f(x) = 2x - 3x² – 12x + 1, [-2, 3] %3D

Q: Find + 2x + 3 d x2

A: ∫(7x2+2x+3)dx=∫7x2dx+∫2xdx+∫3dx∫(7x2+2x+3)dx=7∫x-2dx+2∫xdx+3∫dx∫(7x2+2x+3)dx=7x-2+1-2+1+2x1+11+1+3x0…

Q: r of (x + y3)

A:

Q: c - [² x ² (1 - √x ) ³dx 0

A: In this question we have to evaluate the Integral.

Q: Find the linearization of-ƒ(x, y) = x2 - xy + 1- 2 y2 + 3?

A: Here we have,  f(x,y) = x2-xy+1-12y2+3 at (3,2)

Q: 5T 1 y=-2cos(Gx+っ)+1

A: Phase shift: -5π

Q: 6x - 2 f(x) = %3D I +2

A: Given function  f(x)=6x-2x+2

Q: Solve the system of linear equations.

A:

Q: a. y = x* – 3x² + 2 at a point (1,0)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: y'' - 6y' + 9y = x^-2(e^3x) using Methods of Variation of Parameters

A:

Q: write the domain in interval notation.

A:

Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: f(x, y) = 8x3 6x2y3 + 7y4 -

A: Given data:     The given function is: f(x,y)=8x3-6x2y3+7y4.   The expression for the partial…

Q: -x-1 a) y' = +2yi-1 v(0)=1

A:

Q: x – 5y = -4x - 2y %3D II at x -3.

A: Simplification of the equation helps to find the required function value. Substitution of the point…

Q: y²-6x²y=-9x ; y' at (1,3)

A:

Q: Find dy. y = 8x° - 7x - 3 5 dy =

A:

Q: Select all the functions that are a solution of y" - y = 0

A:

Q: f(x) = %3D 4 — т

A: We will approximate f(x) by the Taylor series. Taylor series of function fx at a is defined as:…

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: ) y( 3x*- xy - 7)d -x ( xy ty- 2x) dgy = 0

A:

Q: V4-x2 i * " 4-x2-y2 Jx²+y² ydzaydx 1-

A: As the limit of the integration of y and z are function of x and x,y respectively. So to find the…

Q: c. f(-8x)√√3-4x² dx d. S dx 6x² (4x³-9)3

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 5. f(x) = x - 16x + 64x? %3D Zero Multiplicity Effect

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: f(x)=10/17sqrt(6x^2+2x+6)= 10(6x^2+2x+6)^1/17, then df/dx =

A: f(x)=106x2+2x+6117

Q: V2x-x2 SS2*-*" (x² + y²) dydx

A: Changing cartesian to polar coordinates: x2+y2=r2x=rcos θy= rsin θ x ranges from 0 to 2y ranges from…

Q: Find the linearization of y = 3xe²x-10 at x = 5. %3D

A:

Q: f(x.y) = 4x - 8x + 5y² + 6; R= {(x.y)(x= 1)² +y² s1}

A:

Q: 2a V2ax 2ах f (x, у) dydx (a > 0) е. 2ах-х2

A:

Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

A:

Q: 3 (x²-2y+xz) dydzdx = 0. -2 1

A: see 2nd step

Q: [v= -y +2x ,x' = 4y + x + t

A:

Q: Find d3y dx3 of y = x³e-x

A:

Q: z2 – x² – y2 = 1 %3D -

A: We have to sketch the hyperboloid.

Q: I-y+z=1 2x + 2= 2

A: The system of equations are : x-y+z=12x+z=23x+y-3z=3 Apply the cramer's rule in the system of…

Q: f (x) = 3xª – 3x³ – 5x² + 27x – 36 %3D -

A: Given Data: Polynomial function: fx=3x4-3x3-5x2+27x-36   To obtain the bonds, the leading…

Q: (x²-2y+xz) dydzdx= -2°1

A: Given        ∫03∫-21∫12(x2-2y+xz)dydzdx=

Q: 3x+2y=D-14 x-Dy-3

A: the given system3x+2y=-14x=y-3we have to solve the system by the substitution method.

Q: y''- 2y"=cosh(2x).

A:

Q: f(X) = %3D Vx-2

A:

Q: f(x) = 2x(3-x2) x²+9 %3D as x → -∞

A: Solve the given limit as,…

Q: 3.y=1x² -2x リ=(x-2x)。 dy=$(x²-2x)*x (2x-2) -2x) 12 (2x-2 %3D /2-) メ 2メ-2 d メ-

A:

Q: Find the value of the fx(2 − x) dx - 0

A: Solution :- 1250·∫02x2-x49dx Substitute u = x-2dudx=1du = dx-1250∫u49(u+2)du

Q: 1) ys-x- 2 y2-5x + 2

A: Since you have posted multiple questions so according to our guideline we will solve the first…

Q: Find fxy(-5, 0), if f(x, y) = 3x3y2 - 3x4 + 5xy3.

A:

Q: x+y-z=6,3x-2y+z=-5,x+3y-2z=14

A: Given equations are: x + y - z = 6 ............................ (1) 3x - 2y + z = - 5…

Q: 3-3X 3-3X-y dz

A: ∫01∫03-3x∫03-3x-y dz dy dx

Q: 2x+1 1. y = x-1

A: Given that  y=(2x+1)/(x-1) To graph the y

Q: 04: Show that y = 35x - 30x +3 satisfies (1-x)-2+20y = 0 da

A: We have to show y=35x4-30x2+3 satisfies 1-x2d2ydx2-2xdydx+20y=0

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.