{[{ ال 1: تحق ق من دالة التالية تحق ق معادلة لابلاس :س Z = In /x2 + y² اضف ملف ك 3. fxy ل لدالة : حسب f(x, y, z) = sin(3x + yz) اضف ملف ک :س 2 اوجد المشتقة الجزئية ل لدالة ) ,Z,Z (: Z = xy sec(xy)

Q: Find order and degree of y'+ (y")? =(x+y")? O a. 2,1 O b. 1,2 О с. 1,1 O d. 2 ,2

A: The given differential equation is                                              y'+(y'')2=(x+y'')2…

Q: السؤال الرابع: جد ناتج احد التكاملين التالي ين xe* dxdy ر 4-x² 8-2y2-2x? 1- s8-zy²-2x²,

A: Given: The given integral  is 1)∫-10∫-1y2x2exydxdy 2) ∫02∫04-x2∫08-2y2-2x2x dzdydx

Q: a2f дхду' a2f 2. (a) If f (x, y) = x tany + ye-2*, find and What do you notice? дхду (b) If f(x, y)…

A:

Q: Z'1z Where Cil21 ComflexAumber

A:

Q: Write the ratio as a ratio of whole numbers using fractional notation 12 to 1

A:

Q: • The Doman of f(x) = 4-Vx is 1. (2, co) 2. [-2, c0) 3. [2, 0) 4. [-2,2]

A: The domain is the set of all values of x for which the value of function f(x) exists.   For f(x)=4-x…

Q: (7) 3x-7>11 ans./ (-co, -4/3) u (6, co)

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

Q: 2. J Зу /7—Зу?dy

A:

Q: Find y' where y = tan(11a? + 8) v173 + 17 Answer: 51a2 y/ = sec2 (22æ)\/172³ + 17+ tan(11a² + 8)…

A: I have used the rule for composition of function and multiplication of functions

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

A:

Q: Let u(æ) = sin(x) and v() = a = 18 and f(x) (*)a u (2) -| v (2) = u'v – uv f'

A:

Q: Let f(x, y) = cos(xev*) + cos(x + ey²) , find дхду* O a. -2ye" (sin(xe") – x cos(xev*) + cos(x +…

A:

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

A:

Q: əz əz When e* = xyz, find and əx ду'

A: The given equation is ex=xyz. So, ex=xyzz=exxy

Q: 15. Let fx)- Find tuntions +3 %3D Flalx) = get (x) =

A:

Q: Display the discontinuity of h at (0,0) and Evaluate hx(0,0).

A:

Q: For y = f(x)=3x-1, x = 5, and Ax = 3 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c)…

A: Results:(i) If y=f(x) ,then (i) If y=f(x) ,then

Q: (b) If f (x, y) = y sin2x + x°cosy °cosy 3 then verify dxðy dyðx

A:

Q: 3. y" = Vx3 4. у" + 16у %3Dsec(4x) — 3

A:

Q: 3) y tan-1(y²) dy

A:

Q: 1) FIND F'): C P)= (x D(2x+)

A:

Q: exercițiul 8

A: Step 1:Step 2:Step 3:

Q: (2(1-2) (1--) dy dx dz 1-z) Evaluate S, a-2 (1-

A:

Q: SORU 7) S*-[(sint)i + (1+ cos t)i + (sec? t)k] dt =?

A:

Q: 4) Find ôw/ ôr if w= (x+y+z)*, x=r-s, y = cos(r+s), z = sin(r + s) the point (r,s)= (1,-1)

A: Given - w = x + y + z2 , x = r - s, y = cosr + s, z = sinr + s To find - Find ∂w∂r at the point r, s…

Q: Find 00 et (ii) L-1 [cot"" ())

A:

Q: (D'+1) y(x) = sec(x)

A: Given DE is D2+1yx=secx solve the DE by method of variation of parameters

Q: dy / dx

A:

Q: Q9: If F(x, y, 2) = [sinh-(sin- (In (/sin(cos(x²)) y? + zyx + y, find and ду az Q10: If z =…

A:

Q: (1-) ex, 4. S ex 2dx

A:

Q: cos ax -dx = te' 2 х* +1 ле",а 20.

A: In this context, prove ∫-∞∞cos axx2+1dx=πe-a,a≥0. Consider, ∫cfzdz=∫-∞∞cos…

Q: f(x)=x3+3Sinx tacos x, Find (f) (a) a=2

A: NOTE: Refresh your page if you can't see any equations. . take x=0 and check  so the point (b,…

Q: S₁ dx J2x (J2x +9)

A: To solve the given integral.