Practice: 1. As x-,y-- 2. As x,y 3. As x 3.y As x-3",y 4. 5. As x1,y 6. As x-1,y- 7. As x→-x,y →_- 1ty 8. As x,y - 9. As x0,y 10. As x 0,y -2 -1 11. As x 1,y 12. As x 1,y

Q: Suppose that y= 2(1- e *). Compute y' and show that y' =2-y. y' =] 2-y%3D Does y' = 2-y? O Yes O No

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Q: Ex:- If X~ Bin(n,P) If Mx= E)= 2 V(X) = 1·2. noP, P(X=\) Find

A: It is given that EX=2 and VarX=1.2 Therefore EX=np=2 and VarX=npq=1.2 Therefore VarXEX=npqnp=q…

Q: Determine whether y → ** or y → -* as x- * and x- *. y= -7x2 + 7x3 + 6x - 4 O y- * as x- .*; y - .…

A: Given function : y=-7x2+7x3+6x-4 To determine the limit of y we need to substitute the limit of x…

Q: ine x and y such that -4 3 0 -4 + -3 x - y -1 -2 4 -4 3 2x + y

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Q: If 9 = {(1, y) |1 ≤ x ≤ 3,3 ≤ y ≤ 6}: D then: 11,3 dr dy

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Q: Sotve (D + 1) y = 0, t> 0, ify=yo when t= 0

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Q: 11.6.2. f(x, y) = x4 + y+ – a² – 2xy – y². - -

A: As per bartleby guidelines we only give first question answers.

Q: If z + 60 = 3z – 20, show that z = 40. - If = y, show that y = 2, -2. %D y If 4x – y = 8 and 2(y– 2)…

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Q: Q = 70x + 82y       x ≥ 0, y ≥ 0 x ≤ 10, y ≤ 20 x + y ≥ 6 x + 2y ≤ 24

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Q: Q/IF it was AY ₁2) = -12 Y(2) ℗ Y³ (2) = − 12 ⒸY² (2) = -11 Y³ (2) = -11 DÝ (2) = -13 © ²³ (2) = -13…

A: Given

Q: 5. By Chain Rule , evaluate a. y' for y = u? + 4u and u = 4x3

A: This question is related to Differentiation, We will solve it using given information.

Q: Find y' and y". In(2x) y = 1- In(32) y' y"

A: The given function y = ln(2x)/(x^5):   Find the first derivative of the function y = ln(2x)/(x^5)…

Q: 3- If √secx + 5cosx find y

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Q: iF Zz fexiy) where R= ě- ě Gud ge ě- ě show That!- +y5= (e-ぎ)( - 24

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Q: 3) u = y f( ise XU, + yu, t zu. = ?

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Q: If y = 3u² + 2u and u = √² +5, fip S da would be: (6√2²+5+2)(√) (6 (3u² +2u) + 2)(√5) ○(3√2²+5+1)(√)…

A: We can find the derivative as below.

Q: Suppose /(x) =. Evaluate: /r(s) dr 5--x A - 21n|x– 10| +C ® --m\x– 10| + C 2ln 5 + D +C

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Q: 2 4 Ayz x = By + Cz' ||

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Q: 2- SS2 dA A= {(2x,4):x7, y7p and y=x, xy=16, x=8 f4,4)' (8) Az

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Q: Write a simplified formula for the composite (S oT)(x, y) when S(x, y) = (4x, 2y) and T(x,y)= (x+1,…

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Q: If "u" varies directly with "v," and u = 6 when v = -7, what is "u" when v = 4? Enter the number…

A: u varies directly with v  u=6 when v=-7 To find u when v=4.

Q: y = 6 7x, y = 67u-1 7x — 1, у %3D 6" 67*, y = u+6-1 –7x, y = 6“ 6*, y = ux-1 TEXT P = V72 + 14 7, P…

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Q: Exercises 27–36 tell how many units and in what directions the graphs of the given equations are to…

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Q: 2 and y = If x:y:z 4:6:9 and z = 45, then x =

A: Given:          x:y:z=4:6:9     and   z=45To…

Q: Suppose V(x,y) = (2x, 2y) and W(x,y) = (x,y + 3). Is V o W = W o V? Justify your answer.

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Q: If W (2t – 1, y (t), 4t – 7) = -20, then y (t) = O f +5 O ² +3 O 2 - 5 O ² – 3

A: We will solve this by calculate  wronskian

Q: EXAMPLE 2: Given 4XYZ with x 9.4, y = 6.5 and mLZ= 131°. Find the side z. 6.5 1310 9.4 21

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Q: Let X=(1,0, – 1, - /2)'. Then, ||X||, =| Select one: а. -1- V3 b. -V3 O C. 2 +/2 d. -V2

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Q: 1. Evaluate xy Va? + y? dy dr

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

Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = 4x2e2y

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Q: n = 29, x = 2,331, x2 = 191,077, y = 2,128, y2 = 161,876, xy = 174,226 Ξ ху — η (Σxy ) -(Σx ) (Σy)…

A: Given Information: n=29∑ix=2331∑ix2=191,077∑iy=2,128∑iy2=161,876∑ixy=174,226 Correlation coefficient…

Q: Since X~N(0,1) and Y = e^x , E [Y] = ?, Var

A: Given that X~N(0,1) Y=ex Consider, E(Y)=E(ex)        =∫exf(x)dx       =∫01ex12πe-12x-012dx…

Q: x' +y f(x, у) - (х,у) —> (1,14) as X+y

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Q: VXEN, 3yEZ s.t. x + y^2 = x - y O TRUE O FALSE

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Q: Evaluate (x – 2y + z) dS. S: z = 8 – x, 0 <x< 8, 0 < y< 7

A: Given I=∬S(x−2y+z)dSS:z=8−x,0≤x≤8,0≤y≤7

Q: y dy ³S- √y+2 3 3 0²/(√y+2-5)(-5√/y+2+y+21)+C © }(√y+2−5) (5√/y+2+y+21)+C (√y+2-5) (5√y+2-y+24)+C…

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Q: Let X=(1,0, – 1, - V2). Then, ||X||1= Select one: a. -1-V3 b. C. -/3 o d. 2+V2

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Q: x² + y² - 2x + 24y+129 = 0 O (x-1)² + (y + 12)² = 16 O (x-1)² + (y +12)² = 154 O (x-1)² + (y+12)² =…

A: Add 1 and 144 on both side

Q: 5. If x-xy + y = 3, find y' and y".

A: Solution 5: Given: x2-xy+y2=3

Q: Suppose X and Y are independent. Find Pr[X Compliment |Y ] if Pr[X ∩ Y ] = .42 and Pr[Y ] = .6.

A: According to the provided information,

Q: If o = 3 x'y, y = xz2-2 y, evaluate V ( V o. V y).

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Q: If that x+y=y+y that y

A: We have, x2+y2=y+y4y4+y-y2=x2        ⋯⋯1

Q: umbers that has and his 34) а, hen e2n/(n+2) %3D ness line

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Q: Evaluate Js I | ix, v, z) ds. Ах, у, 2) - Ху S: z = x2 + y2, 9 sx² + y2 < 81

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Q: xz, + 2yzy = 0, for r > 0, y > 0 yzz – 4xz, = 2ry, for all (r, y) #2, – ryzy = z, for all (r, y)

A: (A) Given the PDE xzx+2yzy=0 We will use the characteristic method to find the solution.

Q: Express u = (3,-10) as a linear combination u = rv + sw, where v = (5, 1) and w = (1,−1). (Use…

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Q: 13. SS R Y 3x² +1 proble dA R= {(x, y)| 0≤x≤ 1, -x≤ y ≤x}

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Q: located at (1,8), D is located at (4, 5), and E is located at (x, y). What are the values of x and…

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Q: 21. If x2 + y? =1 and xy = 2 , find (x + y)'.

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