3 13. Evaluate x2 Vx + 2 da -1

Q: 7. Differentiate a) f(x) = ev==t and b) h(x)= (5x² – 8r)e**-4". %3D

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Q: 1 If y = V1-x then y' = 2/1-x

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Q: non homogenous question:  y"+2y'+2y = x2

A: non homogenous question:  y"+2y'+2y = x2

Q: Solve the linear system

A: 2x+3y=4x+2y=3over Z7

Q: 4.3 Verify that for f(x, y) = 4x°y$ - 9x*y³. дх ду ду дх df

A: Explanation of the answer is as follows

Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: 26. у" + 4y' %3D sec 2x

A:

Q: 2 2 4x – 9y = 1 find the thirdderivative

A: Given that 4x2-9y2=1 Find the third derivative

Q: Maximize B=6xy^2​, where x and y are positive numbers such that x+y^2=4.

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Q: 3. Differentiate the following x2-1 a) y = x2+1

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Q: Bind/x(n) X(n) if XCZ) Z² (Z-1) (Z-0.5)' Z² N

A:

Q: 4[8,(t-2) rect(r)dt

A: we have,  I=4∫020δ4t-2recttdt we know that  ∫t1t2xtδt-t0dt=xt0 ;   t1<t0<t20       ;…

Q: 2 3 dt. 0 1+t2

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Q: 19. h(x) = 2x² + 4x – 1 %3D 10 10 nsformations, and then to

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Q: 8.) if z = x +jy, then Rez + Imz= (2+2) + ½/₂ (2-2²)

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Q: -5 0. 10 O 2x + 3y < -12 2.x 3y< 12 2x 3y < 12 2x 3y 12

A: From graph the two points on x and y- axis are  (6,0),(0,-4) Here there are no 'or equal to' symbols…

Q: 2 16п xV8 – x3 dx = 9V3 3 Show that - %3D

A: Let I=∫02x8-x33dx. First, convert this integral into the form of the beta function. So put x=2t13…

Q: f(x, y) = In(4x² - y) %3D

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Q: 8. Show that y = x° + 3x +1 satisfies y" + xy" – 2y' = 0.

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Q: – 10x J (2x – 3)(x + 5) 11 - - Evaluate + C

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Q: Ex Fezy)= 3x+ 8x fom <2) F(Zx).2 8+ x9 =

A: Given: f2x=3x2+8x For finding value of f'2, we differentiate given function with respect to x

Q: 3. 2. Z dydxdz 2=0 X=Z

A:

Q: 9. If x2-xy + y2 = 3, find y' and y", %3D

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Q: س 1: أختر الاجاية الصحيحة لمجال ومدى الدالة 4 - f(x( = x2 ثم اختر الرسم البياني الصحيح؟ Dr = R & Rf…

A:

Q: 21) Differentiate implicitly x² = x²y+2y²

A: Given: x2=x2y+2y2

Q: II. Verify that ду дх дх ду 3 2 2. f(x, у) %3Dх'у? — ху 'y² – xy ³

A: Given function: Now,

Q: 1 2 1 | | (x² + y»2 + z²)dzdydx lo Jo

A: To evaluate the given triple integral: ∫-10∫02∫01(x2+y2+z2) dz dy dx=∫-10∫02∫01(x2+y2+z2) dz dy…

Q: *宗+> B. If z = show that x 3z %3D x+y

A:

Q: 13B 1 x z+7;0<x< 1 x 21 Fx (x) = 0; x< 0.

A: Part (i) The relation between Probability density function and cumulative distributive function is,…

Q: 4. Evaluate the integral 2x -5x2 d.x

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Q: 1. уд y = 5x -x y=Vx+2 (4, 4) X= 2 y x x+1 y = 1 2.

A: "Since you have posted multiple figures, we will answer the  questions 1,2 and 3.  If you want…

Q: Find the domain of y = vx+6. %3D 12. O x 2 6 O x > 6 1/6

A:

Q: 6. 6. If f(x) dx = 37 and g(x) dx = %3D 16, find [3f(x) + 4g(x)] dx.

A: Given that                                           we have to find…

Q: In v3 2e" Ve2a + 1

A: I =∫0ln32 exe2x+1 dxTrigonometric substitution;ex = tan uex dx = sec2u duu = tan-1(ex)x = 0 → u =…

Q: 1. (1+ V)²dx 2 2. (교2-z) dr (r-1 +x)2 3. xp-

A: solve the following

Q: 18. y = x² + 9 and y = 10 + 2x over z = [-1,3]

A: The graph is shown below

Q: a) Evaluate ²₁ √√1-x² √√1-x²-y²e-3(x²+y²+z²)² dz dydx

A: The given problem is to evaluate the given triple integral of Cartesian coordinates.

Q: 19. (x, 4x), (-2x, 3x), given that x < 0 -XV10 (since x< 0, Vx2 = -x) %3D 20. (x, 4x), (-2x. 3x),…

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Q: Evaulate: 2 1 pr+y (x)dzdydx 0.

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Q: 7. Find mzV. V -27+10x=D29tda K-2x W (2x + 29)° ー +8メ= 091/10x-27) et 8x=56 8.50 メ=7

A: The given figure is of the parallelogram. And given that m∠W=(2x+29)°, m∠Y=(10x-27)° Note that, the…

Q: 3 18. z= 19. y= Vx(x-1) 3x-1 20. y= 2x+1

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Q: 27. y 2r(x + 2)² 29. y = x(r - 5)² 31. y = 4x(x + 5)* n= 27r - 2 26. y = x(x - 1)* 28. y = 3x'(x +…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: Zmax = 8x1 Subject to: 3 X1 + X2 s 45 1 < 20 Xns

A:

Q: ) ŷ+ 2ỳ – 3y = 3e¬* X- -

A: Here is a step by step solution of the given differential equation.

Q: 7. x + 3y + 522 = 173.61, x - 27y + 2z = 71.31, 41x - 2y + 3z = 65.46. Start with x = 1, y = - 1, z…

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Q: (b) Vry = 1+x²y

A:

Q: Irr( V1 + 7, Q) = Vī, Q) = O gt – 4x² – 2 O xt – x - None O xt – 2x² – 6

A: