The equation of the line with gradient 3 which passes through the point (1, -4) is: O y = 7x – 3 O y = 7x + 3 O y = 3x – 7 O y = 3x + 7

Q: Find the points on the curve y=x(x-1)(x-2) which have the same gradient use @ for 2

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Q: Find equations of both lines through the point (2, –3) that are tangent to the parabola y = x2 + x.…

A: We have to find equations of both lines through the point (2 , -3) that are tangent to the parabola…

Q: The line 3x + 2y +14 0 has a gradient of and y-intercept of Where appropriate, give your answer as a…

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Q: 5. Find the gradient of the curve i) y = 3e-2x – 1 at the point where x =. ii) y = xv2x - 3 at the…

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Q: What is the equation of a line parallel to 킹 =Dz+ 2 that passes through (1, 2)?

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Q: 6. Parallel to the line Y = = -}(x – 100) – 99, 3 4 passing through (1, 3)

A: Given query is to find the equation of the line passing through (1,3) and parallel to the line…

Q: Find the slope of the line tagent to the curve of y = In x/x at point (1,0)

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Q: The line represented by 3x-4y=16 is dilated by a scale factor of 3 centered at the origin. Which…

A: The dilation is the way of transformation. Every parent figure can be dilated by a scalar factor. By…

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

A: Here, the given curve is: f(x)=2x2 To find two tangent lines that pass through (-1,-6)

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

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Q: What is the equation of the curve passing through the point (3,-2) and having a slope at any point…

A: We want to find correct option.

Q: Determine the equation of the line tangent to the curve (x+y)^7 = x^7 + y^7 (x+y)  at (−1,1).

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Q: Show that the line passing through the points (7,5) and (-1,7) is parallel to the line y…

A: For solving this question we will use the concept of coordinate geometry. First of all we have to…

Q: 5 Find the equations to both lines through the point (2,-2) that are tangent to the parabola y = x²…

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Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: Find equations for two lines through the origin that are tang net to the curve x²-4x+y²+3=0 .

A: We have given equation of curve x2-4x+y2+3=0. We also know that the slope of the line will be the…

Q: Use implicit differentiation to help you find the value of the gradient for the equation x² – ev =…

A: given equation x2-ey=yx-2+8 claim- use implicit differentiation to help you find the value of the…

Q: Find the line tangent to the curve x 3 + y 3 4 at the point (-3/3, –1). V3 y = 3 x – 4 V3 4 - 3 -V3…

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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: 2. What is the slope of the line tangent to the curve 8x³ – y² = 4 at the point (1,-2)? 3. What is…

A: Since first subparts question statement missed. Answer 2 and 3

Q: Find equations of both lines through the point (2, -3) that are tangent to the parabola y = x2 + x.…

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Q: Find an equation of the line through the point (1, 2) that is perpendicular to th = --x +3 Select…

A: The given question is solved below.

Q: Find the equation of a that has a y" = 4 if it has a slope of of 3 Curve Second derivative %3D at…

A: equation of the curve  is given below...

Q: 5) What is the equation of the line tangent to y = 2x³ + 3x - 1 atx=0?

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Q: Find the equation of the tangents: y=x² + 6x² + 10x + 8 parallel x-y= 2. to the line А.…

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Q: A line I has a gradient of m₁ = Which one of the following lines will intersect I at right angles? 4…

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Q: What is the equation of the line tangent to the curvev= x² – 1 at the point -2,3) y = x+ O y=-4x +…

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Q: The curve y = 2x² +- k has a gradient of 5 when x 2. Calculate: (а) The value of k. (b) The minimum…

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Q: The slope of a tangent line at (1, 4) is 2. What is the equation of the line? Select the correct…

A: As asked we can answer the question with out all explanation in the following steps

Q: The curve has a gradient function 2x - 3 and passes through (1,-6). Find the value of x when y = 0

A: Clear solution is given.

Q: . Find the gradient of the TANGENT LINE at the given points y = 4 - 3x2         at (-1, 1) y = x2 -…

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Q: Find the gradient of w= 3x² - 5y* + 2z at the point (1, 1, -2)

A: The given function is: w=3x2-5y2+2z2

Q: Find the gradient of the curve y = 36 (2х - 3) at the point (3, 4)

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Q: What is the gradient of the curve y = x^3+4x^2-6x+3   at the point where x=-2 ?

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Q: 4) Find an equation to the line tangent to y = 5 + |x – 2| at the coordinate (2, 5).

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Q: Find equations of all lines having slope −3 that are tangent to the curve y=3/(x−4)

A: Equations of all lines having slope −3 that are tangent to the curve y=3x-4

Q: The gradient at (-2,1) is

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Q: 2. What is the slope of the normal line to the curve 4x2 - 9y2 = 1 at point (3,2) ? a. 3 b. - 8. С.…

A: Normal at any point on the curve is a straight line that intersects the curve at that point and is…

Q: The gradient of the tangent to the curve y=-3x³ + 4ax² - 5x + 4 at x = 1 is 2. The value of a is 2.…

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Q: Find the gradient of the curve . Y=4x^2 at x=3

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Q: Determine the equation of the line tangent to y = /1+x³ at the point (2, 3).

A: The given function is y=1+x3. Its derivative is obtained as, dydx=ddx1+x3=121+x3ddx1+x3=3x221+x3 at…

Q: What is the equation of the curve that passes through the point (0, 3) and has a slope at any point…

A: We have to find

Q: The equation of the line with gradient 4 which passes through the point (1,2) is: O y = 2x – 4 y =…

A: Equation of line can be taken as y=mx+c

Q: A heat-seeking particle is located at the point (2,3) on a flat metal plate whose temperature at a…

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Q: Line has a -intercept at (0, 3) and an -intercept at (4, 0), . what is the gradient of L

A: The line has y-intercept at 0,3, and x-intercept at 4,0. Thus, the gradient of the line will be…

Q: A line that is normal to the curve x^2+3xy-4y^2=0 at (6,6) intersects the curve at what other point?

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Q: The slope of the line through the distinct points (x1, y1) and (x2, y2) can be interpreted as the…

A: The slope of the line through the distinct points (x1, y1) and (x2, y2) is defined as…

Q: The y-axis and the line x = c are the banks of a river whose current has uniform speed a in the…

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