Find the distance between 3x + y-5 = 0 and 9x+3y + 12 = 0 9/2 VIO 10 V2

Q: y+1-2 dy

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Q: 2. -1z"cosdz zl=1

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Q: Ex: Find the distance between the pt G(4₁-4,4) and the line x=2t₁ y=Z-3, z = at +2₂

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Q: dz and dy dz 3. If x? – 3yz2 + xyz – 2 = 0, find -

A: In this question we have to find the dzdx and dzdy.

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Q: an expiicit solu 'V1-y dx - V1- x² dy = 0; y(0): O 4+3/5 8 O 4-3/5 8 O 4-/5 O 4+ /5 2.

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Q: Find the equation of the line tangent to Y 3x2 + x + 1 at x = -3. у 3 —17г — 26 O y = 6x – 3 O y =…

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Q: Find the curve length 3 y = 1+ 6x7,0 <x<1

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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: dy 8. V1+ V1+x 1

A: From the given problem: I=∫-18dx1+1+x   ...1 Let, u=1+xSo,dudx=ddx1+xdudx=0+1du=dxFor the…

Q: Find the length of the curve 4t2 -1 dt, y = %3D 1<x<3 8. 15 104 3 3.

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Q: f(x, y) = 2x – x² – y? %3D -

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

Q: Solve for the domain and range of. f(x,y,z) = %3D V4-x2-y²

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Q: x+ y+ 2z=9 2x +4y - 3z = 1 3x +6y-5z 0 [1 1 29 2 4-3 1 3 6 -5 0 to the cecond to obtain

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Q: / uousənd Solve for x and y in the parallelogram. (3x 4) (4y +'3) X =

A: Solution:- Given the parallelogram                            we need to find the value of x and…

Q: Find the length of the curve y= 3/2x^2/3 from x = 1 to x = 8

A: Given,         The length of the curve y=32x23 from x=1 to x=8.We know that,         The length of…

Q: Find the length of the curve 3y = 2(x² + 1)2 from x = 0 to x = 3.

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Q: at what interval is  y=3x^5-5x^3 concave upward?

A: Given y=3x5-5x3

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Q: Find the curve length +3 + 6. 1 y = 1< x< 2 2x

A: Using formula of length of arc we can calculate.

Q: Find the length of the curve Y = 4x^3/2 from x = 1 to x =8

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Q: Find the length of the curve. y= (16-x2/3)3/2 from x=1 to x=64

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Q: Find dy2 of z = 2x – 5xy² + x² y° %3D -

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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: Find the yp of the equation (D2 +4y=asinax + 4e ex %3D

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Q: Find the length of the curve x = 3t2 + 10, y=2t3+ 11, O<t<1.

A: Given,         The length of the curve x=3t2+10 , y=2t3+11 , 0≤t≤1We know that,         The length…

Q: The shortest distance from the point (5, 10) to the curve x2 = 12y is: A) 4.331 в) 3.474 5.127 (D)…

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Q: Find the length of the curve 3x = (y² + 2)³/2 from y = 2 to y = 3 %3D

A: Use length of curve formula:-  for a given curve x = f(y) from y=y1 to y=y2 length of curve,…

Q: Find the length of the curve x = (y3/33) + (11/4y) on 3≤y≤5.

A: Consider the given curve f(y) and find the derivative w.r.t y.

Q: dy of y3Dx dr Find csc2r,

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Q: find the distance between 4y+3x=4 and (0,5)

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

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Q: Find the length of the curve. 3/2 y = (4 – x2/3 )2 %3D from x = 1 to x = 8 %3D %3D

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Q: Find the length of the curve y=3/2 x^2/3 from x=1 to x=8

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Q: Find the equations of the tangent and normal line 4x2 + y? + 8x + 2y = 20 at x = -3 %3D

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Q: Use the trapezoidal rule to evaluate ,2 2х dx % x² +1

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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 y' for 4x + 5y* – 1 = 132 at the point (2, – 1). | At (2, – 1), y' = Preview %3D

A: Given: 4x5+5y4-132 To find: y'  at  (2,-1)

Q: Suppose that 3x² - y² = t² and y=tsin 0. Find dy ().-0 (27). and X

A: Given 3x2-y2=t2 and y=tsinθ

Q: 2. Find in terms of Jo and J,: x²½(x)dx

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Q: The line 2x + 5y = 1 meets the curve x² + 5xy - 4y² + 10 = 0 at the points A and B. Find the…

A: The midpoint of the line joining the points: x1, y1 and x2, y2 is x1+x22, y1+y22. The roots of the…

Q: By means of Lagrange's formula, prove that 1 Yo = - 1 - [2 (y₁+y_₁). (Y3 - y₁) 2 -Y₁) - 2 (Y-₁-y-3)…

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Q: Find the distance between 2x + y + 2 = 0 and 4x + 2y − 3 = 0.

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Q: Solve for y in terms of x and z. z = xy

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: find the me value of funchio fix.y) = Sn+ 1y %3D 2n+y32

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Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: Find dy and simplify whenever possible. 1. y=(5-6x)¹2 4x-5 2. y=--- 2x + 1 3. y=(2x+5)(4x−1)

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Q: Find the length of the curve. 3 y =x4/3 - 2x2/3) from x = 1 to x = 64 %3D

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Q: Solve for the domain and range of. f(x,y,z) = V4-x2-y?

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