Find the equation of the curve whose slope at any point is equal to 1+y/(x ln⁡x )-1/ln⁡x and which passes through the point (e,e+1)

Q: The curve y = ax2 + bx + c passes through the point (2, 32) and is tangent to the line  at the…

A: Given curve: y = ax2 + bx + c passes through (2,32) and  (0,0) line at the origin is tangent to the…

Q: The slope of the tangent line to the parabola y = 2a2 + 2a + 6 at the point ( – 2, 10) is: The…

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Q: Find the equation of the curve whose slope at any point (x, is given and which passes through the…

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Q: Find an equation for the line that is tangent to the curve y = 2x3 - 8x at the point (2,0). (Type an…

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Q: Find equations of the tangent lines to the curve y = 6 n) at the points (1, 0) and (e, at the point…

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Q: Find the slope and equation of the tangent line to the graph of the equation at a given point. Show…

A: Slope- Point form : y-y1 =mx-x1 ; where ,'m' is slope and x1,y1 point.

Q: a. Find an equation for the line that is tangent to the curve y = x3 - x at the point (-1, 0). b.…

A: (a) Consider the provided equation of curve and point where the tangent drawn is shown below,

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 equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin…

A: Equation does not passing through origin.  Hence there are no tangent line whose passing through…

Q: Find equations of the tangents to the curve x = 3t2 + 1, y = 2t3 + 1 that pass through the point (4,…

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Q: Find the equation of the line tangent to the curve. y= -3x + x^2 +2 at the point (3,2) Include y= in…

A: The given equation of the curve: y=-3x+x2+2

Q: Find an equation for the line tangent to the curve y =x +1 at the point (-2,5). Sketch the curve and…

A: The curve is y=x2+1 at the point (-2,5).

Q: 4. What is the slope when you illustrate tangent line to the graph of the equation y 2x2 – 3x + 5 at…

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Q: Find the slope and equation of the tangent line to the graph of the equation at a given point. 1. y…

A: Given y = 2x² + 4x.     Point ( -2 , 0 ) To find slope & equation of tangent line.

Q: Find equations of all lines having slope −3 that are tangent to the curve y=12/(x−8).

A: Given: y=12x-8

Q: Find an equation of the tangent line to the curve at the point (3, 7). y= x-1/x-2 +5

A: We can make it easier for you

Q: find the equation of the curve passing through the point (0,2) and having slope x+ex-sinhx at point…

A: Given problem is : find the equation of the curve passing through the point (0,2) and having slope…

Q: he slope of the curve 2y2=ax2+b at (1,-1) is -1.Find a,b

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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: A curve passes through the point (0,5) and has the property that the slope of the curve at every…

A: Slope of the curve is given by dy/dxdy/dx is twice the y coordinate. So, dy/dx=2y

Q: The slope of the tangent line to the curve y 2a at the point (- 5, – 250) is: The equation of this…

A: here for slpope we have to differentiate function y =2x3 dy/dx = 6x2 slope at (-5 , -250) dy/dx =…

Q: Find equations of all tangent lines to the graph of y = 4x + 40x² + 125x + 118 which pass through…

A: We have given equation of graph y=4x3+40x2+125x+118. We have to find equations of all tangents which…

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: f(x) = 2x − x2 We need to find the equation of two tangent lines to the graph of f that passes…

Q: Find the equation of the curve that passes through the point (0, 3) and has a slope of 2 x+1 O y =…

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Q: ind the curve that has slope (x+1)^2 and that passes through the point (−2 8)

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Q: Find equations of the tangent lines to the curve y = o mc) at the points (1, 0) and at the point (1,…

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Q: A curve passes through the point (0, 5) and has the property that the slope of the curve at every…

A: A curve passes through the point (0, 5) and has the property that the slope of the curve at every…

Q: Find equations for the horizontal tangent lines to the curve y = x3 - 3x - 2. Also find equations…

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Q: Find the slope the tangent to the curve y² = 3x² + 4 through point (-2, -4)

A: Given: y2=3x2+4   , -2,-4

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: Given function is fx=4x-x2

Q: The slope of the tangent line equation to the graph of the function y = 5/x-9 at (81,36) i

A: Given:y=5x-9  at 81,36Equation of tangent line:y-y1=mx-x1

Q: curve contains (3, 7) has slope of tangent line is 4x − 5. What is the curve equation?

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 8,  (2, 20)

A: Given, The equation of a curve is y = 2x3 − x2 + 8 at  point (2, 20)

Q: Find an equation of the tangent line of the curve y= x^3 -3x+1 at the point (2,3

A: We have to find equation of tangent line

Q: Passing through the origin (0, 0), there are two lines tangent to the curve y =x + 1, one with…

A: Let (x, y) be the point of tangency on the given parabola. Hence, the tangent passes through the…

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: ind an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given

Q: A curve has a slope -X+2 of at each point (X,y) on the curve. Which of the following is an equation…

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Q: slope = -1; passes through the point (-4, 10)

A: The slope intercept form is written as y=mx+c

Q: Find the slope of the given point of the equation of the tangent line y=x^2-5 P(2,-1)

A: Slope of the tangent is obtained by dy/dx

Q: The tangent line to a certain curve at any point P(x, y) has an x-intercept (not slope) equal to 3…

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Q: 15. Find the equation of the curve whose slope at any point is equal to -(y + 1)/(x +1) and which…

A: We have to find the equation of line when given slope and passing through the point

Q: A curve passes through the point (0, 9) and has the property that the slope of the curve at every…

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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 equations of the tangent line and normal line to the curve y = x3- 2x 1+ at the point (0,…

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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: A curve has a slope -X+2 of at each point (X,Y) on the curve. Which of the following is an equation…

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Q: The equation of the tangent line to the curve X2+y2=169 at the point (5,-12) is

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Q: Find equations of the two tangent lines to the graph of f(x) = 2x2 that pass through the point (1,…

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