2. (x* + y?)(xdy + ydx) - ху(xdx + ydy) -0

Q: 2. y = Vtan x

A:

Q: 2e-u²+2 +2 dydz. 1

A: We have to evaluate the integral ∫01∫1u2e-u2+2dydz

Q: 1. 2.1 y--x+ + 2x + 2x-4 3.1 4.1 y-2x-

A:

Q: -2.7 -10w x'y 5.9 -7 2x' y'z

A: Consider the exponential rule as, aman=an The given equation is, -10w-2x7y32x5y-9z-7

Q: 17. y"-5y6y=t² + 7, y(0) = 1, y'(0) = 0

A: For an initial value problem with boundary conditions available, we have to convert the given…

Q: 10.x2 + 7x + 10 11.x2 (x+5Xx+2) 13.x2 + 9x - 10 14. x2 - -42, a= 1 り =D-6 +, C =-42,

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Q: Condense 1 logs (bº) + 7' + Glog3(b – 6) – 5 log3(b + 7) = -

A: Consider  log3b6+14log3b−6−5log3b+7

Q: 6. If x = 2 and y =-3, what is the value of 2r-3ry-2y?

A: Given x=2 and y=-3We need to find the value of 2x2-3xy-2y2

Q: Solve the system of linear equations.

A:

Q: 4-a2 8-a2-y2 (2² + y²) dzdydx 2

A: Given ∫-22∫04-x2∫x2+y28-x2-y2(x2+y2)dzdydx Change the integral into cylindrical coordinates

Q: 1- y = x-1 2- y = √x 3-y=4-x²

A:

Q: 222 – 7z (z – 1) (z – 3) - -

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Q: 2- -6 -54-3 -2 -1 2 3/4 5 6 -2 f(x) = %3D

A: We have to find out

Q: 2. y-x-5 -1 5 0 8. 11 5. y -(x+ 8) +1 -8 1

A:

Q: 18. y = -- 2x - 4 7x +y 2 19. y = x + 6x x-y= 4 20. y = x + 4r – 15 y 25 x

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Q: 1. y=3sin(2x) and y= 3cos(2x)

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Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Given:fx,y=5x2+8xy+4y2+6x-9yTo find:→fx-9,9→fy-9,9

Q: ·1₂ 3. 1³-x²+2-1 dz

A:

Q: -4 y=름 (x+3)2 3 -2 -1 4 3 2 1 。 -1 -2 -y=3 ↑ y=0 1 -y=큼(X-3)- 2 3 A

A: We need to find area of the bounded region (A) and moment of area about x-axis (Mx) and y-axis (My)…

Q: 7) y"+4y+20y-23sint-15cost y(0)-0, y'(0)--1

A: We have to solve given problem:

Q: 9) If y = 3x +x² - 5 and z = x2 - 12, find 2(y +z).

A:

Q: Ay 2- X -2-

A: The given graph is:

Q: 2-5 Secxtanx edx 4-Sečx

A:

Q: 3メ+2y-Z=1 メ-ツ+らる-2 2X +y =3

A:

Q: (а-2)а+1 а?-1 4. (а-1)а-2 (а-2)а+(а-2) x2-x-20. (x2-x-2 х2-х-2 ズ+1

A: Given is the expression (a-2)a+1(a-1)a-2÷a2-1a(a-2)+(a-2)·a+6a+1 We need to simplify the given…

Q: ∫-21 (6-x-(x2+4)) dx= ∫-21 (-x2-x+2)

A: The given equation is,

Q: $. 12-1 (2²+-)(2-2) 1-4z+6z² 1 -dz .d

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 2, y(t) = 4t – 6 y(t) = t - 5 5, y(t) = 4t (t) = 4t – 5

A: We have to choose the correct answer

Q: Calculate i) 3 x (-2) - (-14 + 6) + 4 x (-3)

A: We know BODMAS rule; first solve brackets then divisions then multiplications then addition then…

Q: y = -2x³ 4x* + 2x3 5x + 15, find y'"' - -

A: Given: y=-2x5-4x4+2x3-5x+15

Q: 4. y' xe-), when x=0,y =0 5. 2xy-1+y, when x = 2, y= 3

A:

Q: у" + 16у %3D0, yT4) -2y' (π/4) -1 =

A:

Q: -x - y = -13 -x + 3y = 19

A: Here is given two linear equations;   -x - y = -13 -x + 3y = 19    To solve it; Put    -x=y-13…

Q: 5-29-3y=1-x

A:

Q: now 1. yA y = 5x-x² 2. (4, 4) y =x

A: Hi there! Thank you for the question, but as per our guidelines we can solve only one question at a…

Q: X 3Y + Z = 33 -X+4y - 22 = -47 2X-y+ 2z = 26

A:

Q: [a] -(-x)= x [b] (-x)y = -(xy) and (-xX- y)= xy

A: We use The fact that (-x)+x=0 and x*0=0

Q: 82z 82z 8. If z = x + y Inxy, show that x- 8x? δχδν

A:

Q: 9-2-y (x² + y² + z*)% dzdydx

A: Given integral is ∫03∫09-x2∫09-x2-y2x2+y2+z212 dz dy dx Take  I= ∫03∫09-x2∫09-x2-y2x2+y2+z212 dz dy…

Q: 1. y 2x + 4x at point (-2,0)

A:

Q: -3 8x°y² ' 12x'y* 6.,2 4 17m m m+5 5х-2 13 - x(x-7)

A: To find the LCD

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: 1) y = -x + 3 and y= 2x- 6 5. 4. 3. -6 -5 -4-3 -2 -1 0 1 2 3 4 5 6

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Q: Identify the x- and y- intercepts.

A: X-intercepts: A point where the curve or line cut the x-axis. Y-intercepts: A point where the curve…

Q: 3) y=--x - 1 | 1 y =-x-4 4 Ay 5 4 3 -2 -2 -3 Answer:

A: follow the  next step

Q: et xー4x-i7x +12 . Find xS. y'= 3x=-8K-17 y"- 6K -マ y"! =6' i2 y= x- =人 - 6x2 + 3x-2,what is 12

A:

Q: If (x1 , y1) = (-3, 1) and (x2 , y2) = (-2, 4), find (y2 - y1) / (x2 - x1)

A: Given, x1, y1=-3, 1x2, y2=-2, 4

Q: - 7x+ 3y+4z = -6 -23x+23y+kz =-31 -4x+ 5y+7z= -6 we must have, k +

A: We have to find the conditional value of k such that the following system is consistent.…

Q: √3 3-x² √√3√ √√3-x²√1 4-x²-y² 1 dzdydx

A: Explanation of the answer is as follows