3) 2х - бу%3D -24 3x – 2y = -1

Q: Зх-1 4x +1 %3D 6. 4

A: Taking LCM and cross multiplication

Q: 2x+4 %3D の 4 6. %3D 41-

A: Solution is given below:

Q: Differentiate y3+y2-5y-x2=-4

A: Use the power law of derivative and simply differentiate.

Q: Solve for y zu 1. In y = 4x - 2x +3 %3D

A: Here, lny=4x2-2x+3

Q: Differentiate: y 3x-5a-3+72-9x O y' = 12x+ 15z + 14x 9 O y' = 12+ 15z 2 + 14x 6. %3D O y' = 12z+ 15x…

A:

Q: (2え-4x- 2X-4X-

A:

Q: 3,- 15," + 25x_13x° 24x X - 3

A: Given:=3x5-15x4+25x3-13x2-24xx-3Divison rule:qx+rxdx

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: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: Differentiate. y=/3x² – 4 -3x y' = 3x - 4 3x y' = (3x2 - 4)-1/2 3 (3x² – 4) /2 3x V3x2 – 4

A:

Q: 1. y = Vz + 3z – 1

A:

Q: Зх + Зу + 12z %3 6 4z = 2 x + y + 2х + 5y + 20z 10 —х + 2у + 8z = 4 (х, у, 2) 3D

A:

Q: 1) V29 2) Vr12 3) V16x7y5 x100 50 7) V y200 4) V(3x – 2)8 (Зх — 5) V25(x + 2)2 8) V32y725

A: Simplification

Q: An automobile manufacturer introduces a new model than

A:

Q: sec = {- ( ).

A:

Q: Exercise 3 ry" + 2y' = 0

A:

Q: 7) (-5,3) and 4x + 3y = 3

A:

Q: Estimate: 7. 9. 15 - 3. |3D -으

A: We have to simplfy

Q: 19) 4x'y 2x+ 4y %3D

A:

Q: 3メ+2y-Z=1 メ-ツ+らる-2 2X +y =3

A:

Q: 5 + 4x 35. у - %3D х+3

A: Find where the expression 5+4x/x+3 is undefined.   At x = -3 function is undefined    n = m = 1

Q: seix-fanx 3

A: We have to find integral

Q: (I + 2A)~1 = [ 1 4 5-

A:

Q: – 4(- 7x – 5y + 9z)

A:

Q: Use matrices to solve the system.

A: Given: The system of linear equations are, 5x+0y+2z=1 0x+y-3z=2   2x+y+0z=3 The given system of…

Q: 2x³ y³ by 5x²y⁵

A: Simplifying the given expression

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

A:

Q: у' %— х — 4у, when x %3D 2,у 3 3 y' — х — 2усot 2x

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: Sx³e*/2dx

A:

Q: Domain

A: Given function

Q: Differentiate: 1. y''' - 4y'' + y' + 6y = 0 2. yIV + 16y = 0

A:

Q: 11) -3x+7y=-16 -9x+ 5 y = 16 %3D

A:

Q: Integrate √3y-7dy

A:

Q: 4x, +2x, + x3 = -1 -4x, — 6х, + х, +Зх, %3 3 8x, +16х, — 3x, — 4х, %3D-2 20x, +10x, + 4x, – 3x, = 4…

A:

Q: 4x + 11y =-3 EQ.1 -6x = 18y – 6 EQ.2

A:

Q: Vx+10 39. г(х) - 2х 40. (х)-- xVx+4 х+6 41. (х) - In, X+3

A: Given that: 39. f(x)=x+10x           NOTE: As per our answering guidelines, we can only answer 1…

Q: S 4x²+1

A: Find the integral by using substitution method

Q: - 7 (-v3-1+5u2)

A:

Q: ompany 7. (m + x+ 22) – (x – y) - -

A:

Q: 2x + y =-6 7. -5x + y = 8 7x+y=-4 -5x + y = -3 5. 6. 2x - y = 1 5x – 3y = -1

A:

Q: %3D when

A:

Q: 1. Differentiate 3x*-2.

A:

Q: corresponds to

A: General equation for downward parabola (y-k)=-4a(x - h)2, where (h,k) is vertex and 'a' is a…

Q: 2. (x- ブメッテルーョ fx 3.

A:

Q: Expand (x²n + 2x"y" + y2n)(x2n – 2x"y" + y2n)

A: To evaluate: x2n+2xnyn+y2nx2n-2xnyn+y2n We know that xm×xn = xm+n

Q: +3y = shx %3D *2

A:

Q: ŷ = 5-x x 2 2 3 4 4 y 3 4 0 2 1

A:

Q: 9. y = Vr² (2x – z²)

A:

Q: Evaulate: •2 •1 px+y (2y)dzdydx 0 Jo Jo

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.