Draw the graph of y = 3x2+7x +3 and find the gradient of the curve at the point where x=-2 (the following graphs have been supplied to assist you in answering the question)

Q: Find a possible equation for the linear function g(x, y) shown in the graph below

A: Solution -  g(x,y) is a linear function. let g(x,y) = ax+by+c from graph of g(x,y). The graph…

Q: Find the equation of the curve that passes through the point (1, 3) and has a slope of at any point…

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Q: The cost C of manufacturing transformers in a factory varies with the output N per day according to…

A: maxima minima question, if it is helpful, like and thumbs up.

Q: Locate the points of inflection of the curve y = (x^2)(e^x) * -2± /3

A: Solve the following

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

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Q: For the function y =-4x –x* + 3x + 1, the values of the y-coordinate and the gradient at x=-1 are A…

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Q: h (x) = [ƒ (x)P + g (x), what is the equation of the line tangent to the graph of h at x=-1?

A: Given,           hx=fx2+gx

Q: Find the slope of the curve Y = Vx at the point P (4, 2).

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Q: Q11. Obtain the general equation of the curve whose slope at any point is equal to y - 2x.

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Q: Find the point on the curve y2 = ;(x+1) which is nearest the origin.

A: We have to find the point on the curve y2=52x+1 which is nearest the origin.

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A: The given equation is y=x4+3x3-2x-2, x=-3. Find the slope of the line tangent to the graph of the…

Q: Find the X coordinates to the curve Y= X^5 - 5X^4 when the gradient = 0

A: Given equation is Y= x5- 5x4 Gradient =0

Q: 1) Find the equation of the curve whose slope at any point p(x,y) is m = (x * +16x + 4)²(x ³ + 4)…

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Q: Find an equation for the line tangent to the graph of 4x f(r) = I + 8| at the point (2, 0.8).

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Q: The graph of y= fx) is shown. 15 The graph of the gradient function, f(x), could be f(x)

A: We have to find f’(x)

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

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Q: 6. Find the equation of the curve whose slope at any point (x,y) is xy and which passes through the…

A: 6. We know that the slope of the function is defined as dydx given that xy Therefore, dydx=xy or…

Q: find an equation of the Tangen line to the graph of y = e^-x^2 at the point  (2, 1/e^4)

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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 equation of a linw whose gradient is 3/2 and which passes through the point P,where P…

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Q: Find the point on the curve y2 =;(x + 1) which is nearest the origin.

A: If (x, y) is any point on the curve nearest the origin then the square of its distance from the…

Q: Find the equation of the tangents to the graph y = x^3 + 3x^2 - 15x -20 at Ox-y-9=0 O9x-y-48 = 0 O9y…

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Q: Find the point on the curve y2 =(x+1) which is nearest the origin.

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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: х-у+2z (2,0, – 3) 2x + у-z'

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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: 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: what is the gradient of 3x + 2y + 14 = 0

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Q: Find the equation of the tangent line to the graph of the function f(x) = 4x - at x = -2. Give your…

A: Use formula of equation of tangent line.

Q: 2) Find the equation of the curve whose slope at any point p(x,y) is m =x (x +5)² and passing…

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Q: Find the exact lenght of the curve. when 0 is less x and x is less than or equal to 1 y=2+2x3/2

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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 equation of the family of curves whose slope at any point (x,y) is given and which passes…

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Q: The slope of the curve y = (5x² + 8x + e)eje at x = 0 is

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Q: Find the slope of the curve at the indicated point. y = x2 + 3x - 5, x = 2 O m = 7 O m = 2 m = 10…

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Q: (2,-4). At what point on the graph of f (x) = x² – 5x +2 is the gradient equal to 10? (12)

A: here this is the question of co-ordinate of function.  here we have to find slope of equation so the…

Q: If fx) =vx+2, and g(x) =f(x), find the slope of the curve g(x) = f -1 (x) at the point (2, 2).

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Q: Find the slope of the following curve at x = 4. 1 y = х- 2 The slope of the given curve at x= 4 is

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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: Find the gradient: f(x, y) = 3x³ - 4x²y + y² at (1,-1)

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Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: Find the equation of the line that is tangent to the graph of f(x)=3x^2−5 at x=2. You should enter…

A: The tangent line of a cure at a point is the line which touches the curve at the point, such that…

Q: 3.Find the coordinates of the points on the curves y =x3 -3x2-12x+10 with the gradients -2.

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Q: Find the gradient of the graph a) y = 6-3x where x = 5 )y= 12 + x-3x? where x = - 3

A: Find the gradient of the function

Q: 5x-2 Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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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: x2-xy+y2=36

Q: Find the gradient at that point on the curve of y=2x2 - 3x +1where x=1.5. For what value of x will…

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Q: An object is moving along the curve y=x2−2x+3. Find a point on the curve at which the y−coordinate…

A: We need to find the point on the curve at which  the y−coordinate is changing 4 times faster than…

Q: x-3x2+2 Find the gradient of the tangent to the curve y: at x = -1.

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Q: Find the equation of line (L) that passes through the intersection point of che two functions y = v2…

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