If (5,0) Are the coordinates of an X intercept of y=f(x), then what are the coordinates of an x intercept of y=f(x-2)   (x,y)=

Q: Find the equation of the line tangent to the graph of y = 2x - 8x2 + 2x -6 at x = 2. | %3D

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Q: Find the derivative of y = (2x³-6)*(3x-2)2

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Q: Find the equations of both lines that are tangent to the curve y = x - 3x2 + 3x - 3 and are parallel…

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Q: Find the equation of the line tangent to the graph of y = 4x (x - 4x + 5) at the point (2,8). y =

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Q: 2. Find y in terms of x if = 6x² – 2x and the curve passes through the point (1, 5). -

A: We have to find the value of x if dydx=6x2-2x and the curve passes through the point (1,5).…

Q: Find the derivative of  g(z) = 4z7-3z-7+9x

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Q: The line whose slope is -3 is tangent to the curve y = x² + 3x + 2 at the point 0 (-3, 2) 0 (3, 2) 0…

A: We will solve the problem.

Q: Find the equation of the line normal to x3y-2xy2= - 4 at the point (-2,1)

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Q: 9x3 + 7x + 1 y = 2х — 1

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Q: Find the derivative of y = (4 - 2x³)(2x + x³). O a. y= 12x5+ 16x - 12x² - 8 O b. y = 12x° + 16x³ +…

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the…

Q: Find an equation of the curve that passes through the point (1, 3), and has the given slope y′ =…

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Q: Find an equation of the secant line containing (1, f(1)) and (2, f(2)). f(x) = x² - 2x

A: Rule:-equation of line passing thraught (x1,y1) and (x2,y2) is y-y1=y2-y1x2-x1(x-x1)

Q: Find the derivative of  C(x)=(2x3)/(3x4+2)

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Q: Find the derivative if  y = 12x5+3x4+7x3+x2-9x+6

A: Given: y=12x5+3x4+7x3+x2-9x+6 we know that ddxxn=nxn-1

Q: Find the derivative of the function. f(x) = In(6x2 - 5x + 4) %3D

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Q: Find the equation of the curve that passes through the point (1, 3) and has a slope of y/x2 at any…

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Q: Find the derivative of 4x - 9y = 17 9x y' = 4y -4x y' = 9y 9x 4y 4x 9y

A: Given problem:- Find the derivative of 4x² - 9y² = 17

Q: Find the first and second derivatives of y = 2(3x³ + 5x² – 2)13

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Q: Find the derivative of the function. y = In (8x 3- x 2) 24x-2 8x2 - x %3D 8x-2 O 8x2 -x 24x-2 8x2…

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Q: Find an equation of the curve that passes through the point (3, 1), and has the given slope y′ = −…

A: Given that y'=-y5xdydx=-y5x

Q: Use the deffinition of derivatives to deffrintiate y= -x3+3x-6

A: Here the given function is

Q: equation of the curve that passes through the point (0, 6) and whose slope at (x, y) is x/y.

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Q: Find the derivative of 4x +2 -(2) Y = -2x-4

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Q: Find the equation of th line perpendicular to the line 3y=2-4x and passing through the point (4,7)

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Q: Find the first and second derivatives of the functions

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Q: Find the equation of the tangent line  -4x2 + 3y2 = -24 ; (-3,2)

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Q: Find the derivatives of: y=(4x2-3x)3/(5x3+2x2)2  and  the derivatives of:  y=(x3+5x2)3(x2+3x)2

A: (a) Consider the given function, y=4x2-3x35x3+2x22 The quotient rule of derivative…

Q: The point (0, 1) has the distance from the line defined by y = -2x – 1

A: Solve for distance

Q: Find the derivative of C(x)=(2x3)/(3x4+2

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Q: What is the equation of the line tangent to the graph of y = (2x+3)/(3x-2) at the point (1,5)? 13x -…

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Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

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Q: Find an equation of the curve that passes through the point (1, −2), and has the given slope y′ =…

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Q: Find the first and second derivatives. y = 5x² - 15x – 6x-2 %3D

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Q: Find an equation of a line that is tangent to the graph of f(x) = x³ -3 and Perpendicular to the…

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Q: 4. Find the equation of a curve whose slope at any point is equal to x + + and which passes through…

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Q: Find the equation of the family of curves whose slope at any point (x,y) is   2. x/y

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Q: Your equation is x^4-2x^2+1 with the first derivative as 4x^3-4x and the second derivative as…

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Q: At what point does the graph of the function f(x) = x³ – 3x has horizontal tangent ? Find equations…

A: a) Points are (1,-2) and (-1,2) b) Lines are y=-x-1, and y=-x+3

Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

A: To find the equation of family of curves whose slope is given .

Q: ]Find the x-intercept of the curve that passes through the point (0,2) and whose slope at (x,y) is…

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Q: Find an equation of the line that is tangent to f(x)= x^3+2 and parallel to the line 3x-y-4=0

A: Given f(x)=x3+2

Q: Can you help me find the third derivative of this problem. y= (x³-2x)²

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Q: find an equation of the tanfent line to the curve at the given point y = 4x – 3x², (2, –4)

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Q: Find the derivative of y = (x² + 4)²(2x³ – 1)³

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Q: Find equations of both lines that are tangent to the curve y = x3 - 3x2 + 3x - 3 and are parallel to…

A: The given curve is represented by y = x3 - 3x2 + 3x - 3 and are parallel to the line 3x - y =…

Q: What is the equation of the curve passing through the (1, 16) and having a slope at any point (x,y)…

A: Given- 2xyx2+3 To find- The equation the curve passing though the (1,16) and slope at any point x,y…

Q: What rule should be used in getting the derivative of a.)y = x^8 + 2x^6 - x^3 - 4x  b.)…

A: a) y=x8+2x6-x3-4xb) y=2x5+x-3x3c) f(x)=1-2x2

Q: Find the derivative of the function. 3x-4 %3D 2. X+6x y' = ]

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Q: Find equations of both lines that are tangent to the curve y=x3 -3x2+3x-3 and are parallel to the…

A: Given, curve y=x3 -3x2+3x-3 and tangent are parallel to the line 3x-y=15.

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.