2. Find the slope of the curve y = 3x +1 at the point (-0). Draw the graph of the curve.

Q: use the grid and a straight edge to make a rough estimate of the slope of the curve (in y-units per…

A: Given Data The coordinates point at P1 is (0,0). The coordinates point at P2 is (1.1,2).   The…

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: Differentiate implicitly to find the slope of the curve at the given point. x^2+y^2=1; (2,3)

A: The given curve is

Q: Find an equation for the line perpendicular to the tangent to the curve y = x°- 16x + 6 at the point…

A: Given: y=x3-16x+6, 4,6 we know that equation of line which perpendicular to tangent at given point…

Q: 1) What is the slope of the graph y = 5e³x at x = 1?

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Q: Find the slope of the line normal to the curve y = x³ - 2x +1 at x = 2 -

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Q: Find the coordinates of the points on the curve y = x³ - 6x² + 14x – 12 at which the tangents have a…

A: We will differentiate with respect to x and equate the same to 5 and find the points.

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: 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 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

A:

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: 7. By definition find the slope of curve y = x2 – 2x – 3, at P(2, 3).

A:

Q: Find the point on the curve Y = √x closest to the point (3,3)

A: Given the curve is  y=x So the coordinates of any point in curve is given by x,x The distance…

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: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

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: Find the x-and y-intercepts of the line that is tangent to the curve y = x3 at the point (-2, -8).

A: The equation of tangent line to a curve y = f(x) at a point (a,b) is given by the below equation.

Q: Find the slope of the curve y=x4 at x=3.

A: Find the slope of the curve y=x4  at    x=3.

Q: Differentiate implicitly to find the slope of the curve at the given point. x2+y2 = 1; (4, 7) O 7…

A: The given equation is:x2+y2=1The point is 4, 7

Q: 1. Find the DE of all straight lines with slope and y-intercept equal.

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Q: find the slope of the curve at the given points (x2 + y2)2 = (x - y)2 at (1, 0) and (1, -1)

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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: At what points on the curve x=3t^2 + 1, y=t^3 -1 does the ranger line have a slope 1/2?

A: The slope of the tangent line is given by, dydx=dydtdxdt=ddt3t2+1ddtt3-1=6t3t2=2t Given that the…

Q: 5y If the slope of a curve is what is the slope of another curve orthogonal to it? [a] B. - D. - C.…

A:

Q: Are there any points on the curve y = x - e^-x where the slope is 2? If so, find them.

A: To determine the point where the slope of the function is 2.

Q: End the Vellue of g) if the slope of the Curve y= x-2x is (2)?

A:

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: Find the slope of the following curves at the indicated point. 1. y= 4-x? at (3, - 5)

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Q: 1) Find the slope of the linels) tongent to the graph of (y+x)²-y =x² at X=0.

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Q: Differentiate implicitly to find the slope of the curve at the given point. 3-y3=D5; (3,5) %3D 0 2…

A: We have to find the slope of the curve at the given point. For this we will find derivative dydx…

Q: 1. What is the slope of the following graph? y 小Y "כ- ד- TTX +4--+ 543-2 - 2 $ 4 5 +-2 -3--- +-1 -…

A: Topic : Coordinate Geometry  slope = 2

Q: Find the slope of the curve at the point where 0 = 4

A:

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 x-coordinate of the point where the curve y = x3 - x crosses the horizontal line y = 1.

A: Given:                                 y=x3-x and y=1  Let                                y=x3-x…

Q: The slope of the curve y=x' +3x² – 6x +5 at (1,3) is -

A:

Q: What is the slope of the secant line that intersects the graph of h(x) = 16 – z at z = l and a = 4?

A: The slope of the secant line or any other line can be defined as the rise to the run ratio which is…

Q: 3. Find the slope of the curve of the function y = at the point P (2,-).

A:

Q: B. Find the slope of the curve at the given point. x = - u+3 X = - u2-9 u-3

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Q: -4 The number of tangents to the curve of y=- x³ + 6x? which have a slope of 8 is:

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Q: B. Find the slope of the curve at the given point. 16. 2x²-3x+1 at (2, 3) 17. =3x²-2x+1 at (-1,6)…

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Q: 49. Find the slope of the curve y = (2x2 - x+ 3)(x + x+1) at (1, 12).

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Q: find the slope of the curve at the given points y2 + x2 = y4 - 2x at (-2, 1) and (-2, -1)

A: Slope of the curve is the derivative of the curve at the given point. So differentiating given curve…

Q: 9. What is the slope of the curve at the given point? 5x? + 2xy – y = -3 at (,2)

A:

Q: 6. Graph the line with the equation y= jx+ 1.

A:

Q: 2а3x at (a, a) ,2 x2+a²

A: Given curve is,

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: Find the slope of the curve x3y3 + y2 = x + y at the points (1, 1) and (1, -1).

A: Given,

Q: 41. Find the slope of the line joining points on the graph of y = x² that have x-coordinates of -a…

A: