V- Assuming Cov(X, u) = 0 allows us to equate Ex û to zero. True or False? Explain.

Q: Assuming Cov(X, u) = 0 allows us to equate Exû to zero. True or False? Explain.

A: Solution

Q: Use the method of substitution to evaluate 2x sin x? + c 2 sin x? + c sin x? + c 2 – sin x² + c

A: As we know that the common integration of : ∫cosudu=sinu ∫a·fxdx=a·∫fxdx

Q: Exercise 2) Find D constant in the following O(0) function O= D Sin? 0.

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Q: Fill in the blanks to complete the verification. If a squared term is needed, type it as (sin x) sq.…

A: Solution of question is written in below steps.

Q: Evaluate: Jcos 2xdx cos2x, cos³2x + C 6 A + 2 cos 2x + C 6 cos2x B sin 2x + C 6 sin2x 2 sin2x sin32x…

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Q: af af If f(s, t) = sin s cos 21, find and as at

A: fs, t=sins cos2t Partially differentiating with respect to s, we get ∂f∂s=cos2t·coss

Q: trig substitution

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Q: Calculate for w-z sin(xy+).

A: The given function is w=zsinxy4+9z

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), 8) v = (sin(0),…

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Q: e) fsin' xdx fcos"a 4 3x e

A: Given, (e) ∫sin2x dx   (f) ∫cos2x -4e3xdx   We have to integrate .

Q: Which of these will represent u in the function * y= sin -1 Vx2 + 3x + 4? Sin-1 а. du V1-u?

A: Using definition of composite function.

Q: x+y then x +y- ôy If u= cos %3D +.

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Q: 5) Find the following of the function f(x,y) =xy+cos y+ysin x

A: To find: The partial derivatives ∂2f∂x2,∂2f∂y2,∂2f∂x∂y. Given: The function is fx,y=x2y+cosy+ysinx.…

Q: a sin(ry) dA, where R [0, 2] x (0, ] R

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Q: Let y = ln u and u = cos x what is the value of 9 if x = 4 dx

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Q: How does the following differential equation y dr + x dy = 0 satisfy the criterion for an exact…

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Q: ery sinx If f(x, y, z) = 23 then af dy Select one: A. None of these answers ye"Y sinx В. 23 ye"Y…

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Q: Evaluate – 3j + 4a – 6 + f' when j = 9, a = – 7, and f = 7. - Question Help: O Message instructor

A: We have to find out

Q: Evaluate (2 csc x cot x + 4sec?x)dx. А. -2 csc x + 4 tan x + C 2 csc x + 4 tan x + C C. 2 csc x – 4…

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Q: Əw ər Find when r = 5 and s= -5 if w= (x+y+z)²₁ x=r-s, y = cos (r+s), z = sin (r + s). Əw ər = |r =…

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Q: Q if asinx Prove that a + bcos X y' = (a+ bcosx)? a cos+ b

A: Differentiate wrt x In problem, proof equation is wrong I have solved properly

Q: Evakate: fcos 2xdx cos2x, cos 2x +C A sin2x sin 2x B 6 +C sin2x, sin 2x +C 6 2 cos2x cos 2x +C D 2

A: To evaluate: I=∫cos32x dx

Q: 2 dt t² +2t +3 18. Evaluate 8 dz z² +8z+ 25 20. Evaluate o

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Q: Cos X 2)

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Q: + Sin (2x) de

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