at is the end behavior of each of the fo 1. y = -4x3 + 2x? +7 2. y = 2x - 3x + 4 3. y = -x³ + 2x5 - 1 yOx(x- 7)(x + 5)* 5. y = x(x + 1)(x – 8)

Q: 4. If x²-2√3x + 1 = 0 then, a.Show that, x² - 2√2x-1=0. 14 b. Find the value of x¹4 +1 X X c. What…

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Q: (1) If x=t*2 +1and y= t*3, then the second 3 (4t) Option 1

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Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

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Q: Solve the initi al value pro blem:s' (x)=Seckta nx-2X1F(0 23

A: Given: Initial value problem f'(x)=secxtanx-2x f(0)=3 Formula used: ∫secx tanx dx=sec…

Q: (X1, X2) = -x2, Q(x1, x2) = x1; D = {(x1, T2) : 0 < x1 < 1,0 < x2 < 1}. (X1, 82) (¤1, P2) = 2x1 –…

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Q: x = -1 if y=u° +5u – 4 a

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Q: Зх-5 Given: (3х- 1)(х - 3) Find: u x-3 О 32 +3 О 3x2- 10х+3 Зх- 1

A: Explained below

Q: Vhạt is the end behavior of each of the followin 1) y = :-4x + 2x? + 7 2. y = 2x - 3x + 4 3. y = -x3…

A: As per guideline we have to solve only 3 subparts

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: 7. x+y (2r +2y-x)' at (0, %) -4 at (-3y3. 1) 8.

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

Q: "-y'-12y=x * O y= C1(e^4t) + C2(e^3t) + (t)/12 + 1/144 O y= C1(e^4x) + C2(e^-3x) + (-x)/12 + 1/144…

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Q: Bind/x(n) X(n) if XCZ) Z² (Z-1) (Z-0.5)' Z² N

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Q: Find all values of x satisfying the given conditions. y1 = 11x- 5, y = 4x +4, and y, exceeds y, by…

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Q: а)у-x^3-5x+5 b)y= xe^X с) In(x^3

A: # we are entitled to solve 3 subparts of one question. Please resubmit the question which you wish…

Q: 5. For x2 9, (x-3)* -? x-9 A -1 1. C T-3 I+3 1/3 DE

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Q: Q 4. (a). Show that fog = 4x² – 1, if ƒ(x) = 4x – 5 and g(x) = x² +1.

A: a. Given: The functions fx=4x-5 and gx=x2+1, To find: f∘g=4x2-1, Formula used: (f∘g)(x)=f(gx).

Q: Find the second order derivation for y = e-3x².

A: d2dx2e-3x2

Q: Which of the following is one of the correct steps to differentiate y=(3x-2)2(2x-3)3 ?…

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Q: If xy2 3x2y + C, then what is the value of C at (2,2)?

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Q: ex Given: 5e-x- 6e-3x Find: u 5e-x- 6e-3x 5-6е-2х 5e-X - 6e-3x 5e2x – 6

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Q: 2 Find dyif y.+3x-7 and x =, 2t +1

A: As per our guidelines we are supposed to answer only one question.Since you have asked multiple…

Q: X, t Xx t 2 Xz531 2X, + X> t Xz Z22 Naximzed By: 233y,tax2tdxg

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Q: (8) Find the indefinite inegral. 2.r3 – 11r? – 2x + 2 2.r2 + x – 1

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Q: Sketch the graph of f.

A: To graph: The function fx=-2x,    x&lt;-1x2,       -1≤x&lt;1-2        x≥1. Graph: The function fx…

Q: 2 a) y = Find y'. 3e (ax-5)4

A: Explanation and solutions is given below.....

Q: Eliminate the arbitrary constants from the following equations. x2 = axy + by

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Q: b. Min z = 4x1+ 2x2 s.t. 3x1 + x2 2 27 -X1 - X2 <21 X1 + 2x2 2 30 X1 and x2 are unrestricted .

A: Given: Minz=4x1+2x2s.t.3x1+x2≥27−x1−x2≤21x1+2x2≥30

Q: f(x) = e 6x +7 In (7x- 9)

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Q: * 2.2 2x-1 + If y = Vx² – x then y' 3x2-x T O FO

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 2. If x =-1 and z = 2y = -3x, find the value of 3xy-z 1+3x²z

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Q: 2: Find the general solution of ODE: x*y(3). 3x²y(2)+ 6xy(1)-6y= x*. Inx

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Q: Jx-6dx is 3(x-6)% -+c 2 Ob. (x-6) +c O . (x-6)% 2 O d. 2(x-6)% -+c 3

A: I=∫x-6 dx   Let x-6=t⇒d(x-6)=dt⇒dx=dt

Q: 18. If x² + 2xy = y² then y' is b. 2x + 2y d. -x

A: (18). Given: x2+2xy=y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law:…

Q: Q4 Find x for all of : 2- y = 3 x(x-2) x+1 1- y = xvInx

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Q: 7. Given: x + 3y – 2z = 4; 2x + z=-3; and 2y + 3z = -1 What is the value of x + y + z?

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Q: 7. Given: x + 3y – 2z = 4; 2x + z=-3; and 2y + 3z =-1 What is the value of x + y + z?

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Q: I(n) = ;n² - 글까-10 5-2t h(t) = t- 1 %3D S(h(0.5)) =

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Q: Q2) Show that y = 35 x* – 30 x2 +3 satisfies ( 1- x² )y" – 2xy' + 20y = 0 %3D

A: y =35x4 - 30x2 +3 satisfy (1-x2)y" - 2xy' +20y =0 for this wew find  y" and y' y' = 140x3 - 60x y" =…

Q: of the indicated d 2. 17 in Z 4. 2x-3 in Z[x] 6. 2x -3 in Q[x] -8 2 10 in ZIr]

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Q: Z1 and 22 are supplementary. Z1 = 124° 22 = (2x + 4)* What is the value of x?

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Q: Q4 If z = x In(xy) a3 z a4z Find and əy²əx əx²əy²

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Q: 1. Find the first-order derives: III. y = (2x* – 5)(3x5 + 12) IV. V4x? + 7+ 5-x° + 15x – 30 5x+ 4x3

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Q: - Q3): If xfx + yfy = nf show that x²fxx + 2xyfxy + y² fyy = n(n − 1)f

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Q: Q2/ (A) Evaluate 4-x x3 2 dydx 4-9 Ans. 16 8 e

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: -4f(x-1) + 2 has been reflected over the x-axis True or False?

A: Given a function f(x)\displaystyle f\left(x\right), a new function g(x)=−f(x)\displaystyle…

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

A: The given equation is ax2+bx+c=0.

Q: et xー4x-i7x +12 . Find xS. y'= 3x=-8K-17 y"- 6K -マ y"! =6' i2 y= x- =人 - 6x2 + 3x-2,what is 12

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Q: bah ow )o (d) be . Solve for 0<x <1, u"- u =-f(x) u' (0) = u' (1) = 0.

A: As f(x) is an arbitrary function, we will use Green's function to find the general solution.

Q: -2 0 b) Given -2 6. and X- show that x'Ax = 27, suggest that 5x + 6x + 7x - 4X,X, + 4X,X, -27

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Q: :The domain of \(y=v(1-x^2) \) is :Select one a. R/ [-1,1] b. (-1,1) c. [-1,1]

A: we have to find the domain of the given y.  Note:the domain of √f(x) is f(x) &gt;=0

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.