find the slope of the curve at the point indicated y = x3 - 2x + 7, x = -2

Q: What is the slope of the line tangent to the curve 4y² +xy – 2x2 = 3 at the point (-1,–1)? -5 (B) 4

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Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x + 12. (-2,6) (2,-6) (-2,-6) (2,6)

A: We have to find point of inflection of given function.

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: Differentiate implicitly to find the slope of the curve at the given point. xy3-x5y2=-4; (-1,2)

A: Given:- xy3 -x5 y2 =-4  To find:- slope of tangent at point (-1, 2)

Q: Find an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

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Q: Write the equation of the line tangent to the graph of y = x3 at the point where x = -1.

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Q: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

A: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

Q: Find an equation of the curve that passes through the point (0, 2) and whose slope is xy?

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Q: Find the slope of the curve y = x3 + 8x +14, where the curve crosses the x-axis

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Q: find the slope of the curve at the point indicated.

A: We need to find the slope of the curve at the point indicated, y=5x-3x2,x=1

Q: + 5

A: Introduction: The tangent of the function of the form y=f(x) at a point a is derivative of this…

Q: find the slope of the curve at the point indicated y = 5x - 3x2, x = 1

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Q: Find an equation of the line tangent to the curve defined by x2 + 6xy + y 32 at the point (2, 2).…

A: v

Q: Find the slope of the curve 1 at the point P (2, ;).

A: Explanation of the answer is as follows

Q: Find the point on the line y = 2x + 8 that is closest to the origin.

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Q: Find the slope of the line tangent to the curve 5x3 + 2x5y − y2 = 2 at the point (1,3) Write your…

A: Explantion: Given that: 5x3+2x5y-y2=2 Concept: slope of line m=dydx dxndx=nxn-1 duvdx=udvdx+vdudx

Q: Find the equation of the line segment tangent to the curve y−2x^2−1=0 which is parallel to the line…

A: Given curve is y-2x2-1 = 0

Q: Find the slope of the curve y = 2x* + 3x + 2x? - 1 at a point where it crosses the x-axis

A: The point where y crosses x-axis the value for y is 0. Find the value for x for which y = 0.…

Q: Find the slope of the curve y = 2x3 - 3x2 - x +5 at (2,– 1)

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Q: Find the equation of the lines tangent to the curve x2 + y2 = 4 and parallel to the y-axis ?

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Q: The slope of the curve y- xy- 3x = 1 at the point (0, -1) is а. 1 с. -1 b. 2 d. -2

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Q: Find an equation for the line that is tangent to the curve y = 3x-3x at the point (1,0).

A: y = 3x3 - 3x P= ( x1 , y1 ) = ( 1,0 )

Q: Find the point on the graph of y = x2 where the curve has slope -6.

A: Given curve is y=x2. To find the point on the graph of given curve where the slope is -6. Solution:…

Q: Find the equation of the family of curves whose slope at any point (x,y) is 3x2+4

A: To find: the equation of the family of curves whose slope at any point (x,y) is 3x2+4  We know that…

Q: Write the equation for the curve that has slope of 2y/x for each point P(x,y) on it and passes…

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Q: Find the equation of the curve whose slope at any point X-2 3-y and passes through (-1, 1

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Q: Differentiate implicitly to find the slope of the curve at the given point. y3 + yx2 + x2 - 3y2 = 0;…

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Q: Find the slope of the curve y = 2x* + 3x³ + 2x2 – 1 at a point where it crosses the x-axis

A: y=2x4+3x3+2x2-1 A curve crosses the x-axis at a point where its y-coordinate is zero. Therefore…

Q: Find the eqaution of the curve that passes through (0,1) if its slope is given by y'=1/2X at any…

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Q: Find the equation of the curve whose slope at any point is y+2x

A: We have, the slope of the curve at any point is y+2x. dydx=y+2xdydx+-1y=2x        ⋯⋯1 Clearly, it is…

Q: Find the slope of the curve y = x2 + 4x - 10 At the point (2, 3)

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Q: 8 y = x = 7 4+x ' ||

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Q: find the slope of the curve x^2+y^2-6x-4y-21=0 at (0,7)

A: Given curve  x2+y2-6x-4y-21=0we find slope at (0,7)

Q: ) Find the slope of the curve x +y3- 6x²y = 0 at x = 1

A: Slope of a curve: For non- linear functions, the rate of change varies along the given curve. So,…

Q: Find the slope of the curve defined by the equation x²y – 8 = 0 at the point (2, 2)?

A: The required slope of the given curve can be found as below

Q: Find the slope of a line tangent to the curve y = 15x- 5x at x = 1

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Q: Find the slope of the curve at the given point. y3= x3/2a-x   at (a,a)

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Q: Find the equation of the curve that passes through (1,13) and having a slope of -4x at that point.

A: *given:- slope, dy/dx = -4x points (x, y) = (1, 13)   *to find:- equation of the curve.

Q: Determine the equation of the line tangent to the graph of y when x = 9. 2 + VI

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Q: What is the slope of the curve y = 1 + x^2 at the point y = 10?

A: We will solve the following

Q: What is the slope of the line tangent to the curve 8x3-y2=4

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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: Find the point on the line y= 7x + 2 that is closest to the origin.

A: Given,           The line y=7x+2 that is closest to the origin.

Q: Find the equation of the family of curves whose slope at any point (x, y) is 2. y 4. equal to the…

A: We need to find the family of curves. NOTE - As per our guidelines we can not solve multiple…

Q: Find the point of the line y = 2x − 1 that is closest to the origin.

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Q: Find the slope of the curve at the given point. y=2x^3−3x @ (-1,1)

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Q: Two is the slope of the curve y = 4x + x2 at what point?

A: Slope of a curve is given by m=dydx  Use this formula to solve above question.

Q: The slope of curve is given as (2x + b + ) and has a value of 17 2x3 at x = 2. What is the value 16…

A: Topic   = Integartion

Q: Find the point on the line  y = 5x + 2  that is closest to the origin.

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Q: Find the equations of the line tangent to the curve y = x³ + x , where the slope is equal to 4.

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