If 1 =- V(x2 + y²) [(xyz – 3xy)a, + (zy² + 3x² )a, + xy az] And B = r² a, + sin 0 aø Find JÃ x B| at P (1,2,4)

Q: Find all harmonic conjugates of u(x, y) = x³ - 3xy² + 2y.

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Q: Solve for the orthogonal traysctories x*(3k-x) - ky². = x ? 2

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Q: for Q4\ Find fo dx 1) y = (x cot 2x) 2)x+4x√√y-5-3

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Q: /s. 5. Show that 2x?dx = f 2x²dx + S, 2x²dx + f 2x²dx %3D

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Q: Find the derivative of f(w)= sin(4w²)+cos(4w²). A) Swcos(4w°)–8wsin(4w²) B) -8wcos(4w?)+8wsin(4w²)…

A: Given function is  f(w)=sin(4w2)+cos(4w2)Derivative of f with respect to w:f'(w)=…

Q: O t-sin(t)

A: the answer is t-sin(t)  provided the solution below with steps in step2

Q: дz If z = f (x, y), find and for the following equation ду дz дх

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Q: If D ⊥ D', D: (2a - 3)x + ay - 2 = 2y + 3a and D': (3a - 1)y + 2(3a + 1)x = a - 1 find the value of…

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Q: find all values of unknowns which satisfy the following equations: 1. (x, y, z) - 3(-1, 2, I) = (0,…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: If x²y" + xy' + (x² – ÷)y=o x >0 ,V,=x 2 sinx , and y =y;v. Which of the following equations…

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Q: 16. Find the values of r so that the function y= e™ satisfies the equation y" – 4y' – 21y = 0. A)…

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Q: a z = 4x³-6x²y²-y com x= 2sen(t) y=-3cos(t) e

A: #As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: (D³ - 3D2 + 9D + 13)y = 0

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Q: Suppose that I'm (f`∞x) = (x (24-1) and f(0) = 3-2i, f(1) = 6 -21, Find f(1+i)

A: Given that Imf'z=6x2y-1 To find: f(1+i).

Q: Determine the length of x = 3+ (y – 2)², 4<x< 19

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Q: Evaluate r(2) and r(-1) for r(t) = (sin 1,12, (1² + 1)~1). %3D

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Q: Q3) A: Find y if: a- y = sin 2x + 2 cos x c- y = sin √x (As... b- y = secx. csc x d- y = tan(2x + 1)

A: Please see the attachment

Q: If fxy (x, y) = , ,0 2) =

A: Given,fXY(x,y)=x+y27 ; 0&lt;x&lt;2 , 3&lt;y&lt;5

Q: Prove that if x+y=%30 then y=-x

A: See the attachment

Q: if r'y-- 2y + 1.

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Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

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Q: If fxy (x, y) = y for 0 2X - 2) =

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Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

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Q: A 4,-1) B(4,-2) find lime x approachesto1 from postve dinection.

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Q: Q2- If Z = f(x, y) = sin(x³y5) Find fyy and fyx

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Q: form y = mx + b that repres

A: From given graph it is clear that

Q: What is the image of (4,-1)(4,−1) after a reflection over the line y=xy=x?

A: Reflection over y=x means:  (x,y)→(y,x)  We need to find reflection of (4,-1) over y=x line .

Q: Əz and Əx az #4. Calculate given that ду x² sin (z) + (x² – 1) y* = 2°.

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Q: Find those constants a, b, c, d such that f(z) = ax² + bxy + y² + i(x² + cxy + dy?)

A: The given function is : fz=ax2+bxy+y2+i(x2+cxy+dy2)

Q: 3 f(x, y) = x° sin(xe")+ xe

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Q: 3. Let 7, r, and r, be the roots ofx' +3x-5x-4= 0, construct the equation whose roots are: 7(r, +r3…

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