1. x = BC %3D X + 3 • A C 2x %3. ML = •P 5y Зy +4

Q: X+y+ 2 =3 Z = 3 X+5y- 2x +2y-42= 3 %3D %3D

A:

Q: V5-X +|= Vー4×

A: We need to solve 5-x+1=-4x. So,                 5-x+1=-4xSquare both…

Q: 12. V5x + 4 dx, u 5x 4 %3D

A: To solve∫015x+4dx

Q: S, 53-2x dx -2

A: 4 Given  ∫-22  53-2x  dx

Q: 1. у%3D х3 — 2x2 + 3х — 5 y = 3 — 2х2 + 3х — 5 dy — Зx2 — 4х + 3 dx

A: Given: y=x3-2x2+3x-5

Q: R educe Following to intgrl egualion %3D

A:

Q: а. Иух — их +uy — и 3D 0 b. x²uyy – 2xuy + u = 0 c. uyy + xuy +x²u = x* с. d. x*ихх — 2хиҳ + и — 0.…

A:

Q: y = 5t2 - 2t + 4 -'(t) =

A: The given function is y=t25t2-2t+4. We have to find the derivative of the given function. The…

Q: 32 8y%dy y-15 2.

A: The given integral is,

Q: 3.2 (2x - y²) dxdy

A:

Q: dy if y= 3x Find dx х2+1 3(1-х2) D) (x2+1)2 3x2-3 A) 3. 3 B) 2x C) (x2+ 1)2 х2 +1

A:

Q: 1. L= V1 + 16x6 dx

A: First, we factor out 16 from the radical term, So, it becomes,

Q: x +y+z= 2 2x - y + z = 0

A: Given,

Q: 2 X 2.- (D*- 4D +4)y = x *

A:

Q: . Evaluate JVy³ + 1 dydx

A: Given,          ∫01∫x1y3+1dydx

Q: O y =2x + 3 O y = 1/2x + 3 O y= 1/2x-3 %3D y = -1/2x - 3

A: Given graph is

Q: EXAMPLE 12 Solving Radical Equations /2r + 7 – x = 2 а.

A: a.2x+7-x=2 adding x on both sides, 2x+7=x+2 squaring on both sides,…

Q: if 5. 1.6x* +4.3 コつ dy ニ

A: We first write y using exponents. y=1.6x2+4.35y=1.6x2+4.315

Q: If TR =7X-5, PA=9X+1, and EZ=14, then x=

A: we know that ,  EZ = (TR+PA) /2

Q: 4x — у %3D 11 and 2x + 2y = 18

A:

Q: -3x+9y+6z = 18 -2.x – 3y + 2z = -8 4.r + 6y-4z = 68

A: To solve for x, y, z.

Q: 8. (D2- 2D+ 1)y = xlnx

A:

Q: 5. L.V4– 2x dx dx 5x+2 6.

A: Topic = Integration

Q: -x+y+3z = 3 x+2y-z 0 3x+2y %3D -5z = -2

A:

Q: Differentiate: y = (3x 교-5z) (4n3 +2) O y' = 60a + 80a- 12a 10 - O y' = 60x + 80a + 12x O y' = 60x4…

A: Let's find.

Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

A:

Q: 13 5x³ y³ • 2 12 x yt

A: Given:2. 5x23y45 . 2x13 y253. 2a12b236

Q: 2. If f(x) = 1+ x2, find fof. * %3D A. 1+ x2 + x4 B. 2 + 2x2 + x4 C. 2 + x2 D. 1 + x4

A:

Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: 13. Se"dx = %3D 3a41 re +k. 3x+1 B 3e" + k. A c+k. 3x te +k.

A: ∫e3xdx=

Q: А сurve bas equation y%3 (x+3}x* -3х+6). Explain wһу у%3(х+3Xx*-3х+6) is always positive for x>-3.

A: The solution is :