: The given integral is Cos4x

Q: Suppose X~N(197,6), and Z~N(0,1). Then x = 189, is equivalent to z = ______

A: Given Information: X~N(197,6) So, mean μ=197 Standard deviation σ=6 X = 189.   Z-score or…

Q: 1 Prove that 3 dx s VI VI

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Q: 7. (a) V.(V4) = V²¢ (b) (4× R) _ (2-n).A n(A.R)R %3D E,r =|R|

A: a)

Q: (Sinx) (xl (X+3}*

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Q: Suppose X~N(180,15), and Z~N(0,1). Then x = 185, is equivalent to z = ______. (Round your answer to…

A: Given that, x~N(180,15)  Mean = 180  standard deviation = 15  We know that z-score is given by,…

Q: 2 1-X ie 2=tny then prove that da

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Q: In(t – 8) 5 7t3 b. y= | 8t

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Q: B. Suppose that y1, Y2, ., YnidN (0, o2). We wish to find the most powerful test for Ho:02 = o3…

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Q: I was wondering how the number for pi/4is not sq root of 2 over two ike unit circle

A: topic - rationalisation Rationalisation is a process by which radicals in the denominator of a…

Q: , Giran me qiven family of ines for b=0, I, I 3, I6

A: Graph of  y = -2x y = -2x -1 y = -2x +1 y = -2x -3 y = -2x +3 y = -2x -6 y = -2x +6

Q: 3) Evaluate ex*+¹sin (√x) dx].

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Q: 2. Height travel by the rocket in first 6 seconds is given by s = (5 103) || In (T00-4) dt- 180…

A: I am attaching image so that you understand each and every step.

Q: 4cosec² 4.x dx Q. S 5

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Q: Arg (zz) = 0, whenever :+ 0

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Q: 714 a) J116z SE-3") da

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Q: 1 (y– 5)³ dy 9. y3

A: we use substitution method to solve this integration

Q: (12x) mAD = (2x + 5) C mBC = mDC = (17x-14) MDBC = Page OGina Wilson (All Things Algebra, LLO 202…

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Q: Consider the following difference equation: fk k = 0, 1, 2, · . . 1+ fk' fk+1 = with fo is…

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Q: 4. Compute , 3x – V1 – x² dx.

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Q: prove that l+2 +3+.. +h = n(ntl) for n=1,2g3 2 %3D

A: Given :               1 + 2 + 3 + ... + n = n(n+1)2 Let P(n) :               P(n) = 1 + 2 + 3 + ...…

Q: 1. Show that cosh 4x = 8cosh“x - 8cosh? x + 1 .

A: Given problem:- Show that cosh(4x) = 8cosh4x - 8cosh2x + 1

Q: 7 |sin? xdx 2 |sin? xdx 11 Ssin? xdx

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Q: Problem. Show that S {₁ 【 (s − 2)(s − 3)(s — 6) J L-1 -6)} = 1/2 ²² - e³t + e

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Q: 2. y = V4-x , x=0 and y=0 about the y- axis

A: Given that y=4-x2, x=0 and y=0 about the y-axis

Q: b) Consider the second-order DE. y" +25y = 0 rE (-00, 00) Show the zero’s of the solutions separate…

A: The given differential equation is y''+25y=0 If D=dydx then equation will be D2+25y=0 Now Auxilliary…

Q: %3D Evaluate the fo llowing intergrals nest_x5 dn.

A: Solving by definite integral we have

Q: Finel the Laplace Trans Form 21 Ans. F(s)= 2(1-e ") 11)

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Q: By Using New ton forward formula, eval nete the value of the der, voctive of the folow ing equation…

A: The given equation is         f(x)=-46+45.4x-13.8x2+1.71x3-0.0729x4 x=2(2)10 To evaluate the value…