Express.  y=√(3x²-9)  as a composition of u(x)=√x , v(x)= (x)² , j(x)=3x-9

Q: 5.Find f, L L*(x² + y² )dydxdz

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Q: compute ∫_D 2ydx+3xdy, where D is described by 0≤x≤1, 0≤y≤1

A: Green's Theorem: Let C be a positive oriented, smooth, simple closed curve. Let D be the region…

Q: non homogenous question:  y"+2y'+2y = x2

A: non homogenous question:  y"+2y'+2y = x2

Q: Solve the linear system

A: 2x+3y=4x+2y=3over Z7

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: Find y' by implicit dif ferentiation for 2y³+4x² –y = x6 . 6x5- 8x y '=- 6y2 – 1 A 6r5 + 8x B 6y2– 1…

A: Given, 2y3+4x2-y =x6 We have to find y' by using the implicit differentiation.

Q: - 5x + 4y – 3z = - 1 - 10x – 4y – 4z = 46 20x – 4y – z = - 44 (x, y, z) =

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Q: Show that y" + ay' = b, wherein a and b are constants, can be reduced to y' =+C₁e-ax using 2…

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Q: Find for following 1.y = (x + v3x)S

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

Q: Resuelva yDx - 2(x+y) Dy=0 O x² + 2y = cy² Ox+2=cy² O x + 2y = cy² Ox+2y=c

A: Given differential equation y D x-2(x+y) D y=0 The objective is to solve the differential equation.

Q: Compute (T2 T)(x, y). T(x, y) (3x, 7y), T2(x, y) = (x-y, x + y)

A: We have to find T2 composition T1 .

Q: on of y" – 2y' + 2y =

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Q: f(x, y) = In(4x² - y) %3D

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Q: Evaluate: ₁ 3 [(x² - y²)²] x+y So du dt

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 294 + 0.4x and R(x) = 3x -…

A: Here C(x)=294+0.4x  and R(x)=3x-0.01x2We have to find the marginal profit function…

Q: 8. Show that y = x° + 3x +1 satisfies y" + xy" – 2y' = 0.

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Q: 6. Find the domain of y = Vx+ 4x + 5x + 2 + Jxl-|x+1]

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Q: The line tangent to y = ƒ1x2 at x = 3 is y = 4x - 10 and the line tangent to y = g1x2 at x = 5 is y…

A: The line tangent to y=fx at x=3 is y=4x-10 and the line tangent to y=gx at x=5 is y=6x-27. Consider,…

Q: h(x) = Vx – 2 on the domain [2, 5]. -

A: The given graph is:

Q: Goes through (0, -2) and has a local maximum at (1, 3) f(x) = 5x² - 10x - 2 O B) f(x) = -5x² + 10x +…

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Q: 4' for T- T2• T, and T- T1• T2. x - 5y, 4x + 2y) y, 0)

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Q: 3. Eliminate the arbitrary constants by isolation of constant y = x + C₁e* + С₂e-²x

A: In this question,  will form the differential equation by eliminating the arbitrary constants from…

Q: ral soluion of qineral xy" + 2y'=6x Find the

A: We will first reduce the order of given differential equation

Q: Show that y" + ay' = b, wherein a and b are constants, can be reduced to y' =+ C₁e-ax using 2…

A:

Q: Find y' for x^4y^3−3x+2y=24 at the point (−2,1).

A: We have, x4y3−3x+2y=24 Using the chain rule of differentiation,…

Q: (b) Differentiate (Vx+ 1) with respect to x. 2/3

A: as per our guideline we can solve maximum one question you can repost other questions

Q: Find yll of x³+y²=3 by implicit ditferetlal C1o pants

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Q: I Sdve for dy using the four-step rule 2. y = x"- x 5X-3 ソ= 4- 3X

A: We have to solve the problem

Q: Let_y=x² +5x³-4x+1 then dy- ||

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Q: Formulate the dual for the following LP model: 1. Max Z=400X, + 200X2 %3D s.t X1 + X2 = - 30 2X, +…

A: 1.

Q: verify that w xy= w yx. 55. w = ln (2x + 3y) 56. w = xy2 + x2y3 + x3y4

A: 55. Given function is Firstly, we find first order partial derivatives of w

Q: Evaluate [ T 1-x² x² + y² dydx.

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Q: Find the linearization L(x) of y = (64+3x2)-1/2 at a = 0. L(x) = %3D

A: The given function is: y=f(x)=(64+3x2)-12 So, f'(x)=-1264+3x2-32(6x)        =-3x64+3x232

Q: What is the DE for A(x^2)+Bx+C using elimination of arbitrary constants.

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Q: Solve for fazy for f(x, y, z) = 4x³y²z - e²zy¹ + + 4y - x¹6

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Q: Find of z = 2x° 5xy" + x¯ y dy2 -10ху + 3x? у? = -10y + 6xy²

A: To find ∂2z∂y2 of z = 2x3-5xy2+x2y3

Q: Find for following ds 1.y = (x³ + v3x)S

A: As per our guidelines we are supposed to answer only first question. If you want solution of another…

Q: If ƒ (x, y) = ln (x² + y*) then find fy. 4y³ x4+y4 x4+y4 x4+y 4y x4.

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Q: The discriminant of ax2 + bx + c = 0 is defined by_________.

A: The given equation is ax2+bx+c=0.

Q: Find y' for x°y* + 2x + 2y = 128 at the point (2, – 2). At (2, – 2), y' = Preview -

A: The given equation is: x3y4+2x+2y=128...(1) To find y' at the point (2,-2).

Q: Find minimum and maximum for the function 6 x + 4 y under conditions: x2 0; yz 0; -x+y s 12; x+ys…

A: The objective is to find maximum and minimum value of the function 6x+4y.

Q: In x y of y = 3

A: Find your answer below

Q: Differentiate: y = x2 + 3x – 1 x2+1 A. x2+3x-1 -(x²+1) В. (x²+3x-1)2 -x2+1 x2-1 С. (x²+3x-1)² D.…

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Q: Differentiate y = x'arctan 2x 2x A. 1+4x2 - 2x arctan 2x 2x3 В. + 2x arctan 2x 1+4x2 C. 1+4x2 + 2x…

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Q: 8. Find and classify all the critical points of f(x, y) = 4x y+ 2xy - 6xy.

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Q: Find y' for x^2y^4−3x−3y=13 at the point (−1,2)

A: Given Data: Equation: x2y4-3x-3y=13 Point: x, y=-1, 2   Differentiate the above equation with…

Q: note that X - y +z = e2 and 4x – 3y + 2z = e2

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Q: Differentiate x²y3 - y2-6x=0 with respect tox. A 3x²y2-2y −6+2ху 3 2х3у2-2y - 6 6-2xy3 3ху2+у В С D…

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Q: If y = x(x – 1)* then y' at x = 2 is equal to

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.