14. The variates x and y are normally correlated with coefficient r and u, v are defined by u =x cos a + y sin a; v = y cos o – x sin o. Show that u, v will be uncorrelated if 2r 0,0y tan 20 = |

Q: Step 3 Substituting m 0 and (x, y) = (1, e) into y yo = m(x-xo) and solving for y, we can conclude…

A: Given that m=0 and (x0 , y0)=(1 , e)We substitute, m=0, x0=1 and y0=e into y-y0=m(x-x0)

Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

A:

Q: F(x) = 1+e siny x %3D -- = -15 e sin4X- se"co54X fca) = fco) = -8 R fくり) = fci-2) = 4.2398 > KMS %3D…

A:

Q: The Anctien fay 'and i not depned frather veher stake the demanin of sec d h....... the invens…

A: Given that f(x) = sec (x) ; 0<=x<pi/2. we have to find the domain of f-1(x). and we have to…

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A: We have to find the average value of the given function. This problem can be solved by using formula…

Q: .3 Find the derivative of the function f(s)= 12s³+ 5secs. a. f'(s)=36s² + 5secs · tans b. f'(s)= 3s²…

A: We have to find derivative

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A:

Q: Los 3x dx

A: The solution is as shown below

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A:

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A: Given , f (x) = sin2x - cos x  (.) Definition :  Then critical point of a…

Q: Q1:Find dx for the following a) y = tan-(sinx) + In (sec2x) + 8tan5x + etm

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Differentiate the following function to review unit two. a. b. C. d. 11 11 y = ²+1 4 - 3t² + 2 F(x)…

A: y=t2+1t4−3t2+2Take derivative.y′=ddt(t2+1t4−3t2+2)Use the quotient rule for the derivative:…

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A: topic - mean value theorem

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A: The solution is given below in the next step:

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A: At any point (x,y) on a particular curve, the tangent line has a slope equalto 1+sinx-π2, the curve…

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A: Given : fx,y = ex+y+7

Q: State TWO (2) dissimilarities between Green’s and Stokes’ theorems.

A:

Q: 7. Differentiate the following function to review unit two. a. b. C. y' = y' = y = t² + 1 4 - 3t² +…

A: a) y=(t2 + 1 )/(t4-3t2 +2)b)F(y)=(1/y2 - 7/y4 )(y+ 5y3)c)y=sec(theta)tan(theta)According to Bartley…

Q: S sin'a/cosadr =? Zcos"a – cosz) va O a. COST 3 cosT + C O b. + C cos I 3. O C. cosx O d. 2r +2 + C…

A: you are going to use these  formulae:

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A:

Q: Let {Xi} be i.i.d with the pdf f(x; θ) =c/x^(θ+1)  x > 1, where θ > 0 is the unknown parameter.…

A: Given information: Let X1, X2, X3,…, Xn be independently and identically distributed random…

Q: Differentiate y = tana - 6 sec x 1. y' = cos x + 6 sin r 2. y' 3. y' = 6 cos x - sin æ 4. y = cos x…

A:

Q: 6. Find y`and y`for y=sin(x + y). 7. Find y` for sin x+ sin y = 1. 8. Find y` for x cos y = sin(x…

A: As per Bartleby guidelines, we are supposed to solve only first question when multiple questions are…