Convert into the reduced following mateise echelon foom A= 3. 1. 2n -2 8.

Q: ft号+号 13 4. 4 2.

A: We can solve this as follows:

Q: 2 t. 1 is

A:

Q: y = x lnx,  [1,2]

A: MVT conclusion for point ‘c’ is

Q: Find the 3 lop and V-intereaph of the line 81A 5V=20

A:

Q: y®y' – 8y9 = ex ,8,

A: On simplification, we get

Q: Determine the amount of traffic between each of the four intersections.

A: Solution Given We need to determine the amount of traffic between each of four intersection

Q: m) Linearize : -3x 天ェ_= around %31

A:

Q: Complete the table of values below. -3+2 3D1 |-1+2| |0 + 2| = |1+2| = |3+2| = | -1 1 3, 3,

A:

Q: 40 9 in

A: Area of sector =thetha×πr2 /360

Q: olve y′′′′+ 3y′′−4y = e^2t

A:

Q: 了告 da 33

A: see the image attached below

Q: Find mZA. C 2 В 2/2 A mLA =| %3D

A: Sinx = perpendicular / hypotenuse

Q: Calculate (x + y) N 15 R 5. 6,

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: B= (2,}

A: Given expression is: B=z22

Q: P* +6y = é", dt

A:

Q: main, the

A:

Q: Find mZH. ロ 5/3 10 %3D | = H7W トト エ

A: Solve for angle H

Q: Find the radies of Cerve Cervature for the

A:

Q: 3 — 6 сos @ r3

A:

Q: Provide

A:

Q: a va?-x? a²-x² (x + y) dydx

A: We have to find the value of given intregation.

Q: a. y = 3et-2 et +1

A:

Q: Find the value of x and y if A ABC A DEF. 10 C 12 6. 4 105° (10z – 5) E 30° - A F y

A:

Q: If a -i- 6k andb -j+ k, find a x b. Need Help? Read It

A:

Q: If MWUV = 50°, Find mZ1. %3D

A: Given,           ∠WUV=50°

Q: a) (2² – ry) dA, A= {(r; y) E R² : x € [0, 1], y e [2x², 2/]};

A:

Q: Answer j, k, l

A: The values of the function and the limits can be determined by visual inspection

Q: Evaluate: S. yx²dx + xzydy + xz?dz, wher

A: Introduction: Integration is a method of bringing separate parts to form a whole. We find a function…

Q: differentiate 3thetacos(2theta)+2sin(2theta)

A: A detailed solution is given below.

Q: Express in the form nPr: 6 x 5 x 4 x 3 x 2 x 1 a. b. 6 x 5 x 4

A:

Q: oraw Ahe follouしづく un ions 人nctions -コ=PCx) =3x +2 4=X=y3

A:

Q: 20. y' +10y=t,

A: Given equation is y'+10y=t2, with initial condition y0=0. To find: Laplace transform of the given…

Q: /2 2) [. cot ydy R/4

A: As there are multiple questions, 2) is solved here.

Q: following equations represents the

A: we have to determine which of the given equations represents the tangent function with period π3,…

Q: tarts with 40 bacteria and grows at a

A:

Q: 3- SS (z+y) dA

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Evaluate and simvlify y'. sec 2w y sec 2w + 1

A: Given: y=sec2wsec2w+1

Q: Refer to the table if needed.

A:

Q: AB has endpoints at A(2, 6) and B(6, 8).

A:

Q: Find x, y, and z* 3.

A:

Q: Find the length of XY. X(0, -2) & Y (12, -7)

A:

Q: Convert to standard form. y = (x – 3)² – 16

A:

Q: || S 37 I+zx/ xp x

A: the given integral is ∫xdxx2+13 substitute  x2+1=u2xdx=duxdx=du2 therefore the given integral…

Q: hm 42-t-12

A:

Q: 10 45

A: We have to find leg

Q: 1.

A: We can find the integration as below

Q: Dist. (X) Height (y) 1 7 12 15 4 16 15 12 7 7

A: Given,   Dist.(x)   Height(y)      1        7      2       12      3       15      4…

Q: = (ry?, yz',-zx). Find grad(divA)

A: The given function A is: A=xy2,yz3,-zx3

Q: x + 9x2 + 11x + 5

A: FACTORISATION of Polynomial:

Q: C 46 2x -4 D MZABC = %3D Blank 1: Blank 2:

A: Definition used -                   Vertical opposite angles are equal.                   The sum…

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.