с. X-3 -3)x' +x² -1- -14x+3 x -1 d. X-1

Q: If Z=x+iy and 12/=/2-81 of *= Hhe Value %3D

A: Given that       z = x+iy  and |z| = |z-8| Here we have to find the value of x .

Q: 3tan z sec? x dr 2.

A:

Q: 2. If F = (3x² - 3yz)i + (3y²-3xz)-(32²-3xy find div curl

A: Given problem:-

Q: S(7x-2)³ dx = (7x-2)4 + C. 28

A: The given integral,      ∫7x-23 dx=7x-2428+C

Q: Give the general solution to the equation x' Ax where A = %3D

A: To find the general solution of the given system, first we find the eigenvalues and corresponding…

Q: السؤال الرابع: جد ناتج احد التكاملين التالي ين xe* dxdy ر 4-x² 8-2y2-2x? 1- s8-zy²-2x²,

A: Given: The given integral  is 1)∫-10∫-1y2x2exydxdy 2) ∫02∫04-x2∫08-2y2-2x2x dzdydx

Q: ive non-zero of power s-

A:

Q: 7) Suppose y varies directly with x. If y=2 when x = – - what is y when 2 X--0.3?

A: Given the data :

Q: Solve using MUC. y" +4y=3sin2x 3+3+5+ y = C₁ cos2x+ C₂sin2x - -Xcos2x 4 y=C₁ cos2x + C₂sin2x +…

A:

Q: Solve Ytt = = 4yxx 0 0 Yx(0, t) = 0, Yx(1, t) = 0, Y (x, 0) = 0, y(x, 0) = 3cos(2nx)

A:

Q: If y2 is positive, then y1 + y2 will lie _______ y1 by a distance equal to ____.

A: Consider a function y=sinx+1. Here y1=sinx and y2=1>0positive.

Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

A:

Q: x+ y+ 2z=9 2x +4y - 3z = 1 3x +6y-5z 0 [1 1 29 2 4-3 1 3 6 -5 0 to the cecond to obtain

A:

Q: I have equation 3x(y-x)=0. Is it true that x here is equal to 0 and y is equal to x? How can I show…

A: To check:  Whether x here is equal to 0 and y is equal to x. Given information: The equation is…

Q: 9) (3x-29 +2) ex+(39-2*-2) dyzo

A:

Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

A:

Q: 1-x2 1+x 8. y = 9. V(x) = 5 + Vx 10. QUY) = Q0) = + %3D

A: To find the derivative of the given functions

Q: Differentiate. y = 3 x In x

A: According to the question, we have to differentiate the expression y=3x lnx. To differentiate the…

Q: If x &lt; 0 and y &gt; 0, determine the sign of the realnumber. x/y

A: It is given that, x &lt; 0 and y &gt; 0

Q: Find dy. y=5th root of x^2(8-2x)

A:

Q: 3. /4(1-)esc (1-y)dy

A: We have to solve the integral

Q: Find an equation for the line below. 6-4 O=0 -24 Continue Submit A Dlo

A:

Q: 2. xy2 = 6 at point (6,1)

A: Follow the procedure given below.

Q: Ir th line x=4+2t, ーも paralled to the plone 3x +ry +2=7-

A:

Q: dy -1,-if x²+y?=9 then dx 1- 2- y 3-х-у 4- (x+y)/3 2-

A: The equation is given by x2+y2 = 9                                        .........1 To evaluate:…

Q: 4y² – 25 -dy

A:

Q: Evaluate: ₁²-du So -3 (x² y²)²7 x+y du dt

A:

Q: If y = (x+1)/(2x - root x' then y' will be?

A:

Q: -x+y+2z = -3 3x- y+z = -2 2х- Зу- 42 %3D 1 X = y =

A:

Q: malie (x+ 1) to (+VZ x +1) (x-Vzx t1)

A: To express: The expression x4+1 to x2+2x+1x2-2x+1. Formula used: x2-y2=x-yx+y x2+y2+2xy=x+y2…

Q: 2₁ "+21y+8x=y" + 5y' + ex

A:

Q: dx 10) √x²4(14+x²) a) - - - c) - 1 4X ㅗ 4x + 1 andan ²/3 + c autan 1/2/3 + c 8 I ondan 2/2 + c 8 j 8

A:

Q: Sec(1+ 까an (품 -).

A:

Q: Show that - dx /x²+2x+2 L- In(√5-2).

A:

Q: H-W. Min 2=20X メー+2-メ Ya 3 Const.

A: Given: MinZ=20x1+10x2x1+2x2≤403x1+x2≥304x1+3x2≥60

Q: In x y of y = 3

A: Find your answer below

Q: - 6х + 2у, dt dy -3х + 1у dt

A:

Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & z, then simplify. - -

A:

Q: Differentiate x²y3 - y2-6x=0 with respect tox. A 3x²y2-2y −6+2ху 3 2х3у2-2y - 6 6-2xy3 3ху2+у В С D…

A:

Q: d^2x/dt^2+4dx/dt+4x=7    ;[x(0)=x'(0)=0]

A:

Q: S(1 + sec ax)²dx is equal to

A: ∫1+secπx2 dx

Q: 3. 1 S [(2x - 4y)dydx 31 1 -1

A:

Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

A: We have to find the discriminant from the given function

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 =…

Q: Find dy and simplify whenever possible. 1. y=(5-6x)¹2 4x-5 2. y=--- 2x + 1 3. y=(2x+5)(4x−1)

A:

Q: а a²-x² ху(х + у)dydx 0. x,

A: Integration of function expression with respect to variable x or y gives the area under function…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.