Q2/ Find the inflection point(s) and state the concavity of the following: a) y" = 8x² + 32x b) y" = (x+ 2)(x² – 4)

Q: The productivity of a country is given by ​f(x,y)=14.41x0.427y0.573​, where x is the amount of…

A:

Q: What is the need of y=mx+b

A: The need of y = mx +b is given in the next step.

Q: 4.3 Verify that for f(x, y) = 4x°y$ - 9x*y³. дх ду ду дх df

A: Explanation of the answer is as follows

Q: Approximate  ∫21ex^2dx using the Trapazoidal Rule with n=5

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Q: 2 Consider the hypocycloid with equation y 3 +x3 =73 2 2

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

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

Q: I e wing pofial fretins. Integante AS. 7x² - 13x + 13 (x-2) (xt- 2x +3)

A: ∫7x2−13x+13x−2x2−2x+3dx

Q: Explain why it is not necessary to use the Quotient Rule to compute

A: Because in the first expression x is in the numerator and we are doing partial derivative with…

Q: Because XYZ intercepts XZ of OP, mXYZ = mXZ. %3D O True O False

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Q: Y(2) 16z %3D Z. (2+1) (42-1) (2г—1)

A:

Q: 1. y=x+5 y= 6

A: A system of linear equations is a set of one or more linear equations. Each linear equation…

Q: (a) x²y "-xy '+ y = Inx %3D

A: According to our guideline, We can solve only first question of multiple question.So here we solve…

Q: The points of inflection of y= x* – 12x³ +48x2 – 64x occurs at A) None of the given choices (2, -16)…

A: Given curve is  y=x4-12x3+48x2-64x

Q: If x < 0 and y > 0, determine the sign of the realnumber. x/y

A: It is given that, x < 0 and y > 0

Q: 2 yul +3y" y + 3yty

A: Given differential equation is y'''+3y''+3y'+y=30x2ex                    (1) Now auxiliary equation…

Q: What is the domain of {(y,y)|y€Z}? z2 A,

A: Given that: {(y2,y)|y∈Z}

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

A:

Q: If f(x,y,z) = 3zy²e* , grad f =

A: Here we have to find gradient of given function f(x, y, z).

Q: 4. 2dx Evaluate. using Trapezoidal rule with n = 6. 4x+3

A: Given integral

Q: If x2 + y2 = 4 which has domain Dr=[-2,2] range Rf=[0,2]. Shrink and stretch it vertically by 3…

A: We are given:  x2+y2=4⇒y=4-x2=f(x) For shrinking vertically by 3 units , we have: f(x)→13f(x) Hence,…

Q: .What is the set of points given by (a) x² + 2xy + y² = 1 (b) x² + y² - 2x + 4y + 5 = 0?

A: To find the set of points satisfying the given relation.

Q: 2. 2y + 4z = 6 4x + y - 3z = 1 3x – 8y + 2z = 2 13

A:

Q: *5. Consider ry² + x°y = 6.

A: We have to find the derivative

Q: 3. y = x³ – 3(x² + w²) 4. y = x7 + V7x - 1 TT + 1

A: Differentiation wrt x

Q: 8r2 te V1-4.a

A:

Q: Show that y= 35x'-30x + 3 satisfies (1- x' )y'-2xy+20 y= 0.

A: Find 1st and second derivative put in ode check it gives value 0 or not

Q: Examine y = 3x* –10x – 12x2 +12x– 7 for concavity and points of inflection.

A: Let's find.

Q: )Show that y= 35x'-30x +3 satisfies (1- x )y'-2xy+20 y= 0.

A:

Q: What are the points of intercections of Y= x^3+2x^2-x+1

A: The possible way to determine the points of intersection is between two curves.Since in the question…

Q: u+ 3z = 5 y +z = 1

A: Matrix: The matrix isA=1211131-11b=451At first we need to find the determinat of A.Ax=b is the…

Q: What is the radius of x² + y² – 6x = -4y + 68:

A: Explained below

Q: 3 a AB: 4x + 5y = 13; midpoint (2, 1)

A: The equation of the line is 4x+5y=13. The midpoint of the line is 2, 1.

Q: If AX = 4y + 3 and XF = 2y +7, find the value of 'y %3D %3D

A: In parallelogram diagonal bisect each other. Therefore, AX=XF

Q: vz 3y 8-x2-y? 1. dzdxdy 0 0 x2+3y2

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

Q: Q1: - find dylax for y = 5cscx³

A:

Q: Differentiate with respect to x,             y = (2x + 1)(3x + 2)

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Q: In(r – y) 9-r2 - y?. Vr + y? – 4 Find and sketch the domain of f(r, y)

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Q: What is y′(x) when y(x)=(2x)^8?

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Q: aw find if w = 2x²y- 2z and at 2t3 • y = 5e-3t AZ = 3lnt %3D

A:

Q: 3. Find y" y = vx² – 4 -

A: Given query is to find the derivative of the expression.

Q: A 3 X Y- X Y = 4xソーメニ2findr 3D2 and X"at X =1

A: Using definition of differentiation

Q: - eliminU1 stem of equato y=2t 「し 3x-) 3D3 X+ 2y =3

A:

Q: Use the characteristics method to solve the problem U, +3yU, = 2U , U(x,1) = f(1+ x,)

A:

Q: Z=Xi tXz – 2X3 Min Sito X, 4 YXq - Xg =do 2X, +3X2+X > 20 760 Xガフ0jーム2,3 Using M-tech i Lue

A: Min Z=x1+x2-2x3 subject to x1+4x2-x3=10                 2x1+3x2+x3≥20                 3x1+x2+4x3≥60…

Q: Find The derivatve of this fanction y= (x-1)(x-4) (2-2)(x-3)

A:

Q: What is the degree of f(r, y) = 2y + Vr2 + y? ?

A:

Q: Мaximize Z = 14x + 21y subject to 2x +3y 0

A: This is the simple problem based on linear programming problems (multiple optimum) which could be…

Q: What does the VXayL(x,y) mean if L(x,y) means x loves y?

A: Given statement is ∀x∃yLx,y. Where Lx,y means x loves y. For every x there exists y such that Lx,y…

Q: dy Calculate y = -6x2 + 2x %3D

A:

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

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.