10x? .2 +11гу + у? lim (л,у) —(-1,10) 10а2 — 39ху — 4y2

Q: 4. 21 - 4q + 42r - 16 = 5. 19st - 6s +t = 6. 107 + 107x - x =

A: Topic:- algebra

Q: 7 --y2 Then 2 5 Q2: If z = –x² az + 5x ду az 7y ||

A:

Q: 中=メ+コ- , B=(2xyz35x2,3×Z)Jcbs kcr マ応 ماء ج マ中 (Gx)マ4

A:

Q: Max Z x, +8x, Subject to (1) * +3x, 56 2x, + x, 8 X, X, 20 %3D

A: Express the problem in standard form. Add non negative artificial variable to left hand side of =or…

Q: fin (z° + 15z + 44)dz

A:

Q: ☺ cosh"z= Loy {2+/2

A:

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)…

A:

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

A:

Q: Evaluate the integrals

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

Q: 31. If 9x² = y(y – 3)², show that (y + 1)² ds - dy². 4y

A: We know that Given Firstly, we find dx in terms of dy

Q: 5-4y2 dy 3+2y

A: To evaluate ∫5-4y23+2ydy

Q: - 5x + 4y – 3z = - 1 - 10x – 4y – 4z = 46 20x – 4y – z = - 44 (x, y, z) =

A:

Q: = Express by ¡y¡ in the terms of x variables where y; = C₁jx; and bicik = 8%.

A: express bijyiyj in the terms of x variables where yi=cijxj             ...i and bijcik=δik…

Q: x = 4 y = x' |(2, 8) y = 8 y = Vx (4, 2) Figuro 1

A: Solution for question a: In figure 1 the region is bounded x=y2,the x-axis, where 0≤y≤2 The formula…

Q: 3 If z= then: (2x² + y² )² ' dz az + y- -4z he dz dz + y- 4% az dz + x- y- = 4z az az = -4z

A:

Q: 2ryy' –1-y - 0, y(1) = 2, one can fir

A:

Q: f(x) (28z +39)(2r 17)(5z 18)(7z 24) (24 7r)(5z 18)(28z +39)(39r 17) E) da como resultado:

A:

Q: 82z 8. If z = x + y lnxy, show that x- 82z + ミy2 82z 8y2 8x2 δχδν

A:

Q: Calculate fx(l, 3) and /y(l, 3) for f (x, y) =

A: Given: fx,y=7x+y2

Q: Suppose that W (y1, Y2) (t) = 4, and y3 Yı – 3y2. What is W (y1, Y3) (t)?

A: Correct option -12 We have to find out the value for Wy1,y3t.

Q: 82z 82z + 8x2 82z If z = x + y lnxy, show that x- = y², y2. 8y2 ID 8x8y

A: Given, z=x+ylnxy We need to show that,    xδ2zδx2+δ2zδxδy=y2δ2zδy2

Q: 4y² – 25 -dy

A:

Q: 8) Find x if mZTUV 70°, mZDUV 6x, %3D and m2TUD= 4x+ 10. %3D D

A: Given  m∠TUV=70∘m∠DUV=6xm∠TUD=4x+10

Q: 8. fz/25 – z² dz

A: Consider the provided integral, ∫z225-z2dz Evaluate the provided integral. Apply the method of…

Q: 16. If 1 || m, mZ1 = (6x + 5)°, and m2 = (9x – 46)°, find mZ1. 1 2 m

A: Given that the traversal, if   l   ||   m,   m∠1=6x+5°m∠2=9x-46°

Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

A:

Q: =--x+ 1 3. 2 1 -1 -6 3 4 5 6 -5 -4 -3 -2 -1 -2 -3 -4 -5 -6 C y=2* x + 3 3 2 1 -6 -5 -4 -3 -2 -1 1 23…

A:

Q: the of olution using simplex me Max z = 8x, + 10x, + 7x3 s.t: 4x + 6x3 + 3x3 S 60 7x, + 2xz + 5x, S…

A: In this question, the concept of Linear Programming is applied. Simplex Method An approach to…

Q: 3x – y + z = –1, -x + 3y – z = 7, u+ 3z = -7.

A: Given: 3x-y+z=-1 -x+3y-z=7 x-y+3z=-7

Q: 13. If mED = (9x-3)', mBF = (15x – 39)', and MZBCF = (11x-9)', find mED. %3D D.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?

A: Given

Q: az Calcula y z = x4 – 2y3 O 8z 4x3 az -6y? O az 4x – 2y dz = 1* – 6y O dz = 4x3 az = 6y? O 8z 4x –…

A:

Q: 20. y 4x, 4x+ 9y = 8z + 72y- 119 Ans. (4, 4), (1, 2). %3D 91 01

A: Obtain the value of x in terms of y from the first given equation and substitute it to the other…

Q: 1. Find XY when X(-7, 10) and Y(3, 4).

A: GivenX≡-7, 10Y≡3, 4To find XY

Q: Find the distance between -4 u = -5 and z = 2 8.

A:

Q: واجبات اوجد الكل م ما ياني o y = 2t2 + 1, t 5x r2 + 1 y = r = 6x O y = V2u, u = 2Vx

A:

Q: 32. If WY = 15x - 2 and XZ = 9x + 10, find WY. DELL

A: Here I am solving question 1 if you want the answer of second question repost the another question…

Q: Differentiate: y=v6z -8z3 Oy= (6-24z) V6z - 82 Oy (3- 12) V6z-82 6-24z 6z-8z Oy'= 3-12z 6z-82

A:

Q: ų (H)= - 2y, (t) + 24;(4)= Y,(4) - 2y, (t) +2t t 9,lFS +2

A:

Q: x2 + (3y ÷ 6) − z  when  x\ =\ 9x = 9, y\ =\ 8y = 8 and  z\ =\ 11z = 11

A: x2+(3y÷6)-zx=9 , y=8 , z=11

Q: 2 lim y→7L_– 4y – 21 3y Зу — 17у — 28 -

A:

Q: Determine Duf (4, – 1,6) for f(x, y,z) = e**y + 4zx³ in the direction of (-3,2,6). %3D

A:

Q: min 40x, + 30X; ニ 281 t X2 z 20 2xx + 3x2 2 30 X,, X ZO

A: We have to minimize the objective function Z=40x1+30x2 with the given constraints and x1, x2≥0 using…

Q: ·S- Find y dy Vy+2 using the substitutionu +5=√√y+2. A √y + 2 − 5 ) ( 5 √√y + 2 + y +24) + C (В…

A:

Q: 3. If AB = 7x – 13 and YZ = 2x + 4, what is the length of YZ ? Ox-13) 2x+4)

A: Midsegment theorem According to this theorem, line segment joining the two sides of a triangle is…

Q: If the cost of car 1 is (2 + B)(3x+ 4) OR and the cost car 2 is (43x – (9+ B)), find the -- value of…

A:

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: 33) - 2y + y, + y; = 0, y + y', = 4t +2, y, (0) = y, (0) = y,(0) = 0 y + y, = t² +2

A:

Q: find the first and second derivatives w = 3z7 - 7z3 + 21z2

A: Given the function, w = 3z7- 7z3 + 21z2 Differentiating with respect to "z" dwdz =…