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

Q: Find the equation of the line tangent to the curve y=x-x^2 (x squared) at x=-4

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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 equation of the line tangent to the curve y = 3x?(x² – 6x) at x = 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: At what points does the equation of the line tangent to the curve y=1/x have a slope equal to −1?

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Q: If ƒ′(x) = 3x + 2, find the slope of the line tangent to the curvey = ƒ(x) at x = 1, 2, and 3.

A: Slope of the tangent line is the derivative of the given function at the given point. Therefore…

Q: Find the equation of the curve for which y"= 2x³. The slope of the inflectional tangent at (-1, 3)…

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Q: Find the slope and equation of the tangent line for the equation 5.x'y – 6y° = 7x² – 35 at (1,2).

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Q: Find the slopes and equations of the lines tangent to y = f(x) at the given point.

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Q: Find the equation of the line segment tangent to the curve y−2x2−1=0y−2x2−1=0 which is parallel to…

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Q: Find the equations of the tangent and normal lines to the curve y=x²-2x-3 that is parallel to the…

A: The given equation of the curve {parabola} is y=x²-2x-3  and the given equation of the straight line…

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: The gradient of the line with equation y = 2x – 3 is: 3 O 2 O 3 O -3

A: Here, the given equation of a line is: y=2x-3

Q: Find the slope and the equation of the tangent line to the curve and explain briefly.  y = 2x^2 –…

A: The slope of the curve at any point  x1,y1 can be calculated by using the formula m=dydxx1,y1 ,…

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: At the two points where the curve x² – xy + y² = 36 crosses the x-axis, the tangents to the curve…

A: Given equation of the curve is: x^2 - xy + y^2 = 36 ..................... (1) Differentiating above…

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

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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 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: Find the slope of a line tangent to the curve of the given equation at the given point. y = x2 - 3;…

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Q: Find the equation of the family of curve whose slope at any point (x,y) is (x+1)/(y-1)

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Q: 2. Find the slope of the curve at the point indicated. a. y = 5x – 3x²,x = 1 x-1 b. y =,x = 0 x+1

A: Find the slope

Q: Determine the equation of the line tangent to the graph given by y = at the point x +1 (4, }).

A: To find the equation of the line tangent to the graph y=xx+1 at the point 4,25

Q: Find the equation of the curve that passes through the point (0, 2) and has a slope of at any point…

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Q: Write the equation of the line tangent to the graph of y = 5xe*+4 at x = 1. a) y = 5e-1+4 b) y =…

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Q: Find the equation of the curve that passes through the point (8, 6) if its slope is given by dy =6z-…

A: We have to find y

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 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: If the slope of an arbitrary curve y=f(x) at a point p0(x0, f(xo)) is S. So do you think the slope…

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Q: Show At what points does the equation of the line tangent to the curve y=1/x+3 have a slope equal to…

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Q: For what point on the curve of y = 9x - 2x is the slope of a tangent line equal to - 38? The point…

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Q: Find an equation of the line that is tangent to the grapt Function Line 4x-y+2 = 0

A: Since, we have been given up the function:-f(x)=2x2 -(i)Differentiating equation-(i), with respect…

Q: Find an equation of the curve that passes through the point (0, 2) and whose slope at (x, y) is x/y.

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Q: find the slope of the curve at the point indicated y = x - 1/x + 1, x = 0

A: Given, y=x-1x+1 and the point x = 0

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

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Q: Find the equation of the line tangent to the graph of y = 4x'-9x-7 at the point (1,8).

A: Method to find tangent at a point of any curve.

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

A: We will solve the following

Q: Determine the slope-intercept equation of the line tangent to the graph of y = 4x^2 - 7x + 1 at x =…

A: y=4x2-7x+1 We need to Determine the slope-intercept equation of the line tangent to the graph of the…

Q: Find the equation of the curve whose tangent line has a slope of f'(x)=5x-6/7 if the point ​(minus…

A: Given that And it is passing through (-1,-9).

Q: Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent line.

A: Solution :   Given that                      y=x3+x   and The slope is equal to 4 i.e m= dydx=4

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 an equation of the line that is tangent to the graph of fand parallel to the given line.…

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Q: Determine the equation of the line parallel to y+1=0 and tangent to y = 3x – 5x + 4 -

A: Recall that the slope of the parallel lines is equal. And the slope of the tangent line at any point…

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 equation of the line that is tangent to the curve y=2x3−6x and is perpendicular to 18y+x+3=0…

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Q: Find the equation of the line that is tangent to the graph of y= x^3 +4/x^2 at point (2,9)

A: The equation of tangent line to y=f(x) at (x0,y0) is y-y0=f'(x0)(x-x0)