x + 2 5 2 y+1 x = Ex: 5 y = Ex: 5 ||

Q: = Find y(0-3) For y² = x=y², Ens y()=1 h=0.1

A: For the detailed solution of the problem follow the next step.

Q: [x y 2 9 2 23 3 6 xy2] → Prove it.

A:

Q: y?e2x + xy³ – 1 = 0 y2+2ye2x 2e2x+3xy 6. ans. y' = %3D 10-еУ 7. хеУ + Зу — 10х — 0 ans. y' хеУ+3

A:

Q: Q.6 Show that: X-1 X+ y – 1(x-1y)= B(x,y)

A: In the given problem we have to show that                                 x-1x+y-1β(x-1,y)=β(x,y)

Q: X متغير عشوائي حيث )25 = X ~N(u = 2o ، حجم العينة 40=n %3D حسب نظرية النهايات المركزية فإن 25. X –…

A:

Q: y" + 2ty' = e* y (0) = 1, Y (0) = -1, with h = 0.5

A: (i)   Modified Euler's method :                                     y' = y'' + 2ty' = et  y(1) =…

Q: 28. x + 2xy – y +x = 2 (a) At (-2, 0). (b) At (1, 2). y (1, 2) (-2,0) 2 -2 2.

A:

Q: Es, given that x(0) = -1, and y(0) = 0 *+x+2y-1=0 2x+y+y-2=0

A:

Q: In Problem,the graph of a hyperbola is given.Match each graph to its equation.

A: Definition used -                   Horizontal hyperbola -…

Q: x' = 2x + 3y – z y' = x + z z'%3D 4х — 2у + 62

A:

Q: f(x, y) = 2y – 6ry - x 2.

A:

Q: 1. f(x,y) = x² – xy – y? – 3x – y

A: We are asked to find the extrema and saddle points.

Q: 3) ryy'-r. +1 = ry +y +r+1. Ans.: y +1 x(Ce-1).

A:

Q: = (2)ng ? i=177h! ;=(77X 2=4 [27³] -2t [i]e [1] x [ + =] X + - S. = (0)x Z- 0 2 y = X

A: As per the question we are given the State-Space representation of a dynamic system and we have to…

Q: n Problems 27–34, find two different pairs of parametric equations for each rectangular equation.

A: To Find: Two different pairs of parametric equations for each rectangular equation 27 y=4x-128…

Q: O (z² - 2x) y" + ( + 2) (2 2) y = 0 O (3x? - 4x) y" - (z + 4) H (e |4) y = 0 (22 + 4) y (4r - 4) y =…

A:

Q: de (x+2) h+2+ +C (r+2) x + 2- Option 1 Option 2 In Ix + 21 + 4r+5 + C in x + 2 (e+2) O Option 3…

A:

Q: JJ R xy dA, x² + 1 R: 0<x< 1, 0<ys2 5

A: We can evaluate the given double integral by using the following equations.

Q: 2 a) y = Find y'. 3e (ax-5)4

A: Explanation and solutions is given below.....

Q: 2. f(x,y)= 2x + 6xy +y

A: Partial derivative

Q: -6 Let y = ( 5x + . Then dy - A(5x + )" (5 -)". = A 5x + where %3D B = C = D =

A: To find the derivative of y with respect to x

Q: y f(x, y) = x²e" -1 3 1.3 2.1 3.

A: put the  given values of x and y  detailed solution is given below

Q: f (x, y) = 3 + x³ + y3 – 4xy.

A:

Q: 4) f(x) = ex – x, -5 s x s 2

A:

Q: 4x = 0 %3D 4y + i = 0 x + y 8 = 0 (х, у, 1) %3

A:

Q: A = {r € Z:2 <¤< 14 and a is even} |4| = Ex: 5

A:

Q: (x + 2) y' = xy + 23-3x-6, when x 0, y 1 O y = 2-e O y = 3- 2e* O y = 1+2e* O y = 3+ 2e * %3D

A: Solution of differential equations

Q: (D+30+3 (0+30+2)) -2)y ex %3D

A: The given differential equation is: D2+3D+2y=e-xx where D=ddx is the differential operator.

Q: 1 y(x) = L2/3 %3D 16 r(y) =? I = 16y2/3 1 3/2 r = 32y 4/3 r = 64y/2 1 3/2 16

A: An exponential expression consist of powers of variables or numbers. An exponent in exponential…

Q: x2 11.6.3. f(x,y) = xy\/1 - %3D a, b > 0. - a2 62

A: Given

Q: xy? Find R -dA, R = [0, 2] × [- 1, 1] x2 + 1

A:

Q: If 6x° +x*-y? 3x² +y? if (x, y) (0, 0) f(x, y)= if (x, y)= (0, 0) then f,(0, 0)=

A:

Q: (e) x = = 2y², x = 4 + y² - (f) x = 1 — y², x = y² – 1 32 Answers (a), (b), (c) In 2-1, (d), (e)…

A:

Q: 5.) Evaluate (x² + y² + x)dA where R= {(x,y)|1<x² + y² <4, x 2 0, y2 0}. %3D R

A: Area of the bounded region is A=21+(255 π/8)

Q: rcosck) X)= 2メ+ hca) + ě Uf)→ at メ=3 @ fiw) = O (fuda (x)

A:

Q: O A. y= x+1 y= 2x+2 B. y= 2x+1 y= x+2 O c. y= -x+1 y= -2x+2

A:

Q: y = C + Ce-St O y" + 5y = 0 O y" - y = 0 O y" + y = 0 O y" - 5y = 0

A: Let's find general solution of given function.

Q: a.f(x, y) = (x² +x + 1)e¬r²/10-y²

A:

Q: // 62*y3 – 5y*) dA, R = {(x, y) | 0 < x < 3,0 < y < 1} R

A:

Q: • [√x S: z = 8x, 0≤x≤ 8, 0≤ y ≤7 Evaluate (x - 2y + z) ds.

A:

Q: 2. x'y-x'y 12 at (-1,2)

A:

Q: 3. x = (y/3) + 1/(4y) from y = 1 to y = 3

A:

Q: (,² + 4y² )0.5_x = se!y =r!0in(r) find Ou 2 0.5 when s= 2, r = 4,t = -3

A:

Q: c) y'=X-y+1 x-y+2' with y(1) = 2.

A:

Q: Зх-1 4x+2' , find a) R , and b) R(x+h)-R(x) x+2, 3. Given R(x) = E) %3D

A: Given: R(x)=3x-14x+2

Q: а) у%3DIn(x? + 4)(2х + 5) b) у%3DIn (12х - 7) с) у ex2+3 ex-4 - d) y= 2x'ex e) y = ev3x+T

A: Given data:   a) The given function is: y=ln(x2+4)(2x+5).   The expression for derivative of the…

Q: 2.) - x= x=0 d+y=1 given a x(0) = -1, y(0)=1.

A:

Q: et2-2 2.2 R dxdy, where R between x2 = -y, y = 0 and x = -3 , y = -9 %3D

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.