i Explain. Reducible the working procedure of Equation to Homogencous. form.

Q: 7. y - y = 16

A: The objective is to find the general solution .

Q: 5) (x- 4)² + y² = 9 Center Radius

A:

Q: Differentiate y = Vx+1 *

A: Differentiate:    y=x+1

Q: mation 9. y'-y = 2te²¹, y(0) = 1 2

A:

Q: What does it mean if two quantities vary directly? Explain.

A:

Q: Metodo de coeficientes indeterminados 3y´´-2y´-y=x^2+3x-6     y(0)=0    y´(0)=0

A:

Q: intersecting tiner (xs+2t y +t 20646)and x=3-t ye2 2011+2t).

A: Concept which used in next step : Equation of plane passing through (x1,y1,z1)& having direction…

Q: Solve in variation of parameters y´´ + y =cscx

A: Given differential equation is: Solution of differential equation is sum of complementary function…

Q: Differentiate y = sec (x^2 + 2) *

A:

Q: (zy+9)8 dydr

A:

Q: Solve the differential equetion (x²y²Jdy=2xydx -

A: Consider the provided D.E,

Q: 2) y' – (cotx)y = -(2cosx)y2 %3D

A:

Q: Copy the diagram at the right on your paper. Draw chord RQ. Explain why mPR = mQS. R

A: Given  take center as O

Q: Integrate: 4t² + 7t – 9 dt

A:

Q: Differenitate: y = esin (z²+2z)

A:

Q: Let flox) - I=39 1-3x %3D

A: Answer and explanation is given below

Q: 3. da I² + 52 Integrate:

A: To solve the following problem

Q: Yuz - xUy = 0, %3D

A: Find out for each of the given initial conditions whether the problem is solvable or not. Then find…

Q: ツ End ly rー tanx Dソ= (mnx) cotx ナ (cotx) %3D

A: We differentiate the function using logarithms.

Q: Find y' for x 3 + y-3 9. at the point (2, 1). | At (2, 1), y' Preview ||

A:

Q: (x+ 4)² + (y – 4)² = 4 Center Radius

A: Compare given equation with (x-h)2 + (y-k)2 = r2

Q: Use differentials to approximate the change in profit corresponding to an increase in sales (or…

A: given function is                                            P=-0.1x3+200x-90;   x=60 now,…

Q: e^3z analytic or not ?

A:

Q: 5.) y = x3 + 1, y = 0, x = 1 around the a axis.

A:

Q: y = sec* ( Vsin(2t)) sec³ 3.

A: The objective is to find the derivative.

Q: Approximate (3.04)³ using a linear approximation.

A:

Q: What is arbitrary constant?

A: we have to define an arbitrary constant.

Q: How to create cubic equation (y=ax^3+bx^2+cx+d) using the points (0,0), (1,1) and (2,4)

A:

Q: Define properties of Solutions of y' = y?

A: Solution: Consider the given equation is y' = y First, find the solution to this equation. dydx  =…

Q: use Separation of Variables to find the general solution. y' = x sec y

A:

Q: Sa x5 √x² + 1dx

A: To integrate.

Q: (P-rule) 9. y=XN2X+ | %3D rewrite y

A: Given that:y=x2x+1

Q: he equilibrium pul 12) P(x) = -2x + 8, S(x) = 3x + 2 %3D

A:

Q: ). Explain how we get the Cylinder by equivalent relation.

A: Please check the next step for details

Q: dr = a(p- 1)(q-), dt

A: In this question, we solve the given initial value problem dxdt=α(p-x)(q-x)withx(0)=0.

Q: find the integrating factor

A:

Q: X ди дх = u u+y ди ду

A:

Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

Q: Vex y y 3D

A:

Q: YA R X +y = 2 10 a dydr (1)

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: LA PLACE TRANSFORM

A: we have to find the inverse Laplace transformation of the given function.

Q: Find the integrating factor.

A:

Q: Find the solutio

A: Given,         4x2y''-3x2y'+y=0

Q: ential fit y = Ce^r fit y = Cx^

A:

Q: The revenue R for a company selling x units is  R = 1300x − 0.1x2.  Use differentials to…

A: *given:- R = 1300x − 0.1x2 , 3000≤x≤3100

Q: integrate C.

A:

Q: 3.) y = Vr, y = 3, x = 0 around the x axis.

A: To find: The volume of the solid that is generated by the revolving the given function y=x around…

Q: Evaluate In(3 + j4)

A:

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.